FillMaths

6 ms·

1.
Potential versus Actual Infinity(youtube.com)
3 points by FillMaths 7d ago|0 comments
2.
Is Infinity Even or Odd?(infinitelymore.xyz)
2 points by FillMaths 23d ago|0 comments
3.
Why Human Giants Defy the Laws of Physics(thereader.mitpress.mit.edu)
3 points by FillMaths 1mo ago|0 comments
4.
The Largest Tweetable Number – lectures on infinity (lecture 4)(youtube.com)
1 points by FillMaths 1mo ago|0 comments
5.
The Paradox of Giants: Consequences in High Dimension(youtube.com)
1 points by FillMaths 2mo ago|0 comments
6.
Supertasks: Doing Infinitely Many Things–Lectures on Infinity (Lecture 2)(youtube.com)
3 points by FillMaths 2mo ago|0 comments
7.
Zeno's Paradox and Infinite Sums – Lectures on Infinity (Lecture 1) [video](youtube.com)
2 points by FillMaths 2mo ago|0 comments
8.
Humans Are Not Conscious(philosophersmag.com)
4 points by FillMaths 3mo ago|0 comments
9.
Fermat's last theorem in the natural ring of ordinals(infinitelymore.xyz)
3 points by FillMaths 3mo ago|0 comments
10.
Joel David Hamkins – Set Theory, Pluralism and the Multiverse View – About Logic(youtube.com)
3 points by FillMaths 4mo ago|0 comments
11.
Skolem's Paradox(infinitelymore.xyz)
1 points by FillMaths 4mo ago|0 comments
12.
The Book of Numbers(infinitelymore.xyz)
4 points by FillMaths 4mo ago|0 comments
13.
by FillMaths 7mo ago
The real field is categorically characterized (in second-order logic) as the unique complete ordered field, proved by Huntington in 1903. The complex field is categorically characterized as the unique algebraic closure of the real field, an
14.
by FillMaths 7mo ago
It's not about observers, but about mathematical structure and meaning. Without answering the questions, you are being ambiguous as to what the structure of C is. For example, if a particular copy of R is fixed as a subfield, then ther
15.
by FillMaths 7mo ago
Of course everyone agrees that this is a nice way to construct the complex field. The question is what is the structure you are placing on this construction. Is it just a field? Do you intend to fix R as a distinguished subfield? After all,
16.
by FillMaths 7mo ago
You say that i is "the square root of -1", but which one is it? There are two. This is the point in the essay---we cannot tell the difference between i and -i unless we have already agreed on a choice of which square root of -1 we
17.
by FillMaths 7mo ago
This one has the paywall, but the main site has no paywall currently.
18.
Mathematicians disagree on the essential structure of the complex numbers (2024)(infinitelymore.xyz)
246 points by FillMaths 7mo ago|377 comments
19.
Ultrafinitism(infinitelymore.xyz)
2 points by FillMaths 9mo ago|0 comments
20.
by FillMaths 1y ago
Subsequent posts developing the paradox further into the transfinite ordinals and uncountable ordinals: https://www.infinitelymore.xyz/t/infinite-subway-paradox
21.
The Infinite Subway Paradox(infinitelymore.xyz)
3 points by FillMaths 1y ago|1 comments
22.
The Liar (A Logic Song)(youtube.com)
2 points by FillMaths 1y ago|0 comments
23.
How the continuum hypothesis could have been a fundamental axiom(youtube.com)
2 points by FillMaths 1y ago|0 comments
24.
How we might have viewed the continuum hypothesis as a fundamental axiom(youtube.com)
2 points by FillMaths 1y ago|0 comments
25.
Take my Infinity final exam(infinitelymore.xyz)
1 points by FillMaths 2y ago|0 comments
26.
How do you think of the complex numbers? (poll)(twitter.com)
1 points by FillMaths 2y ago|1 comments
27.
Recursive Chess(infinitelymore.xyz)
3 points by FillMaths 2y ago|0 comments
28.
We Can Predict the Future(infinitelymore.xyz)
1 points by FillMaths 2y ago|0 comments
29.
by FillMaths 2y ago
Sorry, I tried my best. I wanted to mention the thought experiment part, since that is the most interesting bit. (But I'm not sure why it was misleading?)
30.
by FillMaths 2y ago
The pdf file is available at: https://arxiv.org/pdf/2407.02463

More ›