Discussions, incl. FW Lawvere, C McLarty, JL Bell, others

0:00 Thank you. I haven't had a chance to look at that yet. Yes, she's thrilled. If only, if only Fatima could, you know, well, that's what I need, somebody here. What kind of dedication. Has anything more come through from the biopsy itself other than what you've said? You said there was a lot of misinformation about others as well. Thank you very much for your time, and I hope you have a good rest of your day. I'm sure we have to re-time here, aren't we? No, no, no. No, well, if you want to send it here, we can call with that card now, don't we? Well, I mean, well... What was the, uh, um, sorry, how was it? You looked at something that's, um, actually back to that, you know, back to that, you know, properties due to math problems. Oh, I... If there were any other philosophies, it might work out to be opinions on Kant. And it's not clear how deep they are, it's not clear how important they are, it's not clear how serious they might be. So I thought, you know, I'm going to use some notes, I think I'm going to use some notes. I don't know if I'm talking about philosophy or anything like that. When Watson talks about Engel, he knew it was Bradley. You know, and there's no reason that when Kant talks, when Hilbert talks about that. But given the intellectual formation of German scholars of Hilbert's generation, I would expect that he would have.

2:30 Well, we must have heard from Ericsson. Yeah, from Ericsson. But we need to tell him. Look, it's more likely that, I mean, by saying that, I mean, it's more likely that in the next generation, we need to talk through direct reflection on the reading count, not cross-operatively, the way that he had it done. But it's count lectures. I don't think, actually, did they, did they go to that particular, go to the philosophy courses or maybe, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know, I don't know. It's interesting that the side of Connes, for that matter, and that of Graham, was interesting for Connes, because it occurred to me that Bertrand Russell, who did the same research on Connes, was the first one to stand out from the rest of the class. And because of Russell, that's the first one to stand out from the rest of the class. If you do know Ratchett, that would be a special moment. I'm sorry, but that was a good one. The concept, geometry, and so on. And this is not interesting. I mean it's a very, very shallow talk. I feel ashamed that it happens to be the one for which you have picked up. But on the other hand, it is instructive about the love-joy connection. I picked that book out many, many, many years ago, and it's a second-hand book, so I don't know what kind of a book it might be of interest, but after a few books, it's a good book, which I'd also like to try to put together.

5:00 In this hall, you don't have a call, do you? I'll eat then. Speakers include mathematicians, physicists, mathematicians, mathematicians, mathematicians, mathematicians, mathematicians, mathematicians, mathematicians, mathematicians, mathematicians, mathematicians, mathematicians, Thank you very much. Just making sure they stay on message whilst you've got the guns. But there was a huge, as much, which Bill talks up on, it's an interesting one, which was that the campaign, the propaganda campaign for American entry into the war, beforehand, and, you know, for support for the war. Once Wilson had come up with the Declaration of Congress, it was, as far as I know, the first massive public propaganda campaign in the United States, which was coordinated by the federal government, which was a subject that really well-thought-out program, and where, you know, in public intellectuals' work, at least, the power of, you know, the Office of the Federal Government was set up. What Goebbels makes it called, you know, sort of enlightenment. Well, I have the impression pretty effective in pretty effective, because once the United States was in the war, to the best of my knowledge, there was very little in the way of effective dissent. I mean, you know, the Midwestern, the bloc of senators who have voted against it, certainly didn't, they all rallied behind the flag pretty solidly once America was in the war.

7:30 I mean, had it gone on longer than that, you know, mass commitment of American troops lasted longer, but, you know, the mass casualties really started coming, impacted them, things might have gone very differently than they did then. And it wasn't until the summer of 1918 that the American army ended the attack with large numbers. It's really only about four or five months, during which time it was obvious that they were going to be on the winning side. They've been taking the sort of mass casualties that the British and French were taking in 1916-17 and yield to quite a very different inline. I think a lot of the, especially in over the senators from the midwestern states, were just scared into... Because after all... The Democrats were more pro-war than the Republicans. Oh, no, sorry, I think it was Roosevelt who had the same. The Roosevelt Democrats were much more pro-war than Wilson and the administration. On the other hand, I'd like to understand what happened on... No, thank you, that's very interesting. There must have been the elections for the House in 1980, as it's always been said, isn't it? I don't know anything about those, I don't know where they went. Well... You know, they lost the White House in 1920 to the public, but that seems to be largely on the depression of the natural consequences of the Western economy of rapid mobilization. Yeah, I'd like to talk to somebody who knows more about that. But Roosevelt, I mean Roosevelt's big slogan, I tell you, his big slogan at the time is there can be no hyphenator of animals.

