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TonesInDeepFreeze

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Define 'reach', 'freezing' and 'letting catch up'. Better yet, tell me your primitives and your sequence of definitions from the primitives.
February 18, 2024 at 00:50
I'd rather say 'theory' than 'model'. But then we must ask what we mean by a theory being true or false. In a rigorous sense, a theory is true or fals...
February 18, 2024 at 00:49
We'd have to look at the arguments of people who have said that there is. Who do you have in mind? Naturally, we would look at realists such as Godel....
February 18, 2024 at 00:43
1. I don't know what you mean by ""make sense" of". 2. Frege's system was taken to be a derivation of mathematics from logic alone. Russell's paradox ...
February 18, 2024 at 00:31
In: Infinity  — view comment
The best introduction to the subject I have found is in the introduction to Church's 'Introduction To Mathematical Logic', as indeed that whole introd...
February 17, 2024 at 08:22
In: Infinity  — view comment
The crank will mangle what I wrote, misrepresent it, presume to knock down strawmen of it. Likely, I won't have to time to compose a response, especia...
February 17, 2024 at 08:17
In: Infinity  — view comment
It's also fine to have a philosophical stance that there are no abstract objects. But being true to that stance then requires eschewing even everyday ...
February 17, 2024 at 07:32
In: Infinity  — view comment
It is fine to say that mathematics should be done intensionally. But cranks go wrong when they claim of the classical mathematics they're criticizing ...
February 17, 2024 at 06:50
In: Infinity  — view comment
That quote could be written only by someone who does not understand what is meant by 'extensional' and 'intensional'. A name is not just one of extens...
February 17, 2024 at 05:17
In: Infinity  — view comment
That reminds me, I still am interested in how he thinks Putnam's indispensability view jibes with his own views.
February 17, 2024 at 05:04
In: Infinity  — view comment
Yep.
February 17, 2024 at 05:02
In: Infinity  — view comment
Each of these is true if and only if each of the others is true: S = T S equals T S is identical with T S is T the denotation of 'S' = the denotation ...
February 17, 2024 at 04:59
In: Infinity  — view comment
Just to be clear: I enjoy reading classical mathematics; I find great wisdom in mathematical logic; I admire the rigor of logic and mathematics; I adm...
February 17, 2024 at 04:21
In: Infinity  — view comment
Values are not "inherently intensional". One may reject ideation and communication premised in abstract objects. But the notion of identity is not eve...
February 17, 2024 at 03:57
In: Infinity  — view comment
I searched 'Wittgenstein mathematics infinite means finite'. Of course, there are hits with all those terms, but the one I saw come up with a preview ...
February 17, 2024 at 02:41
In: Infinity  — view comment
You lied about me when you said I started with insults. I gave you the links that prove that you're lying about that. And even showed that you first m...
February 17, 2024 at 02:09
In: Infinity  — view comment
I understand metaphor. I didn't demand perfection in what you said. You said that mathematics regards 'infinite' to mean 'finite'. That's not a metaph...
February 17, 2024 at 02:03
In: Infinity  — view comment
That's a beam calling the mote a beam.
February 17, 2024 at 01:50
In: Infinity  — view comment
I read the chapter about the history of set theory and philosophy about it. I haven't posted anything to dispute of it nor, in certain parts, anything...
February 17, 2024 at 01:42
There is no 'Godel's paradox'. Anyway, as best I understand your question, the answer is 'no'.
February 17, 2024 at 01:29
You can hold in your hands and read every volume of the 'Journal of Symbolic Logic' in its original printing, as at the start of the rows of them is V...
February 16, 2024 at 03:05
In: Infinity  — view comment
A poster who starts out in a thread by declaring "end of story" does not bode well. I am getting a good laugh though at that poster challenging me to ...
February 16, 2024 at 02:45
In: Infinity  — view comment
And Chat GPT. It is bewildering why challenged me to show a book that defines 'infinite' as 'not finite' when you could have looked yourself at the bo...
February 16, 2024 at 02:41
In: Infinity  — view comment
Hilary Putnam? How do your views square with indispensability?
February 16, 2024 at 02:11
In: Infinity  — view comment
I don't know what that would be, but I disfavor censoring cranks or admins using "chilling effects". On the other hand, it is indeed disheartening whe...
February 16, 2024 at 02:08
In: Infinity  — view comment
I'm glad I don't do that.
