1 00:00:10,580 --> 00:00:15,060 OK. Last week, we did Hume's regularity theory. I can try this again. 2 00:00:15,060 --> 00:00:21,990 There we are. And I'm just there are a few people who are looking a bit bemused at the end of it. 3 00:00:21,990 --> 00:00:26,670 So I thought that what I'd do is I'd go through the arguments again, just briefly. 4 00:00:26,670 --> 00:00:37,530 So the question that we're asking is, what is causation? And if you remember, I said causation is important because without its prediction, 5 00:00:37,530 --> 00:00:43,530 an explanation and manipulation of our environment would be difficult, if not impossible. 6 00:00:43,530 --> 00:00:50,970 It's our causal beliefs on which we rest of predictions, explanations and manipulations. 7 00:00:50,970 --> 00:00:59,370 So the question that we're trying to ask is, what is causation? And according to Hume, David Hume, the Scottish philosopher. 8 00:00:59,370 --> 00:01:05,280 It's regularity now. That's that's shorthand a bit because it's more than just regularity. 9 00:01:05,280 --> 00:01:15,600 It's also temporal priority and spatial contiguity. But the key for the human theory of causation is its regularity or constant conjunction. 10 00:01:15,600 --> 00:01:20,880 And his reason for that is because that could be our only evidence for causation. 11 00:01:20,880 --> 00:01:27,690 So we see one billiard ball hitting another. We do not don't see causation in the individual case, says Hume. 12 00:01:27,690 --> 00:01:33,690 But we see another billiard ball hitting another and that rolling off and another billiard ball hitting another and it's rolling off. 13 00:01:33,690 --> 00:01:42,720 And the experience of that correlation causes us to think that it's the first billiard ball hitting the other that causes the other to roll off. 14 00:01:42,720 --> 00:01:46,500 So causation is constant conjunction. 15 00:01:46,500 --> 00:01:54,630 And an obvious objection to that is, hang on, surely causation is the necessary connexion between the two events. 16 00:01:54,630 --> 00:01:59,190 That explains the regularity. It's not the regularity itself. 17 00:01:59,190 --> 00:02:03,810 It's the necessary connexion behind it. That explains the regularity. 18 00:02:03,810 --> 00:02:14,850 That's causation. And Hume, based on his theory of ideas and you remember we talked about the difference between impressions and ideas. 19 00:02:14,850 --> 00:02:23,370 That habit of expectation, that observations of regularity and stillness makes us think that there's a necessary connexion. 20 00:02:23,370 --> 00:02:27,540 But actually, you cannot experience necessary connexion. 21 00:02:27,540 --> 00:02:33,030 You can experience a connexion, but not any necessity of that connexion and signals. 22 00:02:33,030 --> 00:02:39,030 We can't experience it. We can't either form a coherent idea of it. 23 00:02:39,030 --> 00:02:44,640 So we're answering the question, what is the causation? According to Hume, it's regularity. 24 00:02:44,640 --> 00:02:50,830 An immediate knee jerk objection is. But causation is the necessary connexion that explains the regularity. 25 00:02:50,830 --> 00:02:57,660 It's not the regularity itself. Hume says no, it is only the regularity. 26 00:02:57,660 --> 00:03:03,620 The only reason that we think it's the necessary connexion is that we think it's necessary connexion. 27 00:03:03,620 --> 00:03:15,180 And we spread that habit on the world. We project that belief onto the world and unthink that causation is itself necessary connexion. 28 00:03:15,180 --> 00:03:21,690 Okay, so that's what we did last week. Now, are there any quick questions of clarification? 29 00:03:21,690 --> 00:03:25,770 I don't want any questions of substance at this point because we haven't got time. 30 00:03:25,770 --> 00:03:33,170 But any quick questions of clarification about the human regularity theory? 31 00:03:33,170 --> 00:03:36,960 Nope. Jolly good. Okay. This week we're going to look at HEWs. 32 00:03:36,960 --> 00:03:42,150 Two definitions, of course. We looked at it last week, but we didn't divide it into the two. 33 00:03:42,150 --> 00:03:52,410 So we'll have a look at each one separately. And then we're going to look at the nature of counterfactuals and counterfactual dependence. 34 00:03:52,410 --> 00:04:00,030 Then we're going to look at counterfactual theories of causation. And just as I called the Regularity Theory of Causation RTC. 35 00:04:00,030 --> 00:04:05,160 I'm calling this one CTT Counterfactual Theory of Causation. 36 00:04:05,160 --> 00:04:08,460 I'm going to look at some problems for the counterfactual theory. 37 00:04:08,460 --> 00:04:17,850 And I'm going to end by looking at the nature, the relationship between the counterfactual theory of causation and the regularity theory of causation. 38 00:04:17,850 --> 00:04:24,660 They were always seen as rivals by the people who developed the counterfactual theory of causation. 39 00:04:24,660 --> 00:04:34,780 But as we'll see, it looks as if the counterfactual theory of causation is actually a version of the regularity theory of causation, 40 00:04:34,780 --> 00:04:39,540 and that rather puts the cat amongst the pigeons for various reasons. 41 00:04:39,540 --> 00:04:43,350 And I'll explain why as we look at that. OK. 42 00:04:43,350 --> 00:04:49,140 Right. So let's have a look at humans. There's Hume's first definition of causation. 43 00:04:49,140 --> 00:04:53,790 We may define a cause to be an object followed by another. 44 00:04:53,790 --> 00:04:59,550 Where are all the objects? Similar to the first are followed by objects similar to the second. 45 00:04:59,550 --> 00:05:03,060 So the object is the first billiard ball hitting the second beli ball. 46 00:05:03,060 --> 00:05:09,640 That's the first object. And the second object is the second billiard ball rolling off. 47 00:05:09,640 --> 00:05:10,100 Okay. 48 00:05:10,100 --> 00:05:19,730 So when we get an object that's similar to a first billiard ball hitting the other, we get an object similar to the second billiard ball rolling off. 49 00:05:19,730 --> 00:05:23,480 That's the regularity theory of causation. 50 00:05:23,480 --> 00:05:35,840 But then Hume continues in the same sentence or in other words, hey, where if the first object had not been the second, never had existed. 51 00:05:35,840 --> 00:05:40,670 Now, that's interesting. I mean, is that equivalent to that? 52 00:05:40,670 --> 00:05:45,380 He does make it sound as if it is when he says or in other words. 53 00:05:45,380 --> 00:05:51,440 But actually, this is surely a statement of necessary connexion, isn't it? 54 00:05:51,440 --> 00:05:55,220 If the first had not been, the seconds never had existed. 55 00:05:55,220 --> 00:06:03,590 In other words, if the first billiard ball hadn't hit the second billiard ball, the second billiard ball would not have rolled off. 56 00:06:03,590 --> 00:06:10,730 That's the counterfactual theory of causation. And it's interesting that Hume seems to take them as equivalent. 57 00:06:10,730 --> 00:06:16,280 The counterfactual theory of causation as equivalent to the regularity theory of causation. 58 00:06:16,280 --> 00:06:23,800 But in about the 1970s, people stopped thinking that. 59 00:06:23,800 --> 00:06:32,270 And before I could describe the counterfactual theory of causation, I've got to look at the way I meant to change that. 60 00:06:32,270 --> 00:06:35,840 I meant to change that because grammar is horrible. It should be. 61 00:06:35,840 --> 00:06:40,040 If Lee Harvey Oswald didn't shoot Kennedy, somebody else did. 62 00:06:40,040 --> 00:06:45,500 So pretend that's what it says. I changed it on my machine and forgot I'd sent this in already. 63 00:06:45,500 --> 00:06:49,790 So if Lee Harvey Oswald didn't shoot Kennedy, somebody else did. 64 00:06:49,790 --> 00:06:58,830 Is that true or not? Put up your hand if you think it's true. If Lee Harvey Oswald didn't shoot Kennedy, somebody else did. 65 00:06:58,830 --> 00:07:03,650 It's got to be true, hasn't it? Okay, that's just a conditional. 66 00:07:03,650 --> 00:07:08,600 That's a conditional sentence which divides into two the antecedent. 67 00:07:08,600 --> 00:07:14,450 If Lee Harvey Oswald didn't shoot Kennedy, then there's an implicit then in there. 68 00:07:14,450 --> 00:07:17,870 Somebody else did. That's the consequence. Somebody else did. 69 00:07:17,870 --> 00:07:25,910 So you've got an antecedent clause. If Lee Harvey Oswald didn't shoot Kennedy and a consequent clause, somebody else did. 70 00:07:25,910 --> 00:07:30,560 And we're quite good at determining the truth value of such statements. 71 00:07:30,560 --> 00:07:38,720 But what about this? If Lee Harvey Oswald hadn't shot Kennedy, someone else would have. 72 00:07:38,720 --> 00:07:42,830 Is that true? Not necessarily. 73 00:07:42,830 --> 00:07:46,970 It might be. But you'd have to tell a story about it, wouldn't you? 74 00:07:46,970 --> 00:07:57,140 So where is that one, at least if you can see what happened? I just you know, I put that one there and forgot to change the antecedent clause. 75 00:07:57,140 --> 00:08:01,850 We can look at the first one and see immediately that it's true. Has to be true. 76 00:08:01,850 --> 00:08:09,080 I mean, Kennedy is dead and he died of a gunshot wound. So if Lee Harvey Oswald didn't do it, somebody else must have done it. 77 00:08:09,080 --> 00:08:14,330 But if Lee Harvey Oswald hadn't shot Kennedy, somebody else would have done. 78 00:08:14,330 --> 00:08:18,680 Now, maybe that is true or maybe it's false. 79 00:08:18,680 --> 00:08:26,270 The difficulty with that one is as a subjunctive, conditional on a counterfactual conditional. 80 00:08:26,270 --> 00:08:33,740 And traditionally, counterfactuals have been thought of as conditionals where the antecedent is false. 81 00:08:33,740 --> 00:08:40,430 But actually not all counterfactuals as such that the antecedent clause is false in this one. 82 00:08:40,430 --> 00:08:51,080 Indeed. Arguably it is true. So instead we should think of them as subjunctive conditionals. 83 00:08:51,080 --> 00:08:58,060 Okay, so what are the truth conditions of that? And let's have a look at the next one. 84 00:08:58,060 --> 00:09:03,290 OK. If the Germans had won the war, we would be speaking German. 85 00:09:03,290 --> 00:09:09,590 Is that true or not? Put up your hands if you think that one's true. 86 00:09:09,590 --> 00:09:14,480 If the Germans had won the war, we would be speaking German. 87 00:09:14,480 --> 00:09:27,780 Put up your hand if you think that's true. Okay, put up your hand if you think it's false and put up your hand if you haven't got the foggiest idea. 88 00:09:27,780 --> 00:09:34,020 Yes, quite reasonable. Okay. That's the difficulty with counterfactual conditionals. 89 00:09:34,020 --> 00:09:43,710 Actually, we do use them all the time and we talk about them as if they have perfectly straightforward truth conditions. 90 00:09:43,710 --> 00:09:51,590 But actually, they don't. Not straightforward truth conditions in the way ordinary count the conditional statements have. 91 00:09:51,590 --> 00:09:52,980 And with that one, 92 00:09:52,980 --> 00:10:02,340 it looks as if it can't be any state of affairs in this world that makes that statement true because the Germans didn't win the war after all. 93 00:10:02,340 --> 00:10:11,280 So how how can what can make that true or false? There can't be any state of affairs in this world that makes that true or false. 94 00:10:11,280 --> 00:10:20,910 That's that's the thought. And so people thought about giving a counterfactual theory of causation for quite a few years in 95 00:10:20,910 --> 00:10:28,950 between Hume's regularity theory and the counterfactual theories when they were developed in the 70s. 96 00:10:28,950 --> 00:10:38,130 But they didn't because it was explaining causation, something mysterious in terms of counterfactuals, which are even more mysterious. 97 00:10:38,130 --> 00:10:52,950 And so nobody bothered because it didn't seem worthwhile. But then we started to understand the logic or the semantics of counterfactuals. 98 00:10:52,950 --> 00:11:00,720 Okay, so in 1940, Stefan Rudolf Carnap printed his meaning, a necessity. 99 00:11:00,720 --> 00:11:08,260 And in that, he introduced the idea. He used the possible worlds talk that was introduced by Liben. 