Discussions Following Geometric Structures in Logic, Physics & Computer Science (contd.)

0:00 See, here's the crazy idea I have. You want to show that given any two things, there's something bigger. Well, take the sum. In other words, I think that you have enough going here to define the sort of original sum. I think one should be able to define something like an ordinal sum, but a recurrent sum which is always a little bit stronger than an ordinal sum, so then of course it's filtered, because given it's an ordinal sum, it's bigger, so to speak. The nitty-gritty, then, of defining this work, I was hoping maybe I looked it up, but there's no mention of this at all. Different publications by Ernst Witt, Andre Weil, and somebody else. Slightly different versions of this. Andre Weil's version went in, embracing himself. The answer to that point is that a strong historical connection to that, but they won't be able to prove the truth, but proof in the opposite direction is pretty easy, because you give them a map and want to show half the section, you consider a partial section, and that's a process that's going to apply, so there's always that key extra step that's showing that the maximum thing must in fact be everything, because otherwise you can go one step further. Again, the negation. There's always this negation at the end and the negation at the beginning, which is annoying, but I don't know if there's any real point in trying to eliminate it, because once you assume the actual point, you have to move on. This is the theorem, so...

2:30 Yes, because you've lost all of the even between. It actually intervenes between x and 2x in the real world. But one thing you said... I mean, it wouldn't be, probably, it wouldn't be gaining anything if you could have some... But the point is about, you know, the much more, the much more conceptually clearer way in which you're thinking about all of the science, and the context of it, and this expansion of the world, I think, and this question of, you know, the top of the second. Because it doesn't get any mixed up with this. One thing you said this morning, well, one thing you didn't say, which I was surprised, would have come in as a useful plug. The point that you made, when you made your point about the cohesion, in particular the cohesion, but also the internal variation, You shouldn't mention, of course, the burnout of Carpenter. This is precisely what is strange about him, he doesn't tell us anything about the way that shapes in the real world behave, and why, in spite of people who like to doubt it, you can't actually take the feed, dissect it, and reassemble the moon out of it. Well, in fact, that's a few feet out of me in the real world. I just think that would have been a useful thing. But then, of course, the way that the axiom of choice gets into mathematics completely confuses the whole definition of mathematics. It's not the axiom of choice per se. It's the fact that if you imagine this totally frozen world, then God can come in and do any kind of interagency or anything he wants.

5:00 Thank you for your attention. But I just think it's a useful pedagogical moment. I'm probably not talking about it because I've been saying to lots of quantum mathematicians, don't need to have that pointed out, but if you're talking to more general philosophical people, it's a good point at which to... You're right, it's worth mentioning, at least for non-maths. Or primates. Well, do you want another drink, and then do you want to let us go off and eat? Yeah. I think we'll... I'll leave you in... Picture club. Seven? No, no, no, probably haven't changed. Well, let's have another one of these. The lecture treatment will be closing at 11 o'clock. Hello. You okay with what you were having before? You're okay with that? So you have to go off first thing in the morning, do you? Yeah. I was... Have you ever been around the crypt of a particle? The French Communist Party always used to organize a ceremony there every year on the anniversary of their massacre.

7:30 Now, of course. I was not sure it was right to celebrate mathematics. Well, we'll celebrate it. No, I'm commemorating the brave men who were evicted. Anyway, I would go there if I had to. When I lived in Paris, I didn't live in Paris. Ah, I hadn't realized there had been a period in your career where you had lived in Paris. Oh yeah, 20 years ago. 20 years ago. Well, I have to say, this is a great place to live, to visit one day. Well, this bit of Paris is my favorite bit. Yeah, but it's just too far away. Now we do. Right now they have really stalled the first schedule in the science department to mark the 150th anniversary of the original experiment called the experiment of Jeff Frasier, and this was the first time that was actually used as a part of the demonstration of the research. Yes, yes, it's been re-installed just for this year. It's the one I went out there for my birthday. It has been swinging for 150 years now. It was dismantled. In fact, it was actually put up at the behest of Louis Napoleon when he was president of the Republic. But then, of course, all of a sudden he decided to blame himself anyway. He changed it into a Concorde out with the church. And, of course, promptly had them. And finally, it was only finally, they finally got rid of the Capuchin mugs and all of the paraphernalia in 1885, when the Republic finally turned into...