10:00 And now what's the other famous one? You know, there are 20 million German-Americans, Mr. Roosevelt, or 20 million lapels, hang on. I think that was the kind of temper of the more conventional split, the more imperial split. You know, they were worried about the key. Sure. Sure. I mean, unless it was just purely technical, they thought it was more money or something. Thank you for your attention. There are also a number of different types of mathematics, such as quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, quantum mechanics, And the fact that they were already at war must have made it incredibly easier to use it. I don't want to talk about that. Oh, you're talking about mathematics. You're talking about what's happening. So this is under, um, Owens, the guy who was Carding's attorney general. This was under Harding, I can't remember. And you know, I've always preferred to Palmer. Palmer, yeah. Yeah, but I mean, Palmer was the 10th general. Yeah, but whose 10th general was it? Well, if it was after 1920, it must have been Palmer. Yeah, it was 1922. Yeah, but Palmer, of course, is... Of course, Wilson also had an extremely repressive general, who used the walkway to lock up a lobby. You can't lock up a walkway. Well, they had Pinkerton's agency, which did a pretty good job of being a secret police force during the Civil War, and their leader, the Arkham, and in smashing the, you know, paper organizations and betraying them. All of these terms are used to intimidate, or blackmail, or even murder their leaders, or to ruin them, or to disrupt the life of their country.

12:30 So, he needs to write a book. Good. His work, I think, is very well organized, very resourceful. The only thing is that there's a lot of interest by the Irish public inside these books. In fact, there's a great deal of evidence that Schencky was himself playing both sides of the screen. He was receiving money from the British government because he was in fact a British agent, not out of any kind of conscious ideological commitment to the British imperial court, just because they paid him a lot of money in the secret bank. Thank you for your attention. I'm sure Carlton was very comfortable speaking to this prophet about some kind of eventual reunion. He didn't speak about much in class, but in his correspondence after he died, he had a lot of this stuff. For instance, he actually refers to a show that would not have been on the tunnel. And you just need to look at racist rhetoric. He used it in terms of racial classification in the early 19th century. At this point, he soon refers to regularity. ...to America as part of the British race. He actually writes a letter to Lincoln before the outbreak of the war, saying, Are we really going to regret the break we had before, which could kill a million people? A strong report of this for an American news and news page. It's not saying to the public, but the letter is, well done. The general phrasing gives the date of everything where can be found in the article. Very interesting. This is the guy who passed Pinkerton, although that may be just who hires Pinkerton, who puts Pinkerton in charge of the counter-intelligence effort against Confederate agents on the Capitol.

15:00 Yes, I'm coming back. Because Key himself at one point looked like he would be the candidate, right? That's right, yes. Hmm. Hmm. I wonder if they'll slip across the border. All of these. It's been a good party. Palestine, he was the one who actually proposed the state of Israel. And so on and so forth. There you have it. No, there does need to be a really good study of those late 19th century religious accounts that all connect back to Ali Huzi's notion about Tibet and Buddhism and the higher wisdom, and that obviously do play a role, I haven't figured out what it is, but clearly they do play a role in this grand project background throughout that period, ruling, which consists of, I mean, there's a lot of planned marriages between the American, you've developed the American scene, and it's all...

17:30 It wasn't just that that was the play of the month, but this whole thing was being very, very hard on both sides, with my part of the people, in order to create a new regulatory aspect, a new elite, a new rule, a new 19th century. It's very interesting to look at people like Cecil Rhodes. I mean, Rhodes certainly had this grand plan for painting the map of Africa red, but that was only going to be the beginning, and it was spilling up the whole of Australia. He even had mad schemes for digging a canal from the ocean of Australia to flood the huge air rigs in the interior so that they could fill up the place with a much larger population, which was a big problem with Australia because they were far from the coast, which was not very popular on the scale of the United States, although he wanted there to be a 200 million population in Australia, so again the British race was just multiplying numbers. The capstone of it all, the final stage of the project, was of course a reunion with the United States. At one point he concentrated some kind of war of reconquest, and then when it became clear that that was insane, then you do it all by the back door through some... You do it all through the back door by... ...creating some kind of new aristocratic elite for marriage who had such a common interest in networking and working together that when the moment came they could just painlessly bring this thing into existence without the people noticing it had been done. Churchill was very serious about that agenda and most to the end of his day he really did believe in some form of political agreement.