100 00:11:08,260 --> 00:11:13,860 It's to explain the truth conditions of counterfactuals. 101 00:11:13,860 --> 00:11:23,670 And just to tell you how important truth conditions are, if you're trying to explain the meaning of the word cat to your child, you show it. 102 00:11:23,670 --> 00:11:27,720 Lots of cats. And you don't hear it. Lots of black cats, do you? 103 00:11:27,720 --> 00:11:35,040 Or lots of fat cats. You show it. Lots of tortoiseshell cats, some ginger cats and black cats and lots of different cats. 104 00:11:35,040 --> 00:11:39,570 Until the child is able, you point to a cat and you say, is that a pussy cat? 105 00:11:39,570 --> 00:11:43,980 And the child says, yes. And you point to a dog and you say, is that a pussy cat? 106 00:11:43,980 --> 00:11:51,300 And the charge you hope says no, because it's understood the conditions under which that's a cat are true. 107 00:11:51,300 --> 00:11:58,260 And the conditions under which that's a cat are false. In other words, it's got the meaning of cat. 108 00:11:58,260 --> 00:12:03,960 It's got the meaning of it's a cat. So the conditions of truth and falsity are very important. 109 00:12:03,960 --> 00:12:15,870 And Rudolf Carnap suggested that we can use all possible worlds to understand counterfactual conditionals and just to. 110 00:12:15,870 --> 00:12:21,210 That's him. It's nice to know who you're talking about. So that's Rudolf Carnap. 111 00:12:21,210 --> 00:12:29,880 And after Carnap in 1968. So you can see it took quite a long time for the logic of counterfactuals to be understood. 112 00:12:29,880 --> 00:12:39,000 Robert Stalnaker published a theory of conditionals. And again, with a hand out, you've got all the references that I'm using here. 113 00:12:39,000 --> 00:12:43,890 And that's Stalnaker just again, so you know who you're talking about. 114 00:12:43,890 --> 00:12:52,620 And then after Stalnaker, this came along. And this is probably the most famous book on counterfactuals, 1973. 115 00:12:52,620 --> 00:13:01,230 David Lewis, a book called Simply Counterfactuals. And in this was Lewis who gave a counterfactual theory of causation. 116 00:13:01,230 --> 00:13:06,870 And this is Lewis always looks nice, cheery chap. And he looks like Bill Radcliffe, doesn't he? 117 00:13:06,870 --> 00:13:11,980 Or rather Bill Radcliffe looks like him to those of you who know Bill Radcliffe. 118 00:13:11,980 --> 00:13:20,070 Okay, so it took quite a long time for an account of the semantics of counterfactuals come about. 119 00:13:20,070 --> 00:13:25,330 But this is what it is. If the Germans had won the war, we would be speaking German. 120 00:13:25,330 --> 00:13:31,020 OK, how do you determine the truth value of that? Well, there are two possible worlds. 121 00:13:31,020 --> 00:13:39,270 And what we've got to do is decide which one of them is closer. So is it the world in which the Germans won the war? 122 00:13:39,270 --> 00:13:44,550 And we are speaking German, or is it the world in which the Germans won the war? 123 00:13:44,550 --> 00:13:52,140 And we're not speaking German in which. In other words, which takes us further from reality. 124 00:13:52,140 --> 00:13:58,200 So we know we're taken away from this world. Was we looking at the possible world in which the Germans won the war? 125 00:13:58,200 --> 00:14:03,840 Well, there are two of them. One of them, we're speaking German. And in the other one, we're not speaking German. 126 00:14:03,840 --> 00:14:14,160 Which of those is closer to the actual world? In other words, which of them is closer to actuality than the other? 127 00:14:14,160 --> 00:14:26,570 So that's that's the semantics of possible. Now, if you're thinking what possible worlds? 128 00:14:26,570 --> 00:14:31,040 You're thinking quite reasonable view, there's not a logical explosion here. 129 00:14:31,040 --> 00:14:40,280 And if that bothers you, you're quite right. I mean, it is we've if we're going to accept possible worlds semantics, 130 00:14:40,280 --> 00:14:47,990 if we're going to introduce an ontology of possible worlds in order to explain the truth, conditions of counterfactuals. 131 00:14:47,990 --> 00:14:53,750 And you might think I really am very uncomfortable with this. 132 00:14:53,750 --> 00:14:59,120 It's like introducing possible objects as well as actual objects and things like that. 133 00:14:59,120 --> 00:15:03,200 Now, we haven't got time to talk about that here, so we're not going to talk about it. 134 00:15:03,200 --> 00:15:06,380 But again, I've put it on the notes and on the reading. 135 00:15:06,380 --> 00:15:11,030 There are plenty of things you can follow up on if you want to read a little bit more about that. 136 00:15:11,030 --> 00:15:16,640 But you're quite right. If you're worried about possible worlds, the only thing I can say in defence of it is, 137 00:15:16,640 --> 00:15:26,320 is that it looks as if what physicists seem to think that they need possible worlds and logicians seem to think that they need possible worlds. 138 00:15:26,320 --> 00:15:34,010 And they're not the same thing because physicists, of course, the possible worlds they introduce are empirically possible. 139 00:15:34,010 --> 00:15:40,040 In other words, they they think that they can conduct empirical experiments to show that there are such worlds, 140 00:15:40,040 --> 00:15:50,240 whereas logicians conduct any thought experiments. But it's interesting that both physicists and philosophers think that possible worlds are needed. 141 00:15:50,240 --> 00:15:54,980 I say philosophers. I mean logicians, of course, because it's mathematicians, too. 142 00:15:54,980 --> 00:16:01,620 But that's all we're going to say about possible worlds. We can talk about it later, if you like. 143 00:16:01,620 --> 00:16:09,350 Okay. So the possible worlds theories of the semantics of counterfactual semantics is to do with truth conditions. 144 00:16:09,350 --> 00:16:13,490 Semantics is to do with truth and falsity. And I explained why. 145 00:16:13,490 --> 00:16:15,890 Truth conditions are important. 146 00:16:15,890 --> 00:16:27,050 So the semantics of counterfactuals appeals to possible worlds, and that enables us to think that counterfactuals are no longer mysterious. 147 00:16:27,050 --> 00:16:38,240 And so we can use them to explain causation. As long as there aren't other problems, we've taken away the mystery of counterfactuals. 148 00:16:38,240 --> 00:16:43,010 You might not think so, but. But those in the know think so. 149 00:16:43,010 --> 00:16:54,470 Okay, so now we'll look at counterfactual dependence, because that's the thing on which all counterfactual theories of causation depend. 150 00:16:54,470 --> 00:17:00,740 So here's a definition. So event e counter factually depends on events. 151 00:17:00,740 --> 00:17:04,970 See if and only if that I double F again. 152 00:17:04,970 --> 00:17:14,180 Not a misprint. If and only if. If C were not to occur, E would not occur. 153 00:17:14,180 --> 00:17:23,750 Okay. So if the first billiard ball hadn't second hit the second billiard ball, the second billiard ball would not have rolled off. 154 00:17:23,750 --> 00:17:28,520 So if, if C hadn't occurred E wouldn't have occurred either. 155 00:17:28,520 --> 00:17:32,570 That's counterfactual dependence. Any questions about that. 156 00:17:32,570 --> 00:17:39,890 Because that's pretty crucial. Is that a question about to arrive, Sean? 157 00:17:39,890 --> 00:17:48,920 Or were you just an intake of breath only? Good thing. 158 00:17:48,920 --> 00:18:02,170 Perfectly reasonable. No, you need oxygen. In what way? 159 00:18:02,170 --> 00:18:15,900 We're trying to establish that he has always said, but if we in advance assume that. 160 00:18:15,900 --> 00:18:24,760 Si, si. You see, I can sort of see why you think that. 161 00:18:24,760 --> 00:18:30,790 But I think the mistake has already been made and it's been made by you. 162 00:18:30,790 --> 00:18:36,250 I think you're assuming that necessary connexion comes and causation. 163 00:18:36,250 --> 00:18:43,510 What we've got here is is an account of which is we'll see in a minute that this isn't an account of causation. 164 00:18:43,510 --> 00:18:48,790 It's a counterfactual depending on which an account of causation depends. 165 00:18:48,790 --> 00:19:02,080 But the idea is that C is what makes a difference. And the difference it makes is if it failed to occur, the other wouldn't have occurred. 166 00:19:02,080 --> 00:19:10,000 So there's no we're not assuming causation there, we're explaining it is the thought. 167 00:19:10,000 --> 00:19:16,330 Not happy yet. OK. Let's continue. If you're still not happy at the end, we can talk about it again. 168 00:19:16,330 --> 00:19:20,610 OK. So this is a definition of counterfactual dependence. 169 00:19:20,610 --> 00:19:26,910 E counterfactual. Depends on see if and only if if C were not to occur. 170 00:19:26,910 --> 00:19:34,900 E would not occur either. If the first billiard ball hadn't hit the second, the second wouldn't have rolled off. 171 00:19:34,900 --> 00:19:46,480 Okay. So all a counterfactual theories of causation depend on counterfactual dependence at some level. 172 00:19:46,480 --> 00:19:55,330 But there's a problem with thinking that counterfactual dependence is a causation, a theory of causation. 173 00:19:55,330 --> 00:20:03,220 And that's because although counterfactual dependence is sufficient for causation, it is not necessary for causation. 174 00:20:03,220 --> 00:20:11,200 And if counterfactual dependence were the same thing as causation, obviously it would have to be sufficient and necessary. 175 00:20:11,200 --> 00:20:20,520 But it's sufficient but not necessary. So two events can be causally related without one counterfactual depending on the other. 176 00:20:20,520 --> 00:20:26,260 And let me give you an example of that. Here's Lucy. 177 00:20:26,260 --> 00:20:29,950 Lucy, you see, she's got a name written underneath her. So, you know, it's Lucy. 178 00:20:29,950 --> 00:20:35,860 This is Lucy who's throwing a rock, as you can tell. And in throwing the rock. 179 00:20:35,860 --> 00:20:40,540 She shatters the window. Okay. There's a shattered window there. 180 00:20:40,540 --> 00:20:48,820 But Lucy's rock breaks the window. But the window shattering isn't counterfactuals dependent on Lucy's rock throwing. 181 00:20:48,820 --> 00:20:58,010 And the reason for that is because if Lucy hadn't broken the window, Brian would have done Bruns a much better shot than Lucy. 182 00:20:58,010 --> 00:21:03,070 He's much more practised at throwing rocks. Even those rock is a lot smaller. 183 00:21:03,070 --> 00:21:09,080 And he was waiting there beside Lucy and he threw just after she did. 184 00:21:09,080 --> 00:21:12,010 But her rock shattered the window in his didn't. 185 00:21:12,010 --> 00:21:19,390 But it's not true that if Lucy hadn't thrown her rock, the window would not have shattered because yes, 186 00:21:19,390 --> 00:21:25,080 it would, because Brian's rock would have shattered the window. Are you with me? 187 00:21:25,080 --> 00:21:32,080 So the counterfactual dependence is just not there. 188 00:21:32,080 --> 00:21:38,140 So there's causation and no counterfactual dependence. They cannot be the same thing. 189 00:21:38,140 --> 00:21:44,430 Now, do you all see that? I'm very happy to explain it again. If you'd like me to. 190 00:21:44,430 --> 00:21:50,670 Yes. That's all right. 191 00:21:50,670 --> 00:22:10,870 Si, si. I said different. It is said if this window is within that event then finally then. 192 00:22:10,870 --> 00:22:15,070 Because I see where you're going. 193 00:22:15,070 --> 00:22:23,350 And I think your intuitions are very sound. Let me try and explain this again. 194 00:22:23,350 --> 00:22:27,490 And I think you'll see where I'm going. But you're not wrong in saying what you've said. 195 00:22:27,490 --> 00:22:34,270 They are two different events. There's Lucie's rock throwing and bronze rock throwing, and they are two different. 196 00:22:34,270 --> 00:22:38,770 But what we want to say is that it's Lucie's rock throwing cause the window to shatter. 