10:00 There's always been one of the great symbols of the function between the lay and the public distribution, the Catholic, clerical, fascist, Buddhist, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, Protestant, By that time, I don't know, it was one of the first things that they wanted it taken down as soon as the church got their hands back on movement. I mean, it was a sign of good man's possible mastery of mathematics. Yes, I actually understand that. But they're very interesting biologists. They're all people I've learned about. They're all people I've learned about. They're all people I've learned about. They're all people I've learned about. And of course many people in the republican tradition, because there's always been these, the press were born with the boycott radicals, and of course many heroes of the resistance were born with the boycott radicals. It was designed as a church. It was designed by Michael Sutra as a church in the middle of the 18th century. It was actually designed in the 1755. But they kept modifying the design. It wasn't completed until the 1790s. And it was almost exactly as if the building was not actually consecrated in the church because by that time the revolution was taking place. And in 1791 they decided to use the building as the temple of civic work and in which the great... The great men of the nation, no political credits for the great men, although of course Marie Curie and a number of women would be enthused, would be there to be their moral. And it really kind of became very specific, the anti-religious manifestations of the revolution.

12:30 And then of course after term. But people were ever being buried and kicked out because there were changes in the media that was no longer. They were being stalled in the walls of the East. We're not at the restoration after Napoleon, after the fall of Napoleon. Actually, what happened to Napoleon, typical of Napoleon, Napoleon, when Napoleon carried out his utterly cynical concordat, he allowed them to consecrate the pop-up park, which the cults remained a purely civic area, and it was sort of a description of a scepter by himself, the emperor. As to who would be buried there. And so Legrand came along with all these other people who were buried there, and it's obviously great that in the air they can figure out where these people were buried and help them to see. It's not just the people who were buried there, but the priests got the upper hand. And of course, at the Restoration, they got the whole lot. And then in 1830, or shortly after the 1830 revolution, the priests were kicked out again and it became a civic monument. And it was then a civic monument until, just after the Foucault pendulum was installed, and then Napoleon I sent it back in 1885. In fact, it was at that point that the Priests went off and built that horrible psycho curve that Priscilla got on top of Marmaris, which was explicitly built as a known... This is an act of expiation for the common man. If you actually go inside the Sacré-Cœur, they've got this big tablet inside that explains that this church is concentrated as an act of expiation and oblation in the presence of Almighty God for the terrible sin of… The common terrible sin of the French people having risen up in the Middle Ages in a materialist doctrine against the teachings of the church and carried out all the atrocities and horrors of the common people. So this is actually a temple in both an expiation of and celebration of the Christ in Japan.

15:00 No other religious monastic craft is the one that's most impressive. He is intended to be just such a provocateur, but the Poisson remained a civic monarch, or a spirit of the class as well, a civic monarch. That's a fascinating building. Thank you for your attention. Oh, yes, I guess when you were young and, you know. The main entrance is just off the Passeport de Rocher, and in fact it's the space between the categories of the entrance that was used to create your vital systems during the occupation. And in fact, during the Liberation of Iraq, the commandant of the Free French Forces in Europe actually had his headquarters in the capital, and in the metro, as well. That was where the Fletcher operations were largely directed. And where the German demand was for Van Gogh to surrender to the hotel Maritza, perhaps because he was forced to surrender before.

17:30 He refused to surrender to the resistance. He wanted to surrender to Marx. He wanted to surrender to Marx. Oh yes, oh yes, yes. It's in the plaza 4, the metro, the entrance is just over by the sign. No, I wouldn't do a taking around Paris. I'll take myself. It's a place I feel like living. Right, right. Would you give me my advanced barber for a minute, please? I'll get my ring this weekend. There will be a couple more memorials in the States. There are many different types of mathematics in the world of physics, and there are many different types of mathematics in the world of mathematics, and there are many different types of mathematics in the world of physics, and there are many different types of mathematics in the world of physics, and there are many different types of mathematics in the world of physics, and there are many different types of mathematics in the world of physics, and there are He was a militant at the time. Well, he was a militant at the time. Well, but he was a militant. He lived in the town. He was part of the royal household.

20:00 Is he? Oh, he moved for me. Oh, yes, yes, afterwards. Yeah, yeah. Yeah, yeah. All of these terms are used in the course of the course of the course of the course of the course

30:00 Why did he write the volume Sibyl about the, you know, to try to keep up the whole idea of the process of the, you know, the chartist, the chartist, the chartist, the major attempt at revolution, you know, against, with the pretext, well, of course, he just simply went and slumped around. But he's simply from a high four-year-old man's viewpoint. But he is a busy politician. Why does he take time out to write? He was a literary figure. He must have been inspired by Kohler to do that. I think Disraeli was very strongly influenced by Kohler. But the short answer is, I don't know the answer to your question whether Chateaubriand and Kohler did of course come with or read one another. On the other hand, Chateaubriand had an actual conspiracy. In his case, it was much more direct because it was for a course. It was an organization, which was not only Dumas, but Hugo, and Robert was involved, and basically most of the famous literary figures were not some individuals floating around.

32:30 They were an organization which was directed by Benny Bourgeois.