20:00 It's more effective for being more informed without any kind of formal constitutional mechanism, yes. Of course, the big difference also between these players is that at that point in the 19th century, it still looked much more like a partnership of roughly equal partners, whereas after 1940 it was, well, even before that, inside they... I mean, they might be something rather more significant than just the 51st state, but they were not going to be any sense of equal. On the other hand, there are stockists who are very good at manipulating coins. They're very good at it, to exercise influence, they always have been. This is a vivid image of U.V.I. I have more and more of a U.V.I. I mean, in the battle of the Dolphins, at this point, the Japanese couldn't bring their shipments across the Patagon. The Americans were bringing their ships from shipyards. Well... John Merriman, the fleet that sat there in Tokyo Bay when the government took the surrender in 1945, the largest fleet ever assembled in the history of the world, and at that point the United States had either constructed or had on the shipyard, on the slip yard, a hundred and fifty fleet carriers, and they'd have a completely more power than Stoke, because they had been building on the program that had been predicated on the assumption that they might actually have to do this in Europe as well. All of these terms have actually completed the conquest of Western Europe and they would have had to do an invasion on the kind of scale that we would be looking at 100 different characters. The South didn't have to do it. The South had not to do it. They were going to do that. You're talking about February 1965. I'm talking about the 90s. McClellan came within a hair's breadth if Atlanta had not fallen when it did.

22:30 If Atlanta had not fallen when it did. McClellan would have carried the democratic platform onto a negotiated peace and would have won the election. Lincoln had all but given up hope by September 1864. They only had to survive, they only had to impose, they only had to shift the will of the federal government and of northern opinion sufficiently. At a point when in the wilderness of Spotsylvania, every home in the Union... I think domestic opinion, I look very carefully at the history and the state, you have to remember the, I remember there was some edge of domestic opinion against Vietnam and it didn't matter for years. How was the big difference between the war in Vietnam where they lost 60,000 men over the space of five years and a war on the other side of the earth and a war where they lost the equivalent of? Equivalent in terms of population to what France lost in the First World War, at a time when opinion in the North itself was that divided, would they continue the war on the issue of... Would they continue the war because they could? Because they had the money? Yeah. They had the resources, they had the material base, but the geography was a challenge. Nobody had ever attempted the conquest of such a huge area as the Confederacy, unless you count Napoleon in Russia in 1812. And, yeah, sure, they were having to operate on divergent axes from 1500 miles apart on the main battlefields. They had the manpower, but the losses were frightful, and it was... A rule where... People could buy themselves out of the draft if they had enough money. It was hugely unpopular. The anti-conscription riots in New York killed perhaps a thousand people. New York had to be put under martial law. It came close enough to McClellan. I think McClellan would have won in November 1864 if Atlanta hadn't called him when it did. And if he had, there would have been a Gertrude Peace and the Confederacy would have survived in some form.

25:00 I mean, I know that's a counterfactual, but the idea that the downfall of the South was completely determined just because of the balance of productive forces, I think is just too simple minded. It looks like that in retrospect, in the same place, and of course in the case of the Japanese and the Pacific War, it was determined. Because there, you know, the ratio was 10 to 1 in productive resources. Probably was something like that in 1861 as well, but it took a very long time for the United States to mobilize those resources effectively. The fact that they had the generalship didn't in the end make the difference, but it certainly imposed a much, much higher cost. The problem was all the staff had to do was to sit there and defend itself. Twice it came very close, in 1861 it came very close to getting French and British recognition. That would have torn open the blockade and that would have possibly meant a war between the United States and the United Kingdom. I don't know which picture of I have used in some forum. No, that's a much, that's quite separate. I think probably not very long. I think it might have survived in some separate form for 20 years. I agree there would eventually have been a single... Oh, the productive forces would have won in the end. Yes, for a hundred years. That's true, that's true. I take your point. I absolutely take the point. I don't think there's any sense at all in the sense that that kind of society with that kind of relations of production based on the slave economy could possibly survive. And of course that was the big point which the reconcilers, which the peace party, the people who were trying to save the nation from the Civil War in 1860 were repeatedly making. Don't force this issue. Slavery is going to die. It's just going to fade away. Gradually, and particularly the time that the war broke out in the border states, over which motion of the break came, the issue of trying to force slavery onto, was it Maryland? I forget which was the state, but finally was the breaking point. The debates were mostly over Western states, but Maryland as well, but the Western states. Maryland certainly had slavery. Yes, it would have done. Well, I forget which... People shot each other over camp.