197 00:22:38,770 --> 00:22:40,480 That's true, isn't it? 198 00:22:40,480 --> 00:22:50,050 But what we're trying to postulate is that that's because the shattering of the window is counter factually dependent on Lucy's throwing the rock. 199 00:22:50,050 --> 00:22:59,110 But it's not because it's not true. That had Lucy not thrown the rock, the window would not have shattered. 200 00:22:59,110 --> 00:23:08,550 But what we're saying is that it's Lucy's role within that dance. 201 00:23:08,550 --> 00:23:12,420 But then that depends. Okay. 202 00:23:12,420 --> 00:23:16,600 I tell you what. Let me carry on for a few slides. 203 00:23:16,600 --> 00:23:20,860 And I think that we might explain your intuition. 204 00:23:20,860 --> 00:23:25,900 And if not, well, we'll look at it again. But I don't think that your intuition is wrong. 205 00:23:25,900 --> 00:23:32,570 I think you need to get the logic absolutely straight and that you happen to the moment, which isn't at all surprising. 206 00:23:32,570 --> 00:23:43,090 Therefore, I'm assuming that it was necessary for Ryan to throw a rock once, Lucy, because it was necessary. 207 00:23:43,090 --> 00:23:47,420 He didn't have to throw the rock there, therefore. Lucy and the road. 208 00:23:47,420 --> 00:23:51,650 No. There was no I've no idea what you're talking about. 209 00:23:51,650 --> 00:23:57,170 She shouldn't. This says the windows shatter is not dependent on comfort. 210 00:23:57,170 --> 00:24:04,470 And this is what if Lucy did not throw out the window broken? 211 00:24:04,470 --> 00:24:11,790 Well, the window wouldn't be broken then, but it would have broken only because Brun threw it. 212 00:24:11,790 --> 00:24:22,170 Yeah. Well, I think that's exactly the same. Is that the same problem? I was thinking after listening to two gentlemen here, I was thinking it works. 213 00:24:22,170 --> 00:24:33,480 If you knew the window breaking, rather let me you. 214 00:24:33,480 --> 00:24:39,240 I mean, I think I like the way that you're both thinking. Let me see if I can explain it. 215 00:24:39,240 --> 00:24:50,600 Where's the board rubber? Because a bit of tissue doesn't do it, frankly. Um. 216 00:24:50,600 --> 00:25:06,140 A causes B is equivalent to a B counter factually depends on A. 217 00:25:06,140 --> 00:25:09,500 Okay, that's what we're postulating. That's the hypothesis we're putting. 218 00:25:09,500 --> 00:25:14,030 So A cause is B is equivalent to B counterfactuals. 219 00:25:14,030 --> 00:25:29,360 Depends on A or had A not have occurred, B would not have occurred. 220 00:25:29,360 --> 00:25:34,640 Okay. Now an objection to that is go. 221 00:25:34,640 --> 00:25:40,580 I'll get out of the way as soon as I finish writing it because I realise I'm blocking it. 222 00:25:40,580 --> 00:25:45,150 Lucie's rock throwing are high. 223 00:25:45,150 --> 00:26:03,120 Fante's rock throwing caused the window to shatter but the window shattering. 224 00:26:03,120 --> 00:26:11,910 Did not counter factually depend on Lucie's through. 225 00:26:11,910 --> 00:26:16,140 That's the way the argument is going. So this is the claim. 226 00:26:16,140 --> 00:26:25,080 This is the hypothesis that we're considering is A causes B the same as be counter factually. 227 00:26:25,080 --> 00:26:29,380 Depends on A or had A not occurred, B would not have occurred. 228 00:26:29,380 --> 00:26:34,440 OK. So that's the hypothesis. And the counter example is. 229 00:26:34,440 --> 00:26:39,840 Well, no, that can't be right because Lucy's rock throwing cause the window to break. 230 00:26:39,840 --> 00:26:50,730 We accept that. OK. That that's given by the counterexample. But the window shattering isn't counterfactuals dependent on Lucy's rock throwing? 231 00:26:50,730 --> 00:26:59,340 Because had the window not shattered as a result of Lucy's rock throwing, it would have shattered as a result of Brian's rock throwing. 232 00:26:59,340 --> 00:27:05,280 OK. Let me let me continue, because I think we'll we might solve your problem in just a second. 233 00:27:05,280 --> 00:27:09,420 Let's try it. But first of all. OK. So this is the problem. 234 00:27:09,420 --> 00:27:14,460 Again, counterfactual dependence is sufficient for causation, but not necessary. 235 00:27:14,460 --> 00:27:22,260 That's what we're saying. Two events can be causally related. So Lucy's rock throwing and the window shattering can be causally related. 236 00:27:22,260 --> 00:27:29,580 Without the window shattering cause, lead counts factually depending on Lucy's rock throwing. 237 00:27:29,580 --> 00:27:36,270 I think your in your mind, you're accusing me of a lot of logical subterfuge here, aren't you? 238 00:27:36,270 --> 00:27:41,310 I can see that you think there's a logical sleight of hand going on. 239 00:27:41,310 --> 00:27:43,290 Okay, let's carry on. 240 00:27:43,290 --> 00:27:53,910 Lewis's first counterfactual theory of causation solves this problem by defining causation in terms of chains of counterfactual dependence. 241 00:27:53,910 --> 00:27:56,820 Now, somebody last week I can't remember who it was. 242 00:27:56,820 --> 00:28:05,280 Was it you actually who who came to me afterwards and said, surely what's important about causation is chains of causation. 243 00:28:05,280 --> 00:28:09,740 It was you. Primary was first. 244 00:28:09,740 --> 00:28:17,400 Right? Well, and I said to that this week, I would be giving exactly that. 245 00:28:17,400 --> 00:28:21,810 So Lewis solves the problem of counterfactual dependence not being necessary 246 00:28:21,810 --> 00:28:26,790 for causation by defining causation in terms of the ancestral it's called. 247 00:28:26,790 --> 00:28:30,870 That's the proper term, the ancestral of counterfactual dependence. 248 00:28:30,870 --> 00:28:36,940 In other words, chains of counterfactual dependence. So C is the cause of E. 249 00:28:36,940 --> 00:28:41,550 I'm very annoyingly I used lowercase letters before and I'm now using uppercase letters. 250 00:28:41,550 --> 00:28:45,510 That's very bad. But anyway, we'll ignore it. 251 00:28:45,510 --> 00:28:56,350 C is of course, of a if and only if there's a causal chain of counterfactual dependence leading from C to E. 252 00:28:56,350 --> 00:29:01,360 Or actually should be leading back from E to C. But anyway, in a month. 253 00:29:01,360 --> 00:29:11,610 So there is a chain from the shattered window to Lucy's rock throwing and there isn't such a chain from the shattered window to Brian's rock throwing, 254 00:29:11,610 --> 00:29:24,000 is the thought. So although you can say the window shattered, the window would not have shattered if Lucy's rock had not been there at T minus one. 255 00:29:24,000 --> 00:29:27,600 And if it hadn't been there at T minus one and so on. 256 00:29:27,600 --> 00:29:32,520 But there isn't such a chain back to Brian's rock throwing. 257 00:29:32,520 --> 00:29:40,560 So the first ever counterfactual theory of causation, which was the result of this possible world. 258 00:29:40,560 --> 00:29:53,190 Semantics of counterfactuals was C causes e if and only if there's a chain of counterfactual dependencies leading back from E to see that C. 259 00:29:53,190 --> 00:30:01,900 So if. See, had not occurred, you would not have occurred if the sea had not occurred, D would not have occurred. 260 00:30:01,900 --> 00:30:09,070 If he had not occur, E would not have occurred and so on. So it shows it suggests counterfactual, sorry. 261 00:30:09,070 --> 00:30:23,890 Causation is transitive, doesn't it? So if C causes E and E causes D, then C causes T as well, that will become problematic later on. 262 00:30:23,890 --> 00:30:31,720 Okay. Before I look at the objections, does anyone want to ask a question of clarification at that point? 263 00:30:31,720 --> 00:30:43,020 Is there the unofficial publication introduced by the fact that the window shattering does not have any time associated with it, 264 00:30:43,020 --> 00:30:50,070 that there would be much simpler to look at if it specified the window, shut it down? 265 00:30:50,070 --> 00:30:56,310 At which point you would need to specify that the ropes heated at the same time? 266 00:30:56,310 --> 00:31:02,200 Well, I think this is going to be the same problem that's going to be, I hope, solved in just a minute. 267 00:31:02,200 --> 00:31:06,950 I mean, it isn't the problem. So what isn't the problem then? 268 00:31:06,950 --> 00:31:11,790 The problem disappears. If you specify the of. 269 00:31:11,790 --> 00:31:16,560 Oh, I see. Okay. So if you say the window shattering happened at T. Okay. 270 00:31:16,560 --> 00:31:27,450 Will you give me another few slides. And I hope that will will solve that one because I'm going to talk about exactly that problem here. 271 00:31:27,450 --> 00:31:32,010 Okay. Any other questions of clarification before I move on to look at the problems? 272 00:31:32,010 --> 00:31:39,750 Bob, speak up. Isn't it the case that every time somebody claims counterfactual dependency, 273 00:31:39,750 --> 00:31:47,240 it's always possible to say that if Lucy shattered the window, somebody else might? 274 00:31:47,240 --> 00:31:52,020 Nobody is there. Somebody else might. Is there any cause at all? 275 00:31:52,020 --> 00:31:58,890 Something else? Well, I mean, you're all you all I can say to that is, is that that just shows us that that's counterfactual. 276 00:31:58,890 --> 00:32:06,000 Dependence isn't necessary for causation. Is isn't necessary or sufficient. 277 00:32:06,000 --> 00:32:11,010 Necessary, isn't it. Yeah. The bureau might even be irrelevant. 278 00:32:11,010 --> 00:32:17,040 Yes. Because we all we've got at the moment is a hypothesis and we're testing the hypothesis. 279 00:32:17,040 --> 00:32:22,620 And we've seen one reason to reject it. Maybe there are other reasons to reject it. 280 00:32:22,620 --> 00:32:26,670 Okay, so two objections were first brought to the CTC. 281 00:32:26,670 --> 00:32:30,150 So we've got the hypothesis. We've got an objection. 282 00:32:30,150 --> 00:32:37,440 We've got a possible solution, which is that we add chains of causation, but we're now looking to see if the change of causation will do it. 283 00:32:37,440 --> 00:32:43,800 And there are two reasons to think it won't. And the first problem is the problem of trumping. 284 00:32:43,800 --> 00:32:49,650 Now, are there any ex military men or indeed women in this audience? 285 00:32:49,650 --> 00:32:57,750 I'm rather inclined to ask you to leave. If I've got the wrong strong number of stripes, etc. 286 00:32:57,750 --> 00:33:02,490 It's a relevant right. 287 00:33:02,490 --> 00:33:07,230 Good. Thank you. I realise it's irritating if you're in the know. But um. 288 00:33:07,230 --> 00:33:12,150 Yes, okay. Chumping. This is why trumping is important. 289 00:33:12,150 --> 00:33:15,570 You can see why I'm a bit nervous about this. Okay. 290 00:33:15,570 --> 00:33:20,940 Let's say we've got the troops and we've got a sergeant and we've got a major there. 291 00:33:20,940 --> 00:33:26,370 Now it's true that these this may not be a sergeants or a major, but nevertheless, we're going to continue. 292 00:33:26,370 --> 00:33:28,710 So there's a sergeant and major. 293 00:33:28,710 --> 00:33:36,920 And if, like me, you know nothing about these things, you ought to know that a major trumps a sergeant every time if you're a military man. 294 00:33:36,920 --> 00:33:45,540 And so if both the major and the sergeants yell advance at the same moment, the troops will advance. 295 00:33:45,540 --> 00:33:51,270 And whose order? Are they obeying the majors? 296 00:33:51,270 --> 00:33:56,070 Exactly. Because the sergeants order is neither here nor there. 297 00:33:56,070 --> 00:34:02,720 If the if the major sites advance, the troops advance. And it's his order that they're being. 298 00:34:02,720 --> 00:34:09,750 And the problem we've got here is that there's no chain of counterfactual dependency that leads back from the 299 00:34:09,750 --> 00:34:19,290 major's order that isn't matched by a chain of counterfactual dependencies that leads back to the sergeants order. 300 00:34:19,290 --> 00:34:28,890 And there we really it does show that you're not wrong when you say aren't we just assuming something in here? 301 00:34:28,890 --> 00:34:38,550 Because all we've done is given to cause. And naturally, that second one is going to show it even more because earlier we looked at early pre-emption. 302 00:34:38,550 --> 00:34:44,580 So Lucy's rock throwing pre-empted, Brian's rock throwing, they happened at different times. 