That reminds me of the famous quote attributed to Blaise Pascal, inventor of the Pascal programming language^*, I would have written a shorter letter,...
In the case of a collection of things in the physical world, they have spatio-temporal positoin, but there is no inherent order. How would you define ...
Hi, just happened by and have not followed this thread for months, so my comment is completely out of context and only directed at exactly the text qu...
No, it's your own private concept of a set that's incoherent. But what I do find noteworthy is that you genuinely believe (unless everything you post ...
It's technical to prove that non well-founded sets are consistent. See https://math.stackexchange.com/questions/1148634/show-that-there-are-non-well-f...
I don't think there are any common or obvious examples, but they are studied. Perhaps there are some clues here, I didn't read through this. https://p...
FWIW I think I've convinced myself that you're right. Under regularity, the collection of sets that are members of themselves is indeed the empty set....
A newborn doesn't have a hat but it can acquire one. But the deeper point is that YOUR CONCEPT of a set has inherent order, and that's fine. But the m...
I'll try to go through your proof later. I'd prefer it if you'd mark it up but I'll slog through the ASCII later maybe. I think you are making an inte...
Yes correct! Exactly. But you are also claiming that "the set of all sets that are members of themselves" exists and is the empty set. That's not cons...
Good, thanks. My head hurts but I think I'm right. Let's see what comes next ... Then do so. Let me see it. Writing it in words doesn't help. "The set...
It undermined Frege's idea that a set is defined by a predicate, as in "the set of things satisfying such and so." That leads to a contradiction. The ...
It formats fine for me, but it took a couple of edits before it did. Is it still bad? Can't do anything about that, it looks right at my end. Then we'...
I'll retract that objection and reiterate my point that you cannot form the set \{x : x \notin x\} absent some existing set. Which in your case needs ...
Hmmmm. Don't think this can work. If there's a set of all sets that contain themselves, then its complement is the set of all sets that don't contain ...
Second this (almost). Here are the relevant links. Turns out that self-containing sets are an object of interest. However I do not believe there could...
I haven't watched the vid, is it any good? Veritasium is usually pretty good but not always. When I saw that he'd done one on this subject my first re...
Just yesterday I happened to run across yet another article about the subject. If you want to claim that everyone's been lying -- that there was no on...
That is not even remotely the point. The point is that in China, it's the State that says how many children a couple may have. They enforce, or enforc...
LOL. So I've heard. But the larger point remains, that in the past century math has experienced a loss of certainty. You say that like it's a bad thin...
I wasn't born wearing a hat but I can go buy one. The idea that a thing can't gain stuff it didn't have before is false. But I've already shown you ho...
Well I'm a formalist sometimes and a Platonist other times. I made the point earlier to @"Metaphysician Undercover" that while math isn't "true" in th...
I think we can defer to Gowers's great essay, The Two Cultures of Math, which he identifies as theory builders and problem solvers. https://www.dpmms....
China had for decades a one-child policy, which was apparently relaxed to a two-child policy, then just this week was relaxed again to a three-child p...
I can only go by the published literature on the subject. Perhaps you can point me to references to the contrary, in which case I will thank you for t...
It's my general observation that when physicists talk about infinity they usually mean something entirely different than the way mathematicians use th...
I wonder why you won't engage with the substantive point I've made against the praise of science. Here's a piece that I just ran across an hour ago by...
You seem to want to place math on some kind of pedestal, as if someone is claiming it's absolute truth, then you point out that it's not absolute trut...
Isn't "important aspect" weaselly enough? I didn't say "all" or "most," just an important aspect. A lot of the big breakthroughs do involve radically ...
Can't speak about Kant. But the physics theory of eternal inflation posits an infinite future. And Penrose's conformal cyclic cosmology posits an endl...
My understanding is that Tononi's phi is intended to be exactly that. But I only linked to the Aaronson article and haven't paid much attention to IIT...
This was in reference to my question, Why don't you treat math like chess, and accept it on its own terms? And I see no answer here. Math is a game th...
https://en.wikipedia.org/wiki/Collectivism You know I just happened to learn yesterday that China will now allow married couples to have three childre...
You don't credit Trump's Operation Warp Speed with the development of a vax in record time? During most of 2020, Democrats said that no vax could ever...
Me too. But I well remember my experience in abstract algebra. At first it made no sense whatsoever, and it was that way several weeks into the course...
Ok. I can understand that. But I'm offering you a way out. Just take the position of formalism. There are no numbers, only numerals and the rules for ...
I was thinking you'd respond to that with a little self-aware sense of humor. Could there be some unresolved psychological dynamics at play? In any ev...
@"Metaphysician Undercover", Found someone else who agrees with your philosophy of math. https://i.postimg.cc/V5yVNm8H/main-qimg-d8626193cbe7beb74fbfe...
@"Metaphysician Undercover", What is the inherent order of the points in this set? Can you see that the points are inherently disordered or unordered,...
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