27:30 They certainly did. They shot each other, but there was something like 800 slaves in camp. I mean, of course they should have been free, but all the same, it was difficult to dissuade copperheads and probably the main bulk of that Democratic... There were negotiations several times during the war, even in January of 1865, at which point the South was basically ready to give in everything except, I'm trying to remember exactly what terms they were still holding out for, that Lincoln was, by that stage, out of the federal government. And so on and so forth. This is something that did a really nice job on. We're told there were no flavor bolts in the South. But when you look at Southern newspapers, there are all these articles. A disturbance took place at the Johnson Plantation of a nature we will not discuss. Yeah, sure. Sure there were. Well, yeah. No, I think we're actually in more or less agreement. I just think that on the... It's just an argument about the time scale. I think the South could have survived if contingencies had gone the other way between 1860 and 1865. There would have been a negotiated peace in which some Confederacy would have survived in some form. I think the relations between the productive forces would have been more reasserted themselves and you can't put a time scale on it. But I would have been amazed if there had still been an entirely different sense in America and India. 1890s to 1900s, that's when you could mix up the years, there probably would have been some form of a conversation. Well, in the last 20 years or so, there was extensive negotiation, and a lot of people who were in the Confederate States of America were pretty happy, because Reconstruction was dead, and not only dead, but painted into the American history books as unreal.

30:00 All those wicked, wicked carpetbaggers, you know, like, just look at Gone with the Wind, the carpetbaggers arrived, and the carpetbaggers, you know, and all those clean, fine, upstanding southern gentlemen who had always treated the, always treated the Pikmini so kindly, so well, and they all loved them on the planet, they'd been deprived, they were destitute, you know, wandering the streets, and all these nasty carpetbaggers were running the place, and actually took all the money. Oh yes, they were out for all the money the three slaves were making, and they were actually registering, actually registering, registering the whole people. No, I agree, it's amazing, because even I in the 1950s grew up with that. A picture of reconstruction. This was a terrible, dark episode of American history, but fortunately, somehow, we didn't quite understand enough about American history to understand what had happened, but it had all righted itself, and the right people, much similar to people who knew how to follow mathematics, but they kind of emerged on top in the end. Well, that's the leaders watching the movies all the time. Watching these seminars, that's what I'm thinking. Or rather, the sixth grade level. The aristocrats. Yeah, yeah, yeah. They have what stood out in their context as part of education. They could actually read without their lips really, without having to trouble the figure. They could recite a line a week because they memorized their line. And interesting that they regarded that as the criterion in effect. I don't think he was hosted. He got 40 years. He was a student. Dixon. At the time, he was a student. He was all primed with character. He was a student.

32:30 Did you ever get onto the Duskin memoir? Oh, you did? You dealt with that? Oh, great, great. Okay, that's another one off the list then. Absolutely, and you explained all that and what it involves in the way that it's encoded. Okay, that's another one off the list. In that case, there's only about four things still to tie up at the loose ends, and then we can kind of pan back and perhaps go to a much more broad philosophical discussion of some of the themes that John suggested, but also naturally connect with more detailed topics that we have discussed, and I think that will work very well. This evening and tomorrow morning. Oh, on the mechanics of getting everybody out here, the car's renewed until 11.30 tomorrow morning. It must be back by 11.30. Your hotel and Bill's is confirmed, but they didn't have the booking. I was right. That octopus thing we did last night didn't work, and unfortunately the hotel, we don't have any more rooms you can book to octopus, so you can only book directly, so of course the rate's higher. It's 82 euros now instead of 82 dollars. Sorry. We could try looking for another hotel at the airport, but I don't think it's going to be anything much cheaper. I mean, if you wanted to save a bit of dot, would you, I mean, how would you feel about sharing a room, one, I don't know, no, you prefer, prefer a bit, no, okay, well, they, as it happens, they're both twin-bedded rooms anyway, okay, well, I'll confirm them on my credit card anyway, and John and Mimi are booked into the hotel near the Garden Hall that I had told them about, and that's, that's confirmed, and I'm going to stay there as well, you know, with me tomorrow night. And, yeah, as I said, the car's re-booked until tomorrow at 11.30. And the buses go, well, since we've got to return the car at 11.30, we might as well get a slightly earlier bus and perhaps have lunch in Rome before getting on the train. We've got no other way of getting there, I fear. I haven't heard the answer to that. Ah, sorry. The car goes on. It's a trouble since I don't drive. We have to return the car by tomorrow at 11.30. Yeah, yeah. Finally take the bus to Canada.