303 00:34:44,580 --> 00:34:53,070 But actually, if we look at late pre-emption, here's Lucy and her rock and her Broch rock breaks the window. 304 00:34:53,070 --> 00:34:58,640 But a split second later, Brian's rock sails through the window, too. 305 00:34:58,640 --> 00:35:08,190 Okay. And because it's a split second later, this is where you're bit about the time is absolutely right, because it's a split second later. 306 00:35:08,190 --> 00:35:14,610 There's no chain of counterfactual dependencies that leads back from Lucy's throw that 307 00:35:14,610 --> 00:35:20,490 isn't matched by a chain of counterfactual dependencies that leads back to Brian's throw. 308 00:35:20,490 --> 00:35:26,430 Now we know that it's Lucy's throw that breaks the bloody window. 309 00:35:26,430 --> 00:35:31,280 And we're trying to say that causation is counterfactual dependent. 310 00:35:31,280 --> 00:35:35,620 But it clearly isn't. Is it because counterfactual dependence? 311 00:35:35,620 --> 00:35:46,010 So let's sort of keep the argument flow going here so that we in fact. 312 00:35:46,010 --> 00:35:58,100 Let me move it a little bit. Where's the pen? 313 00:35:58,100 --> 00:36:06,710 So we've got the hypothesis. Causation is counterfactual dependence. 314 00:36:06,710 --> 00:36:13,370 And we've got an objection. No, there's counterfactual dependence. 315 00:36:13,370 --> 00:36:20,750 Sorry. There's causation and no counterfactual dependence. 316 00:36:20,750 --> 00:36:37,720 OK. That was early pre-emption. We've got an attempted solution to the objection, which is causation is a chain of counterfactual dependencies. 317 00:36:37,720 --> 00:36:51,480 And we've got objections. No, there's causation and sorry. 318 00:36:51,480 --> 00:37:01,890 Hold on. Yes, that's right, causation. Hang on. 319 00:37:01,890 --> 00:37:10,440 There's counterfactual dependence and no causation. 320 00:37:10,440 --> 00:37:12,480 That's right. So there's counterfeit. 321 00:37:12,480 --> 00:37:21,480 The window seems to counterfactuals depend upon Bryans throw, but brons throw doesn't cause the window to shatter. 322 00:37:21,480 --> 00:37:25,770 So how can causation be counterfactual dependent's? It can't. 323 00:37:25,770 --> 00:37:30,330 Do you see where we are in the argument as it goes through? 324 00:37:30,330 --> 00:37:33,120 So we're postulating a hypothesis. 325 00:37:33,120 --> 00:37:41,430 And each time we're putting up objection's, which question the hypothesis, we're putting up a new theory in the hope that this will do the trick. 326 00:37:41,430 --> 00:37:53,290 And in each case, so far it hasn't. So Lewis deals with this problem in a way that's going to so suit you and possibly you. 327 00:37:53,290 --> 00:38:04,650 And he introduces the notion of an alteration. So here's the definition of an alteration and event E that's identical to another event. 328 00:38:04,650 --> 00:38:13,170 ETR Except it occurs at a slightly different time, slightly different place, in a slightly different manner, etc. 329 00:38:13,170 --> 00:38:22,260 In other words, it's it's an event very like another event, but not the same one, not the identical event. 330 00:38:22,260 --> 00:38:30,000 And I mean, since the notion of an alteration. He talks of one event influencing another. 331 00:38:30,000 --> 00:38:37,680 So if an alteration of Lucy's rock throwing occurred, an alteration of windows shattering would occur. 332 00:38:37,680 --> 00:38:42,690 So if her rock had been thrown just two seconds later, the window would have shattered. 333 00:38:42,690 --> 00:38:51,690 Two seconds later. But an alteration of Brauns rock throwing would have no effect on the window shattering. 334 00:38:51,690 --> 00:39:00,690 Not on that window shattering. There might have been a different window shattering, which was the one that's caused by Bryans throw. 335 00:39:00,690 --> 00:39:06,630 Now, at this point, you might be getting a little bit bloody philosophers, you know. 336 00:39:06,630 --> 00:39:14,700 What are they talking about here? Okay, so this is the second counterfactual theory of causation. 337 00:39:14,700 --> 00:39:23,610 C causes E if and only if there's a chain of stepwise influence leading from E to C. 338 00:39:23,610 --> 00:39:30,960 So we've got a chain of stepwise influence that leads from Lucy's rock throwing to the window shattering 339 00:39:30,960 --> 00:39:37,310 because an alteration of Lucy's rock throwing would have led to an alteration of windows shattering. 340 00:39:37,310 --> 00:39:47,130 But there's no chain of stepwise influence leading from Brian's rock throwing to the shattering of the window. 341 00:39:47,130 --> 00:39:53,220 But as you might expect, objections were soon brought brought to this CTC. 342 00:39:53,220 --> 00:39:57,750 So the solution here. So, again, we've got a hypothesis. 343 00:39:57,750 --> 00:40:01,710 We've got objections to that. Early pre-emption is an objection. 344 00:40:01,710 --> 00:40:05,940 So the chains of counterfactual dependence were the solution. 345 00:40:05,940 --> 00:40:11,460 We've got two objections to that. Can't be because of trumping and late pre-emption. 346 00:40:11,460 --> 00:40:17,460 We've got a solution to that, which is stepwise influence. 347 00:40:17,460 --> 00:40:21,690 So we've moved away from counterfactual dependence itself. 348 00:40:21,690 --> 00:40:29,700 And we've moved away to counter factual influence. Of course, all this took some years. 349 00:40:29,700 --> 00:40:34,950 I mean, isn't it nice that you can all understand it and take it on board in five minutes? 350 00:40:34,950 --> 00:40:43,110 But it took quite a lot of time for this to actually happen. But as you can imagine, there are objections to this. 351 00:40:43,110 --> 00:40:51,220 So let's have a look at what these objections are. So let's have a look at choice of cause. 352 00:40:51,220 --> 00:41:01,620 OK, here's courtesy of Steve Photography. A camper lighting a fire. 353 00:41:01,620 --> 00:41:08,340 Now, you can imagine what happened. The lighting of the fire led to the conflagration that destroyed the forest. 354 00:41:08,340 --> 00:41:14,880 That's what happened. So the campers lighting the fire caused the forest to burn down. 355 00:41:14,880 --> 00:41:20,640 Okay, straightforward. And there's a woops. 356 00:41:20,640 --> 00:41:29,640 So I'm giving it away there. The trouble with that is that although there's a chain of stepwise influence that leads back from the fire, 357 00:41:29,640 --> 00:41:33,760 the forest burning down to the campus, lighting the fire. 358 00:41:33,760 --> 00:41:43,050 There's also a chain of stepwise influence that leads from the fire burning down to the birth of the camper, isn't there? 359 00:41:43,050 --> 00:41:44,000 It's true, isn't it? 360 00:41:44,000 --> 00:41:56,100 That had the camper not been born, the forest would not have burnt down, or at least that would have been an alteration of the forests burning down. 361 00:41:56,100 --> 00:41:59,460 It would have been a different type of burning down, wouldn't it? 362 00:41:59,460 --> 00:42:06,240 And so there's a chain of stepwise influence from the forest fire to the campers birth. 363 00:42:06,240 --> 00:42:12,810 Doesn't that mean that the campers birth was the cause of the forest burning down? 364 00:42:12,810 --> 00:42:18,010 Huh? No, course it wasn't. 365 00:42:18,010 --> 00:42:22,870 I mean, none of us would say that, would we? Or would we? Maybe Chris would. 366 00:42:22,870 --> 00:42:27,610 He's got his own slightly devious son. 367 00:42:27,610 --> 00:42:33,610 I mean, you can take your father and say big man. 368 00:42:33,610 --> 00:42:43,120 Well, that's that's just taking the objection even further. But it is exactly to force the what loses the force is the idea. 369 00:42:43,120 --> 00:42:53,980 It's a hypothesis that we're testing. So if counterfactual dependence is is basically the relation that that is causation. 370 00:42:53,980 --> 00:42:59,680 Well, then, Hans, the big bang not occurred. The forest would not have burnt down. 371 00:42:59,680 --> 00:43:09,350 So the big bang is the cause of the forest burning down. Well, if there's something wrong with that, surely. 372 00:43:09,350 --> 00:43:13,520 So we change nation. What's up? 373 00:43:13,520 --> 00:43:17,900 How is that different from a chain of causation? Which isn't that. 374 00:43:17,900 --> 00:43:25,470 Oh, I see. Well, we wouldn't normally wouldn't say that the camp has birth had caused the forest fire. 375 00:43:25,470 --> 00:43:31,700 No, I would say that without it, etc, etc., there wouldn't be a campfire to cause the forest fire. 376 00:43:31,700 --> 00:43:37,500 Therefore, we would change causation. No, there's a chain of counterfactual dependence. 377 00:43:37,500 --> 00:43:46,580 Yes. And this is what makes it look as if it's not a chain of counterfactual dependence that is causation. 378 00:43:46,580 --> 00:44:03,440 OK, let's. Sorry. Go on. Just things I think that if you take this long history that's also deterministic. 379 00:44:03,440 --> 00:44:13,100 And no, it needn't be deterministic. I think I said last week that that we often want to say that there's something probabilistic in causation. 380 00:44:13,100 --> 00:44:18,890 And you're absolutely right. We do. We're saying we can just add the word probably here. 381 00:44:18,890 --> 00:44:26,150 Had the well had the big bang not occurred, the forest fire probably wouldn't have occurred. 382 00:44:26,150 --> 00:44:30,470 Well, all we have to is, is the word probability. We've got it. 383 00:44:30,470 --> 00:44:35,540 But had the campers birth not occurred, the forest fire probably wouldn't have occurred. 384 00:44:35,540 --> 00:44:43,210 Allows for probabilistic causation. Let's bring this back to Brian. 385 00:44:43,210 --> 00:44:53,630 Brian. And then Brian Simons inspired that encourage about throwing you. 386 00:44:53,630 --> 00:44:58,360 Right. Does it go back to her? 387 00:44:58,360 --> 00:45:02,380 No. It would then go back to no. It would then be Brian's rock that shattered the window. 388 00:45:02,380 --> 00:45:07,850 And see, that doesn't change. You would say it was a chain that leads back to Brian's rock. 389 00:45:07,850 --> 00:45:14,060 So it's Brian's rock that caused it. He wouldn't have thrown it if he wouldn't get through it. 390 00:45:14,060 --> 00:45:18,740 So you could say that it was Lucy's getting ready to throw the rock that caused. 391 00:45:18,740 --> 00:45:26,660 Yes, you could say that. And actually, that takes me nicely onto the second objection here, which is the lack of transitivity. 392 00:45:26,660 --> 00:45:34,190 Objection. Okay. We were talking about bombs. These aren't bombs on my back here, but that's a bomb. 393 00:45:34,190 --> 00:45:38,060 And the story behind this, if I can get it right, 394 00:45:38,060 --> 00:45:50,840 is enemy who hasn't got another name is just called enemy like a bomb and puts it outside Lucy's door in the courtroom. 395 00:45:50,840 --> 00:45:54,260 Whether it is Lucy, maybe it's somebody else, but it doesn't really matter. 396 00:45:54,260 --> 00:46:01,340 Lucy's door, Brian comes along, sees the bomb about to go off and pinches out the fuse. 397 00:46:01,340 --> 00:46:05,300 And so Lucy survives. OK, no problem. 398 00:46:05,300 --> 00:46:14,140 So far, so there's a chain of stepwise influence from Billie's pinching out the fuse to Lucy's of Susie's survival. 399 00:46:14,140 --> 00:46:18,410 Thought it was someone else. Susan's survival. Except that OK. 400 00:46:18,410 --> 00:46:23,600 Had Billy not pulled out, the few pinched out the fuse. Lucy would not have survived. 401 00:46:23,600 --> 00:46:31,490 But it's also true that by the transitivity of stepwise influence had enemy not placed the bomb. 402 00:46:31,490 --> 00:46:36,710 Billy would not have pinched out the flute fuse. And Lucy Susie would not have survived. 403 00:46:36,710 --> 00:46:42,530 So the placing of the bomb that caused the survival of Lucy. 404 00:46:42,530 --> 00:46:48,500 Oh, no. That is really bad. We don't want that at all. 405 00:46:48,500 --> 00:46:53,240 There's something badly wrong with this account of causation. 406 00:46:53,240 --> 00:47:08,690 Do you see where I'm going? So the objections here are that there's too many causes. 