February 16, 2024 at 02:01
In: Infinity  — view comment
No one counts infinitely. To say "counting infinitely and stopping", in this context, is a contradiction. The theory of infinite sets is not premised ...
February 16, 2024 at 01:59
In: Infinity  — view comment
Even if we agreed that there are no infinite sets, it still wouldn't be the case that 'infinite' means 'finite'. And even if we agreed that the use of...
February 16, 2024 at 01:50
In: Infinity  — view comment
Whose word games? The point is that you claimed that mathematics takes 'infinite' to mean 'finite', and you support that by claiming that Wittgenstein...
February 16, 2024 at 01:45
In: Infinity  — view comment
Asking a second time, what quote in the article do you claim supports your claim that Wittgenstein said that mathematics takes 'infinite' to mean 'fin...
February 16, 2024 at 01:40
In: Infinity  — view comment
The ridiculousness is courtesy of you. Maybe not comedy, but still risible is the claim that set theory takes 'infinite' to mean 'finite'.
February 16, 2024 at 01:36
In: Infinity  — view comment
Here, very early in this thread, you imparted an insult snidely couched as a rhetorical question: Here is my first post in response to you: There is n...
February 16, 2024 at 01:28
In: Infinity  — view comment
I'm referring to a notion in which there are only finite "approximations". That is, that the real number is taken to be the algorithm for generating s...
February 16, 2024 at 01:00
In: Infinity  — view comment
You are blatantly lying about me. Again. Stop lying about me. Moreover, I addressed the issue of ad hominem in detail. Of course, you SKIP that. First...
February 16, 2024 at 00:50
A library is a candy store, temple, sanctuary, and sparkling pool under a waterfall, all in one.
February 15, 2024 at 18:35
In: Infinity  — view comment
Another common crank fallacy is claiming that mathematics is false by way or arguing that mathematics uses words in ways different from their ordinary...
February 15, 2024 at 18:06
In: Infinity  — view comment
By the way, the distinction between the countability of the naturals and the uncountability of the reals doesn't, in a certain important sense, even r...
February 15, 2024 at 17:00
In: Infinity  — view comment
Regarding the fact that mathematics is not even isomorphic to a system of physical objects: It's not intended to be, and it's not required for the eff...
February 15, 2024 at 16:49
In: Infinity  — view comment
If one rejects the view that abstract objects exist (and obviously, as abstractions, they don't exist physically), then, of course, the left term and ...
February 15, 2024 at 16:16
In: Infinity  — view comment
You may try for, literally, years and he will not understand.
February 15, 2024 at 15:46
I thought you meant an intermediate step in the proof. I have no comment on your characterization of phases. The problem is not misnamed. I explained ...
February 15, 2024 at 15:19
In: Infinity  — view comment
I gave the Mark Twain / Samuel Clemens example as an illustration, not an argument, of the distinction between sense and denotation. And I mentioned t...
February 15, 2024 at 14:58
In: Infinity  — view comment
A = B A is B. The value named by 'A' is the value named by 'B'. A is equal to B. The value named by 'A' is equal to the value named by 'B'. A is ident...
February 15, 2024 at 09:40
In: Infinity  — view comment
You argue by mere assertion. Anyway, you said this in not worth your time and signed off with "All the best", yet you're still going at it.
February 15, 2024 at 09:36
In: Infinity  — view comment
Whatever that might mean in your own mind. As long as I can be Laurel. Stan Laurel is a great hero of mine. Right up there with Buster Keaton.
February 15, 2024 at 09:33
In: Infinity  — view comment
You've not shown that I've distorted any fact. Meanwhile, you've been distorting all over the place, as I have shown.
February 15, 2024 at 09:31
In: Infinity  — view comment
First you say I speak for Banno, then you say that Banno controls me. But if Banno controls me, and I speak for him, then I speak for him at his contr...
February 15, 2024 at 09:31
In: Infinity  — view comment
You're lying again. I committed no action that constitutes speaking for Banno.
February 15, 2024 at 09:23
In: Infinity  — view comment
I haven't presumed to speak for Banno. You're lying again.
February 15, 2024 at 09:21
In: Infinity  — view comment
I explicitly said I do not speak for Banno. You say that in mathematics 'infinite' means 'finite', but 'infinite' means 'not finite'. Then I say that ...
February 15, 2024 at 09:20