35:00 And then take the train to Paris. Exactly, yeah. The trains to Paris go every hour, and they go five minutes past. It takes two hours and five minutes. I guess we'll have to take our bags to the bus station. We'll use the car while we've still got it to take all the bags. Yeah, it's okay. It'll be like the British evacuation of Gallipoli. It'll be perfectly organized. On the contrary, they evacuated Gallipoli without losing a single van. Evacuation proceeded without the loss of a single man. No, they were expected to lose about 50,000. Oh yeah, they lost about 100,000. No, no, absolutely. But when they decided to cut their losses and quit... No, no. Probably I have to book a room in Paris. But first of all I want to wait because... But I need to sort out your... I don't know if I will return to Israel on Saturday night or Sunday morning. Well, why don't we just provisionally book it for two nights, and if you only need one, you just cancel it. Okay, and another thing is if I do it in the holiday year... I may get a good rate, so possibly I... Well, I've got this little hotel in Legarda, which is only, if you want a room without a shower, is only 38... No, I don't. Okay, well, even with a shower, it's only about 45 euros. No, this is the kind of thing that I can get paid by the university. Oh, okay. In that case, go ahead and, you know... Well, Holiday Inn Place de la Republique is the best one in the center of Paris, they have a Holiday Inn Place de la Republique. There is a good one that I know, I forgot the name of the street, where the Fnac on the Rue de Rennes. Oh, I know that very well. That's actually very near to where the train comes in. In fact, the Fnac on the Rue de Rennes is where I get all the recording equipment that we've been using for the last... The buses from here run every hour, but I have to check. In fact, it's in the... I just have to run. I just have to run upstairs and get there. Well, I'm assuming there's a lot of countries where the main nationally common methods are. Well, you're talking about them, doesn't it? Yeah, yeah, yeah, yeah, yeah, yeah. Yeah, yeah. Yeah. Yeah. Yeah. Yeah.

37:30 Yeah. Yeah. Yeah. Yeah. Yeah. Yeah. There's always the canonical math. Incredibly, you know, because until 1996, there were zero brain workers in the standard of physics. There were plenty of people who just arrived. No, no, that's not what I mean. That's what was done by Palestinians. They don't have any other sorts of people. But in 1996, it was always true. Oh, in that way, yes. Yes, I was going to say, which was... Okay, I'm not... I was going to say, that appears to restore the principle completely, that's the point you made, yes, yes, okay. Okay, no, I haven't understood the dialectical phrase. Oh, very good, very good. Namely, you know, after every object, you have a global exponential, you make it to the power, you make it to the power. Every time there were coming new people in, we reached at some point people say 300, 300, 300. No one knows. And then there was a decline. Probably, wait a minute. Sorry, Colin. It's okay. Oh, actually, wait a minute. I've got my... Do better, man. Give you up. Give you up. This is a subject of a mathematical math like this, right? What is it doing? It's assigning to every figure in X some shape A. It's a very complicated problem and it also meets the question of the law of the law of the law of the law of the law of the law of the law of the law of the law of the law of the law of the law of the law And just the new meaning. You need property. You need mathematics. Be careful. These kids were born... Of course, in the case where the figures are specialised in points, reduced to points, you've got, it's going to be satisfied automatically.

40:00 There's just so many objects who make it, see, so that it turns out that if there's a truth value object in our world, there's a truth value object in our world. This is the way in which you enter into society. Through the army, this is your entry into society. So, the point is that, you know, in the radio you have all these things. So, for example, there is a lot of Filipino companies that, you know, they come to work with older people. And then, you know, a story of two seasons. One was born, and the other was born. It says exactly that x1 and x2 are indiscernible, because the p's are the mechanisms we have available to us to discern. Yes, sure, sure, I understand that. So, well, the language could just be the predicates. What do you think of it as a formal language? Well, a formal language could present precisely something like that. Okay, so the Leibniz's rule is that this implies exponential expansion, which is, you know, the statement of this graph is a monomorphism, right? This is just what you get by applying this map to each of these, actually. So if they become equal after supposing this, they're already equal. That's the definition of monomorphism. So that's why Mr. Zulin won, because he was a great minister who became enormously famous by bringing in, by the mere fact of bringing in, a lot of thousands or a thousand of people. You can choose another set of objects, and you can measure it with arbitrary figures, measuring with respect to arbitrary properties of value in that other object, which in the case, I think, of this predicate is in language, so to speak, the law, the... No, but the point is that's exactly how you always talk about it. It's an awesome thing.