407 00:47:08,690 --> 00:47:27,320 In other words, the camp has birth as well as the camper lighting the fire and it makes enemies placing the bomb a cause cause of Susie's survival. 408 00:47:27,320 --> 00:47:32,240 And again, we might. We think. No, no, no, no, no. 409 00:47:32,240 --> 00:47:36,620 That will not do. This can't be the right theory of causation. 410 00:47:36,620 --> 00:47:41,330 Would anyone like to to think of the next step? 411 00:47:41,330 --> 00:47:45,080 How are we going to get over this? There is a way of getting over this. 412 00:47:45,080 --> 00:47:55,890 Can anyone think that it might be. You might think it's blindingly obvious that this is a lousy theory of causation. 413 00:47:55,890 --> 00:47:58,530 But believe me, it took quite a long time. 414 00:47:58,530 --> 00:48:10,380 Something that's obvious when you explain it like this in its outlines is much less obvious as you're actually working through it. 415 00:48:10,380 --> 00:48:17,300 No one can see the solution to this one. Go and have a go. 416 00:48:17,300 --> 00:48:24,720 I assume that handwaving was. I have a hypothesis. It was my brain. 417 00:48:24,720 --> 00:48:33,680 It's funny, my brain works through my feet. I walk in if you have to stop. 418 00:48:33,680 --> 00:48:43,410 Stop saying the word. Well, funnily enough, you're going in the right direction. 419 00:48:43,410 --> 00:48:47,550 It's not stopping the chains so much. Should I go on? 420 00:48:47,550 --> 00:48:53,070 Can anyone be negative in this subway stop? 421 00:48:53,070 --> 00:49:01,110 I'm inclined to say that's always true. Branching or stopping. 422 00:49:01,110 --> 00:49:07,350 Otherwise, you're going to market. You don't want to go. The transitivity does that for us. 423 00:49:07,350 --> 00:49:15,150 I mean, lots of this is cause this problem has caused lots of people to say that causation isn't transitive, 424 00:49:15,150 --> 00:49:20,470 but Lewis has a completely different way of solving it. Okay, let's have a look at his way of solving it. 425 00:49:20,470 --> 00:49:28,010 And Lewis says he wants no truck with these principles of invidious selection. 426 00:49:28,010 --> 00:49:37,530 I just like that sentence. So I thought I'd quoted and he thinks that we've got to distinguish causation and explanation. 427 00:49:37,530 --> 00:49:44,610 Now, that's a really important distinction. And if this were a flip chart, I'd turn the page and write something down. 428 00:49:44,610 --> 00:49:48,420 But as it's not a flip chart, this is very irritating, isn't it? 429 00:49:48,420 --> 00:49:53,430 Do you think there's one behind her? No. 430 00:49:53,430 --> 00:50:00,000 There's a table. Right. 431 00:50:00,000 --> 00:50:13,820 Okay. Causation. An explanation. I said right at the beginning of these lectures that when we explain things, we tend to appeal to causal chain. 432 00:50:13,820 --> 00:50:17,640 So why did so-and-so get cancer? 433 00:50:17,640 --> 00:50:21,840 Lung cancer? Answer because he smoked. Well, hang on a second. 434 00:50:21,840 --> 00:50:25,200 So-and-so got lung cancer and she doesn't smoke. OK. 435 00:50:25,200 --> 00:50:27,450 There must be more to it than smoking. 436 00:50:27,450 --> 00:50:37,740 But you see that when we explain something, we appeal to some event in the causal history of what it whatever it is that we're trying to explain. 437 00:50:37,740 --> 00:50:45,140 And what Lewis says is that the causation and it's not just Lewis in Stanley and I'm the philosopher. 438 00:50:45,140 --> 00:50:55,230 It's important for or hugely important for making the distinction between causation and explanation is actually a philosopher called Donald Davidson. 439 00:50:55,230 --> 00:51:07,170 And it is a very important explanation because causation is, we think, a relation that exists in the world quite independently of us. 440 00:51:07,170 --> 00:51:12,960 If we weren't here. Causation would still exist. So the world would go on. 441 00:51:12,960 --> 00:51:17,500 It's just that we wouldn't be here to look at it if we weren't here. 442 00:51:17,500 --> 00:51:22,950 And let's take away animals as well for anyone else who? Anyone who thinks that animals go in for explanation. 443 00:51:22,950 --> 00:51:26,610 There wouldn't be any explanation, would there? 444 00:51:26,610 --> 00:51:37,350 They'd be causation, but nobody would be making use of all of their observations of causation in explanation of anything. 445 00:51:37,350 --> 00:51:41,520 So explanation is very much an epistemological relation. 446 00:51:41,520 --> 00:51:48,660 It's a relation that makes things intelligible to us. Causation is a metaphysical relation. 447 00:51:48,660 --> 00:51:53,180 It's a relation between events quite independently of us. 448 00:51:53,180 --> 00:51:57,030 OK. So there might be causation, but no explanation. 449 00:51:57,030 --> 00:52:09,990 But it looks as if there couldn't be explanation and no causation, because explanation depends upon identifying a causal chain or in some event, 450 00:52:09,990 --> 00:52:14,490 in the causal history of the events that you're trying to explain. 451 00:52:14,490 --> 00:52:20,670 Do you see the difference between causation and explanation? Absolutely vital difference. 452 00:52:20,670 --> 00:52:28,470 And Lewis would say we look at the campus birth. 453 00:52:28,470 --> 00:52:33,990 And of course, it is an event in the causal history of the forest fire. 454 00:52:33,990 --> 00:52:41,130 When we look at the and again, if I had a flip chart so I would draw lots of little circles in a tree like shape 455 00:52:41,130 --> 00:52:45,960 with the one at the top being a forest far and somewhere down here at the bottom, 456 00:52:45,960 --> 00:52:50,970 there would be the birth of the camper and somewhere even further down would be the big bang. 457 00:52:50,970 --> 00:52:57,360 And this is the causal history. All these events combined to produce the forest fire. 458 00:52:57,360 --> 00:53:07,530 Now, all those are events in the causal history, but we'd be off to pick out the campers birth in explanation. 459 00:53:07,530 --> 00:53:19,210 Of the forest fire. We use our principles of invidious selection as hers to choose the campus, lighting the fire light, lighting his campfire. 460 00:53:19,210 --> 00:53:24,610 That's what explains to us the the forest fire. 461 00:53:24,610 --> 00:53:28,750 But the forest burning down, not the birth of the camper. 462 00:53:28,750 --> 00:53:34,840 So whereas the campers lighting the fire makes the forest far intelligible to us. 463 00:53:34,840 --> 00:53:39,100 The campers birth doesn't. If you say how did this forest fire happens? 464 00:53:39,100 --> 00:53:44,180 And I say, because Fred was born on 21st of June, 1957. 465 00:53:44,180 --> 00:53:53,590 You were in, say, a. That's no explanation. But if I say that Fred lit a fire half an hour before the forest fire started. 466 00:53:53,590 --> 00:54:01,060 That makes the forest far intelligible to you. Do you see the difference between explanation and causation? 467 00:54:01,060 --> 00:54:08,980 So Lewis thinks that both those objections to his second counterfactual theory of causation. 468 00:54:08,980 --> 00:54:13,800 So the choice, of course, one. So, again, look at the bomb example. 469 00:54:13,800 --> 00:54:23,320 And it's quite true. The enemy is placing the bomb was an event in the causal history of Susie's survival. 470 00:54:23,320 --> 00:54:28,420 Because had it not happened, Billy couldn't have pinched out the bomb. 471 00:54:28,420 --> 00:54:34,930 And if Billy's punching out, the bomb caused Susie's survival, which would all agree to. 472 00:54:34,930 --> 00:54:42,850 Then so did an enemy's placing the bomb. But in explanation of Susie's survival, we're not going to cite the placing of the bomb, 473 00:54:42,850 --> 00:54:48,910 Alwi, because that wouldn't make Lucy's survival intelligible to us at all. 474 00:54:48,910 --> 00:54:55,630 Whereas Billy's pulling out, the fuse does make her survival intelligible. 475 00:54:55,630 --> 00:55:05,740 David? Well, the terms were explanation for what will stop intelligibility. 476 00:55:05,740 --> 00:55:12,880 What the term is intended, as well as purely practical. 477 00:55:12,880 --> 00:55:20,380 Yeah, well, there are certain things make other things intelligible to us and certain things don't. 478 00:55:20,380 --> 00:55:26,080 And so it might be that my the the firing of mine. 479 00:55:26,080 --> 00:55:32,170 Okay, so I. What's your name. Mike. Mike. I shoot Mike. 480 00:55:32,170 --> 00:55:36,970 Okay. What caused the death of Mike. Answer. Marianne's pulling the trigger. 481 00:55:36,970 --> 00:55:44,260 But it might be that my pulling the trigger is identical to neurone n firing in my brain. 482 00:55:44,260 --> 00:55:49,810 But if you say well what caused Mike's death and I say Marion's neurone then firing. 483 00:55:49,810 --> 00:55:56,650 It's not an explanation, is it not Nesser. You have a lot of other knowledge. 484 00:55:56,650 --> 00:56:04,270 Seems to be very much a matter of the judgement. Yes, but intelligibility is intelligibility is to do with us. 485 00:56:04,270 --> 00:56:08,640 And what we can understand, what might not be what might be intelligible. 486 00:56:08,640 --> 00:56:13,120 A smart. Ah well. 487 00:56:13,120 --> 00:56:20,170 Neurone ends. Firing Marianne's heads to a neurophysiologists might be a perfectly good explanation of Michael's death. 488 00:56:20,170 --> 00:56:26,380 Given that Michael was standing where he was standing and so on and so forth, whereas it's not at all an explanation to ask. 489 00:56:26,380 --> 00:56:31,560 So yes, indeed, explanation is is relative to who is doing. 490 00:56:31,560 --> 00:56:39,820 But let me use a simple example. You and your five year old granddaughter and your one hundred and five year old mother. 491 00:56:39,820 --> 00:56:47,240 Forgive me if I am insulting you with the ages I've chosen. Oh, jolly good. 492 00:56:47,240 --> 00:56:55,450 You're all watching television together. But I think you'll agree that each of you is getting very different things from what you're watching. 493 00:56:55,450 --> 00:57:03,220 And that's because something's intelligible to you. Only in the context of your picture of the world. 494 00:57:03,220 --> 00:57:07,960 So something you can understand is not something your five year old granddaughter is going to be able to 495 00:57:07,960 --> 00:57:14,710 understand and possibly even your hundred and five year old mother has things she can teach you yet. 496 00:57:14,710 --> 00:57:22,570 Maybe she understands more than what? Because she's got a even bigger experience. 497 00:57:22,570 --> 00:57:39,310 Maybe if she started to get a little violent, she uses slow slowness, which we'd separate causation and explanation. 498 00:57:39,310 --> 00:57:46,180 He looks right. Be aware of this all three. 499 00:57:46,180 --> 00:57:52,990 It is almost infinite yet. And it does go right back to the Big Bang. 500 00:57:52,990 --> 00:57:59,910 And before that, if there was anything before, there is no causal structure. 501 00:57:59,910 --> 00:58:10,390 Remember? There are only certain bits of it that are intelligible to us as the cause. 502 00:58:10,390 --> 00:58:14,450 But isn't this just about the convention? Well, no, it isn't convention. 503 00:58:14,450 --> 00:58:26,450 What it's a matter of is wait for it regularity. I mean, we can see a regularity between the lighting of a fire and the fires getting out of hand. 504 00:58:26,450 --> 00:58:28,190 That's the sort of thing we understand. 505 00:58:28,190 --> 00:58:37,500 We've seen that correlation before, but there's no correlation that we've observed between the birth of people and the forest fire. 506 00:58:37,500 --> 00:58:46,930 No, there could be something else. Like what? Well, the fire being caused by the camera, maybe because he was particularly angry. 507 00:58:46,930 --> 00:58:50,520 Oh. And turn the gas up too high. Yes. Yes. 508 00:58:50,520 --> 00:58:56,720 I mean. Well, do you remember I said last week that the striking causes the fire, the match to light, 509 00:58:56,720 --> 00:59:03,560 but actually it wouldn't if there wasn't also oxygen, etc., but that would be a married convention if we were lucky. 510 00:59:03,560 --> 00:59:07,910 Well, that's not a matter of convention. It's definitely not a matter of convention. 511 00:59:07,910 --> 00:59:11,870 It's a matter of empirical observation, isn't it? 512 00:59:11,870 --> 00:59:18,410 We know that if you were to strike a match in a vacuum with the camera, if he really was angry, 513 00:59:18,410 --> 00:59:23,960 if if the law case was deciding whether he was negligent or not cause the fire. 514 00:59:23,960 --> 00:59:26,120 Oh, I see what your argument is about. 515 00:59:26,120 --> 00:59:33,080 Well, when we start looking at the law and start apportioning causation according to the law, we do have to start looking at convention. 516 00:59:33,080 --> 00:59:42,500 That's true. But it but the thing that's important is causation is completely independent of us, whereas explanation is never independent of us. 517 00:59:42,500 --> 00:59:47,990 And the law takes it just one bit further. His explanation has to do with intelligibility. 518 00:59:47,990 --> 00:59:57,530 Law has to do with convention as well. The legend, whatever the legislation is, and case studies and not case studies case. 519 00:59:57,530 --> 01:00:02,570 What's the word? Precedence and things like that as well. Did I say another hand? 520 01:00:02,570 --> 01:00:08,480 Yes. Can you speak up then? 521 01:00:08,480 --> 01:00:25,340 In court is a vast, almost infinite, or probably infinite number of things found in the course or the course of history. 522 01:00:25,340 --> 01:00:32,210 And you say pulsations independent. Of course, no causation is independent of us. 523 01:00:32,210 --> 01:00:42,260 Causation is independent. But the thing we pick out as the cause when we're explaining something is dependent on us. 524 01:00:42,260 --> 01:00:47,690 Causation is independent of the causes. No, the cause is also in. 525 01:00:47,690 --> 01:00:57,260 Is it also independent of our or. There's no such thing as the cause except when you're talking about explanation. 526 01:00:57,260 --> 01:01:05,720 Because there are many, many. And again, I wish I had a flip chart because this is drawable. 527 01:01:05,720 --> 01:01:11,330 I can't even turn it round. This is very frustrating. And I don't want to rub that off because I. 528 01:01:11,330 --> 01:01:26,030 Well, actually, let me rub it off because I think I'm doing this at the end anyway, so. 529 01:01:26,030 --> 01:01:37,910 So here's the forest fire. We're calling that E now that's got a string of different events in the causal chain. 530 01:01:37,910 --> 01:01:45,550 Each of them has a string of events in the causal chain leading to it. 531 01:01:45,550 --> 01:01:51,350 And there's no reason why there are three on each, except that I'm afraid of running out of room. 532 01:01:51,350 --> 01:01:56,180 Each of those is going to be caused by a string of events. 533 01:01:56,180 --> 01:02:07,660 Now, if we take this event here, if that had not occurred, that would not have occurred. 534 01:02:07,660 --> 01:02:18,520 But that doesn't mean we can cite that as the cause of that, because the cause tends to they can't be the cause, 535 01:02:18,520 --> 01:02:25,060 because it's only the cause in the context of every other cause that's come. 536 01:02:25,060 --> 01:02:30,740 But we could say it's the cause if it explains it to us. 537 01:02:30,740 --> 01:02:39,280 It probably doesn't if it's that far back. We'll pick something here as the cause. 538 01:02:39,280 --> 01:02:49,430 Are you with me? Yes, it seems inconsistent to have the same. 539 01:02:49,430 --> 01:02:55,060 Well, okay. I mean, just when we say something is the cause, 540 01:02:55,060 --> 01:03:01,660 that's usually part of an explanation because there's no such thing in the world as a verb cause it's there. 541 01:03:01,660 --> 01:03:06,520 There are always multiple causes. I mean, there is is a definite article. 542 01:03:06,520 --> 01:03:15,340 It picks out one and only one event. And there's no event that has one and only one cause. 543 01:03:15,340 --> 01:03:20,680 So the cause only has meaning within the context of an explanation. 544 01:03:20,680 --> 01:03:25,870 And the minute you have an explanation, you have principles of invidious selection. 545 01:03:25,870 --> 01:03:31,790 In other words, it depends on what's intelligible to us. Okay. 546 01:03:31,790 --> 01:03:36,780 There's nothing inconsistent about that. I think it's fairly straightforward. 547 01:03:36,780 --> 01:03:41,920 Did I. Woman at the back. Did I see your hand up? 548 01:03:41,920 --> 01:03:45,690 No. Okay, Bob, I'm not happy with this thing. 549 01:03:45,690 --> 01:03:57,560 There's a causation explanation. I'm happy that you can say that the birth of the camera or the big bang is part of the cause of the cause. 550 01:03:57,560 --> 01:03:59,360 It's not a very important one. 551 01:03:59,360 --> 01:04:11,880 It's quite I'm not happy with the idea that the enemy planting the bomb is part of the cause in any sense at all of the of Luce's survival. 552 01:04:11,880 --> 01:04:17,470 That seems to be just. Yes. No, I. I have some sympathy with that. 553 01:04:17,470 --> 01:04:23,860 But this is the argument that we'd make for that child. 554 01:04:23,860 --> 01:04:34,120 Well, that's the argument. Hard enemy not planted the bomb. 555 01:04:34,120 --> 01:04:43,930 Billy would not have pinched out. 556 01:04:43,930 --> 01:05:01,600 Sorry, I should have put up here. Susy's survive, Billie's pinching out the fuse caused Susie's survival. 557 01:05:01,600 --> 01:05:05,950 I mean, that would accept, wouldn't you just took that. Okay. 558 01:05:05,950 --> 01:05:11,170 Would you also accept how the enemy not planted the bomb? Billy would not have pinched out the fuse. 559 01:05:11,170 --> 01:05:18,370 Yes. Well, then by the transitivity of causation, it's got to be the enemies planting the bomb. 560 01:05:18,370 --> 01:05:22,540 That is the cause of Susie's survival, as we know. That's not the case. 561 01:05:22,540 --> 01:05:25,360 Well, hang on a sec. Well, no, we don't. No, it's not the case. 562 01:05:25,360 --> 01:05:37,360 I mean, it's just what we know is that we would never cites the planting of the bomb as an explanation of Susie's survival or of the cause. 563 01:05:37,360 --> 01:05:42,380 But I would say yes. 564 01:05:42,380 --> 01:05:47,140 This is bomb planting season. No, no, no. Right. Okay. 565 01:05:47,140 --> 01:05:53,250 If C causes E and E causes. 566 01:05:53,250 --> 01:05:57,700 D does. C cause. 567 01:05:57,700 --> 01:06:06,550 D? No. Of course not. Of course, means factually counter, factually defending the conclusion. 568 01:06:06,550 --> 01:06:17,260 I would say, you see, it is so easy to use counterfactuals on it. 569 01:06:17,260 --> 01:06:22,730 It does not follow. But what do you use counterfactual dependent on. 570 01:06:22,730 --> 01:06:26,680 See. This is what I would say. Okay. 571 01:06:26,680 --> 01:06:33,250 But I'm not asking that moment. I'm asking you whether you think causation is transitive. 572 01:06:33,250 --> 01:06:40,150 I mean, is that true? If it was if by by causes woman sufficient causes. 573 01:06:40,150 --> 01:06:46,270 Probably, yes. What we do think of causation is sufficient. So a cause is sufficient for its effect. 574 01:06:46,270 --> 01:06:50,460 We do things like that. And if that's true, then that's. 575 01:06:50,460 --> 01:06:58,750 And if that's true, then how is that not true? Because that's isn't that isn't counterfactual preparedness necessarily cause. 576 01:06:58,750 --> 01:07:02,290 Well, we're not. Don't forget, we're no longer talking about counterfactual dependence. 577 01:07:02,290 --> 01:07:07,600 We're talking about chains of stepwise influence. I'm not. 578 01:07:07,600 --> 01:07:11,470 We might have to engage in this by email or something like that. 579 01:07:11,470 --> 01:07:20,290 But you're absolutely right that this has caused the lot of people to think that that must be false. 580 01:07:20,290 --> 01:07:30,700 That causation is not transitive. After all, the trouble is, it seems a little hard to deny that. 581 01:07:30,700 --> 01:07:34,900 And if you think that's hard to deny, then you think the causation is transitive. 582 01:07:34,900 --> 01:07:45,430 And if you think causation is transitive, then it's difficult to deny that you just it is Sufi's survival death because. 583 01:07:45,430 --> 01:07:49,990 Well, you can, but that is what we mean. I don't think that helps much. 584 01:07:49,990 --> 01:07:57,260 Does it just not what it seems to me. 585 01:07:57,260 --> 01:08:08,710 Certainly we apply. We will all be over most of the all of this. 586 01:08:08,710 --> 01:08:15,250 No, you. You're absolutely wrong about that because all the network comes in because it had the big bang not happened. 587 01:08:15,250 --> 01:08:22,960 The forest fire would not have happened had the camper not been born, then the forest fire would not have happened. 588 01:08:22,960 --> 01:08:27,250 So we've still got in every event. That's part of the causal chain. 589 01:08:27,250 --> 01:08:39,040 What I'm saying is as soon as you think about this specific kind of like. 590 01:08:39,040 --> 01:08:42,760 Well, that's to do with explanation, not with causation, 591 01:08:42,760 --> 01:08:51,910 because the minute we've identified the cause and we've made it intelligible to ourselves, we tend not to worry about the rest. 592 01:08:51,910 --> 01:09:00,490 Of course, we will have to if if we want to start manipulating things, if we're scientists, we want to produce an effect. 593 01:09:00,490 --> 01:09:10,630 We'll have to make sure that the whole cause is no, then not just the cause, not just the part of the cause. 594 01:09:10,630 --> 01:09:16,090 To say the cause is nonsense. There is no such thing as the cause. 595 01:09:16,090 --> 01:09:23,920 The cause is always shorthand for an explanation. I mean, that's what I was saying a minute ago. 596 01:09:23,920 --> 01:09:32,980 The cause is complete nonsense. This was never an event that is caused by only one other event. 597 01:09:32,980 --> 01:09:56,900 Can you speak up? But you see, why do you need to say no need? 598 01:09:56,900 --> 01:10:02,470 Yeah. I mean, lots of people would have sympathy with with that claim. 599 01:10:02,470 --> 01:10:07,330 One way of solving this would be to say, I can't remember exactly how it goes. 600 01:10:07,330 --> 01:10:13,810 But you can't count as the cause. Something that would not have happened had. 601 01:10:13,810 --> 01:10:18,210 Sorry, I can't remember. But but you're absolutely right that there's a sort of. 602 01:10:18,210 --> 01:10:21,700 Yeah, absolutely. And there's a name for it. 603 01:10:21,700 --> 01:10:23,000 And I can't remember what that name is. 604 01:10:23,000 --> 01:10:31,180 I'll look it up next week if you want to e-mail me and remind me and I'll put you onto a paper that will explain that. 605 01:10:31,180 --> 01:10:36,910 But Louis' distinction between causation and explanation is his response. 606 01:10:36,910 --> 01:10:39,670 You would never cite the bomb being planted, 607 01:10:39,670 --> 01:10:51,610 enemies planting the bomb in explanation of Susie's survival because there's no correlation between the planting bombs and the survival of the target. 608 01:10:51,610 --> 01:10:57,240 So that's just not on. OK. Let's just. I'm worried about the time here. 609 01:10:57,240 --> 01:11:06,910 So another objection. So we've dealt with or Lewis thinks that we've dealt with the first objections to his second TTC, 610 01:11:06,910 --> 01:11:13,210 but we won't say, well, how can the causal history of an event be constituted of interrelated events? 611 01:11:13,210 --> 01:11:18,940 So how can causation have the structure that I drew on the board a minute ago with lots of 612 01:11:18,940 --> 01:11:24,360 events being caused by lots of other events and all of them being part of a causal history. 613 01:11:24,360 --> 01:11:28,420 And when we allow omissions and absences to be causes. 614 01:11:28,420 --> 01:11:37,300 So it was the Queen's failure to water my tomato plants that led to my tomatoes, plants dying, 615 01:11:37,300 --> 01:11:42,880 or at the very least, it was my failing to water my tomato plants that caused the tomato plants dying. 