42:30 I'm thinking pedagogy, please. It's the practice. It's the practice. This is the point, really in the context where... Yeah, I really, I like the project of Europe. Now, I suspect it's being directed by more finance types than I wish it was, but I like the project. If nothing else, because it gives me hope that the U.S. won't be the only country that matters, you know. I mean, these are just camps that literally are maxed out. Never mind how they might be parametrized. Except... The one thing we've done to help is burn billions of dollars in Iraq. This is a geometric morphism of topology. Therefore, there's the left adjoint in the points. I used to watch the Euro and see how things went. I don't even look anymore. This is a Cantorian idea, right? Yeah. On the other hand, any species of pure physics can be considered as an extreme case of a cohesive process. Yes, right, as you explained, as I said. What this notation means, more precisely, you first have to consider it. Put it into the same world as X, and it can form the original condition.

45:00 Thank you for watching. It's like when you have variable quantities in mathematics, you usually use the same name among all the functions of the continent. Well, it makes a real different problem because there's no major problem of regional representation. This is the major problem here, the main problem. Because then you don't have to worry about additional... Thank you for your attention. Now that's right, you know, we're just using, let's be part of the first function of physics. Right, right. Right, that's the point I was making. Because of the nature of the injunction, any object P is a true moment. Yeah, that's right. It just contains purely the points of P, and the other interesting figures of P don't factor through, they don't belong to this part, okay? So you have that, and so therefore, therefore you can restrict along that, so restriction along that sort of path.

47:30 I'm sorry, but there were occasions when it was something on the other end of things, on all the sociological and legal things. In other words, if you talked about those formulas, then of course, these facts could be trivial as well. All right. And in relation to the identity of undiscernible, that's... Well, I'm getting to that. If you have two distributions of various Jewish interpretations and so on, interpret it as possible as having some tame prohibition, I don't think it is what we want it to be. So there is a natural transformation here also. In terms of Holocaust denial, there is no reason for this. But there was a general... This is restoring some information, probably. The fact that this one is always a monomorphism might be destroyed, but this one might not be a monomorphism, because this is a degrading process, and so the degraded version of this discerning might not be discerning anymore, so it might no longer be both. Which, mind you, might not have predicates in your mind that would allow you to discern. Well, no. I mean, you still have the same predicates. Where predicate means you have an actual map from X to omega, you see. But the function space from omega to the X contains more than just individual predicates. It contains parametrized families of predicates according to other, you know, figures of various shapes and space parameters of predicates. So you're degrading this ability to discern, which might possibly perpetuate the fact that you can discern. So sometimes it does and sometimes it doesn't. Give them a little bit of money to see what they will do. Very often, for these growtopics...

50:00 I've got friends in the U.S. who will argue that efforts to study more thoroughly who was killed... Sorry, do the growth purposes still distinguish? This still distinguishes. Yes, it still acts, doesn't it? The problem wasn't all out of this. The problem wasn't all out of this. The problem wasn't all out of this. The problem wasn't all out of this. The problem wasn't all out of this. Right. Yeah. These are all people of very different angles. It's true for all graphic terms. There's R and 3, I have a lot of them. The hierarchical structure of the internet and all that. Which I recently found out is not so bizarre because it's almost identical in components. All the big guys take it very seriously. Well, I would love to understand that. He did mention that, but I had no idea there was a connection with... I had no idea that there was a connection with... ...and therefore obviously has implications... Thank you for your attention. In fact, X, Omega, and Omega's powers are quite totally cohesive with the exponent, and you can ignore that on this point, but it's not a component of life that fails in their many examples. I think you should give this exposition again when we get back, because this is really so, well, this is very, very central to the, and if we're going to have, if we're going to get anything serious out of talking about these very general positions of John, then this is the kind of thing we need to discuss. Absolutely. I'm really sorry, I didn't bring my recorder, actually, this would have been very disappointing.