616 01:11:42,880 --> 01:11:51,490 And similarly, it was Bob's failure to put on the window locks that caused the burglary, etc. 617 01:11:51,490 --> 01:12:01,060 So we allow missions to be caused as well, unless you're going to allow negative events and some philosophers do. 618 01:12:01,060 --> 01:12:07,780 In other words, Billy's failing to put on the window locks is an event in itself. 619 01:12:07,780 --> 01:12:11,740 He's not doing it. And actually, that's difficult, isn't it? 620 01:12:11,740 --> 01:12:17,950 Because how many negative events are happening right now? There's you not having breakfast for a start. 621 01:12:17,950 --> 01:12:23,210 There's you not being in the pub. There's you not et cetera, et cetera, et cetera. 622 01:12:23,210 --> 01:12:27,970 So it's so if you allow negative events again, you're exploding your ontology. 623 01:12:27,970 --> 01:12:31,510 Maybe that's all right because we've already allowed possible world. 624 01:12:31,510 --> 01:12:38,830 So there's there is a possible world. You'll be glad to hear where you are in the pub. 625 01:12:38,830 --> 01:12:48,550 So we do seem to allow omissions and absences to be causes. 626 01:12:48,550 --> 01:12:55,960 But again, if we distinguish causation and explanation, we can explain this. 627 01:12:55,960 --> 01:13:07,390 Am I going to say no? Okay. So if we want to explain the burglary, we cite the failure of whoever it was to put the window locks on. 628 01:13:07,390 --> 01:13:17,620 If we want to explain your sobriety, we say it was your failure to be in the pub at the particular moment, et cetera. 629 01:13:17,620 --> 01:13:21,100 But again, it's explanation that matters here. 630 01:13:21,100 --> 01:13:31,150 So we the only reason that we can cite absences as causes is not because there are any such things as negative events, 631 01:13:31,150 --> 01:13:35,930 but because non events, non happenings. 632 01:13:35,930 --> 01:13:45,310 Make intelligible to us certain events. And so, again, we can cite causation and explanation. 633 01:13:45,310 --> 01:13:50,760 OK. Let's have a look at the I'm going to we can talk about this in a minute, 634 01:13:50,760 --> 01:13:58,680 but I'd just like to do the final five minutes of this session and then we can go onto all the questions, get them all at once. 635 01:13:58,680 --> 01:14:08,070 Okay. So the counterfactual theory of causation was always taken as a rival to the regularity theory of causation. 636 01:14:08,070 --> 01:14:17,070 When Lewis first postulated the counterfactuals area of causation, it was explicitly as a rival to the regularity theory. 637 01:14:17,070 --> 01:14:21,570 So he looked at the problems that we looked at last week for the regularity theory, 638 01:14:21,570 --> 01:14:26,370 said it cannot be the case that there's no more to causation than regularity. 639 01:14:26,370 --> 01:14:36,360 Instead, let's think of causation as as counterfactual dependence and the variations there in. 640 01:14:36,360 --> 01:14:40,470 Certainly Lewis saw it as a rival. Interesting, though. 641 01:14:40,470 --> 01:14:49,860 Hume didn't. I mean, Hume put forward those two explanations as if, in other words, he says and then he offers the counterfactual theory. 642 01:14:49,860 --> 01:15:01,980 So he didn't see it as a rival. An interesting this person, this philosopher, Helen Beebee, doesn't think that the CTC is a rival to RTC either. 643 01:15:01,980 --> 01:15:11,490 She says that Lewis is counterfactual theories of causation rely on the mill Ramsey Lewis view of the laws of nature. 644 01:15:11,490 --> 01:15:22,320 M. Ramsey Lewis, this is this is John Stuart Mill in his system of logic, Frank Ramsey and David Lewis himself. 645 01:15:22,320 --> 01:15:25,080 They come to this theory of the laws of nature. 646 01:15:25,080 --> 01:15:33,480 And if you remember, I spoke briefly about them last week, according to the Mill Ramsey Lewis view of the laws of nature. 647 01:15:33,480 --> 01:15:44,250 There is no more to a law of nature than the explanations generated by our best deductive systems. 648 01:15:44,250 --> 01:15:49,350 In other words, by the deductive systems that best explain our universe. 649 01:15:49,350 --> 01:15:56,220 So we make observations or observations. Tell us about correlations, about constant conjunctions. 650 01:15:56,220 --> 01:16:03,510 We those are the constant conjunctions that seem to occur irrespective of context. 651 01:16:03,510 --> 01:16:16,650 So it happens in your lab in Australia just as easily as it happens in my lab in London, etc. Those are taken out as the laws of nature that the the. 652 01:16:16,650 --> 01:16:25,140 So the best deductive system is determined by strength and simplicity in that. 653 01:16:25,140 --> 01:16:32,370 What we're looking for is the correlations, the the constant conjunctions that are as informative as possible. 654 01:16:32,370 --> 01:16:41,430 They tell us as much as possible about the world. And whilst using as little apparatus as possible, we have to introduce as little as possible. 655 01:16:41,430 --> 01:16:47,340 So you might laugh at the idea of possible worlds, but actually there are people who believe and there are a lot of people who 656 01:16:47,340 --> 01:16:53,490 believe that our best deductive systems rely on the notion of possible worlds. 657 01:16:53,490 --> 01:16:58,620 So we know that even though we're trying to use a simpler theory as possible, 658 01:16:58,620 --> 01:17:04,950 we've got to introduce possible worlds or we can't explain the world that we're actually in. 659 01:17:04,950 --> 01:17:11,670 So the mill Ramsey Lewis view of the laws of nature actually says that. 660 01:17:11,670 --> 01:17:56,090 So you might think. Pen keeps me fit all this. 661 01:17:56,090 --> 01:18:01,520 OK. Three levels. This is the level of language. This is the level of thought. 662 01:18:01,520 --> 01:18:05,510 And this is the level of, let's say, the world. 663 01:18:05,510 --> 01:18:15,080 I don't like saying that because, of course, thought and language are part of the world. But, yeah, this is the non-linguistic non thought. 664 01:18:15,080 --> 01:18:18,730 You see, these are all different. 665 01:18:18,730 --> 01:18:31,670 And you might think in exactly the same way that there's the laws of nature, which are the things that we use to explain and predict events. 666 01:18:31,670 --> 01:18:42,530 We we get our rockets to land on comets and things like that because we can do the mathematics and we can cite laws of nature and so on. 667 01:18:42,530 --> 01:18:49,190 And then underpinning that, there are natural uniformity is in our laws of nature are correct. 668 01:18:49,190 --> 01:18:54,170 If they correctly describe the natural uniformity is OK. 669 01:18:54,170 --> 01:18:58,580 In the same way that when we say the cat sat on the mat. That's true. 670 01:18:58,580 --> 01:19:05,630 Or we think the cat sat on the mat. These are true if and only if the cat is on the mat. 671 01:19:05,630 --> 01:19:13,100 So in the same way, our laws of nature are true only if the natural uniformity is that govern all worlds are as they are. 672 01:19:13,100 --> 01:19:19,310 But the mill Ramsey Lewis view of the laws of nature is doing away with that. 673 01:19:19,310 --> 01:19:24,200 All there is is our explanations of the world. 674 01:19:24,200 --> 01:19:34,370 So just as with the rank regularity theory of causation, you're saying that causation is the regularities themselves, 675 01:19:34,370 --> 01:19:42,810 not the necessary connexions that underpin the regularities in exactly the same way the laws of nature are the laws of nature, 676 01:19:42,810 --> 01:19:47,150 the laws of nature, the things that come out of our best deductive systems. 677 01:19:47,150 --> 01:19:59,600 Those are the laws of nature. They're not directly describing uniformity is that govern our world independently of us. 678 01:19:59,600 --> 01:20:09,890 So you can see that actually the crucial point, according to Helen Beebee, is that the counterfactual theory of causation, 679 01:20:09,890 --> 01:20:23,380 just like the regularity theory of causation, is austere, as I called it last week, austere in that it doesn't appeal to necessary connexions. 680 01:20:23,380 --> 01:20:28,340 All there is in the world are regularities not necessary. 681 01:20:28,340 --> 01:20:33,740 Connexions not not mind. Independent natural uniformity is. 682 01:20:33,740 --> 01:20:43,160 So the CTC, just like the RTC, sees causation as nothing more than lawful regularity. 683 01:20:43,160 --> 01:20:50,810 And so it cashes out those regularities in terms of chains of counterfactual dependency or influence. 684 01:20:50,810 --> 01:20:59,630 But it is in effect, just another version of the regularity theory of causation. 685 01:20:59,630 --> 01:21:08,780 And just to run through today, because I realise that it is quite difficult to take on board, we're answering the question, as we were last week. 686 01:21:08,780 --> 01:21:15,380 What is causation? And we're saying, could it be counterfactual dependence? 687 01:21:15,380 --> 01:21:19,550 Well, no, it couldn't, because there's causation without counterfactual dependence. 688 01:21:19,550 --> 01:21:27,140 That was the early pre-emption. And so on. Could it consistent chains of counterfactual dependence? 689 01:21:27,140 --> 01:21:35,150 Well, no. Because trumping and late pre-emption showed that it can't be those either. 690 01:21:35,150 --> 01:21:42,710 Could it consist in chains of stepwise influence? And as you go back, you can remind yourself what all these things are. 691 01:21:42,710 --> 01:21:49,970 And the answer to that is yes. So long as we distinguish causation and explanation. 692 01:21:49,970 --> 01:21:58,100 So we haven't found an objection to the final theory of counterfactual theory of causation, 693 01:21:58,100 --> 01:22:04,100 so long as we make that distinction between explanation and causation. 694 01:22:04,100 --> 01:22:10,970 But we have seen reason to think that the CTC is just another version of RTC. 695 01:22:10,970 --> 01:22:17,780 In other words, we've not really added more than a bit of sophistication to what we had last week. 696 01:22:17,780 --> 01:22:23,390 And next week I'm going to look at a rival to both these series. 697 01:22:23,390 --> 01:22:29,420 So a completely different take on causation. 698 01:22:29,420 --> 01:22:38,510 And what I'm doing is bringing this more up to date, because so far, I mean, I told you the CTC is although they they are still very much in play. 699 01:22:38,510 --> 01:22:42,800 They did start in 1973. So we're still, in a way, looking at history. 700 01:22:42,800 --> 01:22:46,790 So we are going to come bit more up to date next week. 701 01:22:46,790 --> 01:22:53,480 So that's it for this week. And we've got five minutes still for questions. 702 01:22:53,480 --> 01:23:02,570 Sean? I've spent the last 30, 40 years of my life delivering outcomes from causal chains. 703 01:23:02,570 --> 01:23:06,940 In effect, I'm your little dog and you put up with a single bottle at the top of it. 704 01:23:06,940 --> 01:23:12,720 Coming down the block. Exactly. Making a plan to achieve an outcome. 705 01:23:12,720 --> 01:23:24,580 And when you talked about the picking, pinching other ball and contributes to survival, I would attack a problem. 706 01:23:24,580 --> 01:23:38,280 Sorry. I would I would approach business or technical problem by questioning whether every action, every day contributed to the object. 707 01:23:38,280 --> 01:23:52,920 And obviously, in that particular case, planting a bomb is not contributing to a guy named Susie Susie. 708 01:23:52,920 --> 01:23:59,750 I would be delivering something to Susie. 709 01:23:59,750 --> 01:24:09,450 Survive the pitching outfit. Yes, a survivor. 710 01:24:09,450 --> 01:24:20,500 And in my having a rough day is evil. 711 01:24:20,500 --> 01:24:24,820 Could be mitigated by an action reaching out to you. 712 01:24:24,820 --> 01:24:32,660 So I don't have a problem if there is a fishing boat in my causal chain, it's been introduced by a risk which is now mitigation. 713 01:24:32,660 --> 01:24:38,330 So I took it out. And you were showing me the outcome isn't going to make the difference. 714 01:24:38,330 --> 01:24:44,030 That's important here. This is the thing that might make the difference. Here is what you were talking about. 715 01:24:44,030 --> 01:24:47,840 And I wish I could remember the. There is a technical term for it, 716 01:24:47,840 --> 01:25:00,320 but if you agree that Biddy's pinching the fuse is an it's a determinate and we can allow probabilistic into term of Susie's survival. 717 01:25:00,320 --> 01:25:07,310 And if you allow that Billies pinching the fuse depended counter fatuously on enemies placed in the bomb. 718 01:25:07,310 --> 01:25:11,690 Then you have a problem. I don't believe I have. 719 01:25:11,690 --> 01:25:19,370 Well, I will. Clearly, you can see that Lewis's own solution. 720 01:25:19,370 --> 01:25:26,150 He would say that, yes, we might cite that an explanation of Susie's survival, but we would never cite. 721 01:25:26,150 --> 01:25:31,040 That's an explanation, Susie. Survival. Why can't I just say to you. 722 01:25:31,040 --> 01:25:39,310 You're looking at how to manipulate an outcome. Well, you would never place a bomb as a means of manipulating the outcome. 723 01:25:39,310 --> 01:25:42,230 Susie's survival. Course she wouldn't. 724 01:25:42,230 --> 01:25:55,380 But in a context where you have Susie a bit too near a bomb, then Binnie's pinching out the fuse is a necessary condition of her survival. 725 01:25:55,380 --> 01:25:59,500 But that is because I have as a longer term desire. 726 01:25:59,500 --> 01:26:03,740 So, you know, I know that Susie will. 727 01:26:03,740 --> 01:26:11,440 I want her to survive. Hmm. If I don't know that there is such thing as a Susie and such a thing as hers. 728 01:26:11,440 --> 01:26:17,600 You know, perhaps it's a different thing. But I have a temporal overlay in this causal chain. 729 01:26:17,600 --> 01:26:21,920 You mentioned time. There's there's a flow of time. And this is something leads to something. 730 01:26:21,920 --> 01:26:25,310 Leads to something. There is a temporal flow. 731 01:26:25,310 --> 01:26:33,400 Now, interestingly enough, there are things, full anticipation functions in mathematics by atom bomb detector, which I can explain mathematically. 732 01:26:33,400 --> 01:26:38,270 I can anticipate in time something that will happen. 733 01:26:38,270 --> 01:26:44,480 So there's a you can play around it. Of course, I don't mean that common sense at all. 734 01:26:44,480 --> 01:26:48,770 But I don't have a problem with saying that there is a causal chain. 735 01:26:48,770 --> 01:26:52,250 If I do want to put it in a logical sense. 736 01:26:52,250 --> 01:27:00,770 But if there is a enemies placing a bomb, then I want to do something about it to mature and show survival. 737 01:27:00,770 --> 01:27:07,110 If there's no bomb. But you would never cite that in explanation of no. 738 01:27:07,110 --> 01:27:13,790 And you might say you wouldn't say that it is a cause of Susie's survival despite transitivity. 739 01:27:13,790 --> 01:27:19,650 But you would have to either say that causation itself isn't transitive. 740 01:27:19,650 --> 01:27:24,440 And they're all philosophers who insist on that because of problems like this. 741 01:27:24,440 --> 01:27:29,570 Two things. All you've got to find another way of saying that. 742 01:27:29,570 --> 01:27:38,060 OK, if Biddy's pinching the fuse cause Susie's survival and the enemy's placing the bomb cause Billy to pinch the fuse, then unfortunately, 743 01:27:38,060 --> 01:27:46,850 if causation is transitive, you've got to say that enemy's placing the bomb caused the disease the survival and not a cancer. 744 01:27:46,850 --> 01:27:51,490 Well, that that's the point you're making. There is an argument to that. 745 01:27:51,490 --> 01:27:54,680 You can say that we can't call that a cause. 746 01:27:54,680 --> 01:28:03,140 Because it was only because of it's only because of that that that causes that and these cancel each other out. 747 01:28:03,140 --> 01:28:12,230 I will for next week look up what what that is. Cause I can't remember for now because doesn't this get around to the idea that humans have to have. 748 01:28:12,230 --> 01:28:19,280 Oh, hang on. It's just coming into my mind and it's gone again. 749 01:28:19,280 --> 01:28:23,740 So I just say it just say flitted, you know, just so gone. 750 01:28:23,740 --> 01:28:32,300 OK. I think I still have it now. The problem is that we humans have to have explanations for things. 751 01:28:32,300 --> 01:28:37,120 And it all sounds fine that when you want to help Susie survive because the genes found. 752 01:28:37,120 --> 01:28:42,950 But when it gets into other areas where grandiosity of humans wants to manipulate, 753 01:28:42,950 --> 01:28:50,120 even even unconsciously, to make themselves feel good and explain something and bring logic to something. 754 01:28:50,120 --> 01:28:56,210 So without you know, in due respect to his explanation, 755 01:28:56,210 --> 01:29:03,140 this is why I'm beginning to see the merit of understanding that cause happens without any explanation. 756 01:29:03,140 --> 01:29:10,610 The course is completely independent of not the cause. Sorry, causation exists independently of us. 757 01:29:10,610 --> 01:29:13,670 I mean, not this obviously is something in place, a bloody bomb. 758 01:29:13,670 --> 01:29:19,640 It doesn't happen independently of us, but causation exists in the world independently of us. 759 01:29:19,640 --> 01:29:23,120 Explanation is something we do right. 760 01:29:23,120 --> 01:29:31,490 And in doing it, we cite cause it causes and because ah interesting causation is really only explanation. 761 01:29:31,490 --> 01:29:36,920 What we're interested in is those causes that make intelligible their effects. 762 01:29:36,920 --> 01:29:42,920 And there are lots of other causes of the effects that we want to explain, but we're not interested in them. 763 01:29:42,920 --> 01:29:48,410 If they don't make them intelligible when we're not interested in getting out of your sedergreen happiness, 764 01:29:48,410 --> 01:29:54,140 to think that explanations is led us to the worst for us. 765 01:29:54,140 --> 01:29:59,780 How much explanation has been good as opposed to how much? 766 01:29:59,780 --> 01:30:05,480 Well, I mean, Vic Einstein said explanations must come to an end. 767 01:30:05,480 --> 01:30:14,120 But that was in a different context, gone. I was just thinking about what you say about it. 768 01:30:14,120 --> 01:30:22,220 No, I didn't say anything about universes with nobody in them would be causation. 769 01:30:22,220 --> 01:30:30,460 Oh, yes. I'm sorry. Yes, I did. Even if there were no human beings, there would still be causation contests where there would still be. 770 01:30:30,460 --> 01:30:38,600 And there wouldn't be any action. But there would be causation. Causation is because we are to create these things. 771 01:30:38,600 --> 01:30:44,750 One session of time. No. This position of time just got events. 772 01:30:44,750 --> 01:30:51,320 Why do you call witnesses or no direction? 773 01:30:51,320 --> 01:30:58,340 Well, if there was a cosmic occurrence that were to wipe out all human beings. 774 01:30:58,340 --> 01:31:07,640 Now, does that mean that, for example, the London I would stop turning if it is turning over? 775 01:31:07,640 --> 01:31:13,490 No, I'm just saying it isn't isn't causation is the human concept. No explanation is. 776 01:31:13,490 --> 01:31:14,750 But causation. I do. 777 01:31:14,750 --> 01:31:25,130 Well, causation is clearly a human concept in that it wouldn't be the process of causation wouldn't have a name if we hadn't given it one, 778 01:31:25,130 --> 01:31:34,220 but it would still exist. But isn't it just a way of seeing the world which is based on the fact that we live temporal movement, 779 01:31:34,220 --> 01:31:38,390 we see things is progressing through time and changing. 780 01:31:38,390 --> 01:31:46,130 Whereas if you have no individuals witnessing the changing things through time, then nothing would be changing. 781 01:31:46,130 --> 01:31:55,460 Everything will just be as it is. We would have no thing leading to something else because this time you're actually witnessing. 782 01:31:55,460 --> 01:32:00,760 Well, the question of whether time is real is a very big philosophical question. 783 01:32:00,760 --> 01:32:10,250 And we might think the time isn't real. And if time isn't real, then then there can't be temporal successions that are causation. 784 01:32:10,250 --> 01:32:18,020 But I do think that's a different question. And I completely accept that without human beings, there'd be no explanation. 785 01:32:18,020 --> 01:32:24,950 But I don't think I accept that without humans, there'd been a I mean, the big bang caused the universe. 786 01:32:24,950 --> 01:32:32,420 There were no humans around at the time. It's true that we couldn't know that the Big Bang caused the universe. 787 01:32:32,420 --> 01:32:35,540 Were it not for various theories and so on. 788 01:32:35,540 --> 01:32:39,200 But but I think that it existed without us. 789 01:32:39,200 --> 01:32:44,000 Seems to me to be. But then I'm an invert. 790 01:32:44,000 --> 01:32:51,960 This idea of causation is something that's very imposed on the universe. 791 01:32:51,960 --> 01:33:03,740 Okay. I just want. We accept the statement that explanation is always going to be, yes, they probably can, 792 01:33:03,740 --> 01:33:07,580 because there can be legal explanations and there could be other types of explanation. 793 01:33:07,580 --> 01:33:17,750 But Ann Lewis would actually say that all explanation is causal because even legal explanations will cite causes. 794 01:33:17,750 --> 01:33:23,150 So it's your intention to kill that made it murder. 795 01:33:23,150 --> 01:33:30,470 So it is the fact that you caused the death of somebody and intended to cause that death that makes it murder, etc. 796 01:33:30,470 --> 01:33:38,330 So Lewis would definitely say there are no explanations that are not causal or that are not. 797 01:33:38,330 --> 01:33:48,770 Such that we cite a cause in them. Well, if you look at sort of like visual perception, it's similar to white and it can be something like analogy. 798 01:33:48,770 --> 01:33:57,200 It could be a way of thinking that is not based on explanations would be something else outside of causality. 799 01:33:57,200 --> 01:34:00,870 Okay. I mean, it certainly does look as if there could be. 800 01:34:00,870 --> 01:34:05,720 But Lewis would say no, there are no explanations that are not causal. 801 01:34:05,720 --> 01:34:13,270 And one more question then. I think we'd better finish the problem with the speaker between the explanation and causation. 802 01:34:13,270 --> 01:34:17,450 I mean, I decide to throw a brick and break a window. 803 01:34:17,450 --> 01:34:22,990 Then that's an explanation why we never wrote me in the sidebar. 804 01:34:22,990 --> 01:34:26,090 Doesn't that have to be a break in the chain of causation? 805 01:34:26,090 --> 01:34:32,780 Because otherwise, I mean, my decision is simply a result of other causes, and I'm not really there at all. 806 01:34:32,780 --> 01:34:37,880 Well, actually, I mean, that that is exactly exactly the problem of free will. 807 01:34:37,880 --> 01:34:44,060 I mean, if if your decision is not itself a caused event, 808 01:34:44,060 --> 01:34:52,280 then it's it's not true that we can go back in the day and find events that cause other events, etc. 809 01:34:52,280 --> 01:35:00,110 But but I mean, the question of whether reasons are causes is something that I'll look at at some length. 810 01:35:00,110 --> 01:35:05,540 It could be a decision during Wunderbar. It would actually have to be on course. 811 01:35:05,540 --> 01:35:10,250 Well, not. No, no, no. There are lots of philosophers who think that decisions are caused as well. 812 01:35:10,250 --> 01:35:17,890 They're just part of the causal chain. But you're right. There are other philosophers who think that if it's caused, it's not a decision at all. 813 01:35:17,890 --> 01:35:23,090 Yeah. Okay, let's finish there and we'll start again next week. 814 01:35:23,090 --> 01:35:26,610 Looking at the rival theory. So a completely different type of thing. 815 01:35:26,610 --> 01:35:30,960 Or at least we'll look at the argument for the existence of a rival theory. 816 01:35:30,960 --> 01:35:38,881 Then the following week, we'll look at the rival theory.