52:30 But I think I've got, if I can keep this, I think I've got, I think I can reconstruct this. In fact, to test my understanding, I will actually send you a version of this to make sure I have understood the key points. Thank you for watching. Well, I've often heard Alberto in his exposition on this subject of choice and extension. I like him top of the story. He's one of the ones I wanted to get around to talking to you about. Well, I've dug out the paper, so I'll show you when we get back, but this condition, for one, in general, is, of course, a different condition in the kind of internal setting than in the case when it's the subtopics of something developing. I mean the idea that... When that works, or in general, the question that it poses, is just what I was saying. In other words, if you have two maps, that's the way... The question is, can these be separated by some crazy proposal by a map into some fixed object, because there's a fixed object in a category, such a thing, it's a case that these being different implies there exists a piece which these objects are not, and there's little you can do. I certainly want to understand this better. For me, this is some of the most exciting expositions of the whole week, and I think I've understood that.

55:00 The fact that it sort of rests entirely on this diagram is more nearly correct than it is the speed of it. Yes, and there has... I've only done... You're going to have to consider... I've only done humanities... We can evaluate humanities professors in the U.S., but they weren't a bit of an office. I guess there are things I've gotten back on in a set of professors. It wasn't obvious in the report that anybody knew who I was. And that sort of shows you why it's stronger. You've got this condition. Yeah. That, of course, makes it easier, whereas if you only have it for P equals 1... That's his case. I mean, I don't even know what he's saying, but you and I don't know what he's saying. Did Goetzmann have a case? This is going to be very confusing for me to reconstruct if you... Could you possibly do that on another page? There's a set of points. Oh, okay. You know, gamma star and y. The least you can do to... There's nothing much to it. Three set of maps from 1 to y. Three set of maps from 1 to y. Three set of maps from 1 to y. Three set of maps from 1 to y. Three set of maps from 1 to y. Three set of maps from 1 to y. In the U.S. we do have some funds for colleges without graduate programs, stuff like that, and this connects with the adequacy card. This is just a case where points are adequate and cut. No, it's only half of adequacy. Ah, okay. Now do it on another page, because I'm never going to be able to read this. No, no, no. Because I want to study this and test my own understanding. Yeah. I'll never get it back. About the castle. Yeah, yeah, yeah. Okay. Well, back it up into the castle then. Okay. Sorry. Well, you'll find out what the amount is.

57:30 Yes, and I'll pay for it and we'll settle up after the time. How about that? Is that okay? Yes, absolutely. All right. It's all right. Showbiz will trust me for it. Let's be generous. Let's say you come back quarter past five. What time did you say this, Bill? Let's say 5.30. I'm wondering my time. I'm not going to the government. No, no, no. Okay, but I want Bill to finish this, and then I've got to go and send my passport to Russia. Okay, well, you can join. That's the entrance down there. You know where the entrance is, don't you, Angus? Angus, the entrance is down there, exactly, yes. You get the tickets in that little, where the kids are standing there, that's where you get the tickets. We'll see you back at 5.30. Okay, right. Just finish this, Bill. You know, of course, that Ulam, the son of the Viennese... Stanislas Ulam. I didn't know he was the son of the Viennese back then. ...brought his brother to the U.S. His brother became an expert. Brought a huge wealth of... Oh, I've come across, I never knew this was the same family. Adam Ulam, yes, I've never read it. Adam Lua. Didn't in fact know that it was the same guy. I must talk to my friend Firouz who's writing the book on the Cold War about this, he's a very well-known one. This is a very serious political content. But tell me about the anti-Ulam principle. You said this is as it were just one half of the adequacy of points condition. Yeah. Well, okay, adequacy is one thing. Let's sort of continue here with adequacy. Let's say co-adequacy. Co-adequacy is the dual. Right, so the thing is this. We know Leibniz principle is valid. That's the first step. Any object, any space x, is part of the space of all judgments made on arbitrary measurements. I think that these are arbitrary.

1:00:00 Sorry. It's closing at 4. Not a bit. It closes at 6. Well, I've asked them to be back at 5.30, so it should be fine. Oh, OK. Yeah. Well, no, they've got two hours to finish. What time did you say it closes? That's OK. They've got two hours to go. It's only 3.30. Not even that. It's about 20 past 3, I think. No, we're OK. Thanks, though. Sorry. That's why we're going to have the free time to go around the castle now and then have the evening session after. Have a late-ish dinner.