jgill

Understandable. Many others likewise. For the last 24 years math explorations have been a hobby for me as well.

Your opinion has been noted. Actually, I agree with the first statement above. The second sounds a little bitter.

, Thanks. But way, way outside the scope of vector spaces I ever encountered, like spaces of contours in the complex plane (where I still dwell).

To make your point would require some sort of poll of mathematicians asking "Are the Foundations of Mathematics important to you as you pursue your ex...

I had not heard of fusion category, but found it has 7 views per day on Wikipedia. And Categories has a little over two papers per day on arXiv.org. T...

I suppose it is, especially among foundations mathematicians. But I would not say it remains a crisis within the broader scope of the profession. Most...

:clap: :cool:

I don't think you would find a mathematician who would spend more than hour on it.

To me, "shake on it" signifies agreeing to a course of action rather than agreeing on a belief. If you meet someone and ask if they too believe in Kam...

What is that flying across the sky leaving behind it a trail? It must be Icarus on his way. Yes, my theory is evidenced! :roll:

OK. Thanks for the links. It should be emphasized that the crises is in the philosophy of mathematics. Mathematicians by and large ignore the crises (...

I was just commenting on your referring to "a foundational crises in mathematics". I doubt many mathematicians would agree there is a "crises". Concer...

Here we go again, assuming a stroll along an uneven path is the same as wandering through a minefield. :up:

In the case of the staircase paradox mathematicians simply accept the fact that the sequence of arc lengths does not converge to the length of the arc...

Well, it's good someone is interested. :roll:

Nothingness was abhorrent ? Geometry? Don't know and don't care. :cool:

Well, here is what ChatGPT has to say:

Not necessarily. The Diagonal paradox can be extended to a sequence of smooth curves that converges to a limit curve in the complex plane in which the...

Is there a question here? There is a lot more to science than honest bookkeeping. edit: didn't see the previous replies.

When I donate to Wikipedia, in a sense I receive a benefit indirectly and help provide benefits to others. In a way altruistic philosophy I suppose. W...

This is an exaggeration. There are probably universities around where this is taught regularly, but it has not caught on to any significant degree in ...

Thus, were set theory removed mathematicians would perish. I think not. But mathematics would not be nearly as robust as it is today. My humble opinio...

Another discussion: Are mathematical articles on wikipedia reliable?

Two opposing opinions. Here is a discussion on Quora.

There are over 20,000 articles about math on Wikipedia. My own experience has been that accuracy improves with advanced topics, and I have found that ...

5 views per day. The title doesn't resonate with many apparently (including me). Nevertheless, an important movement.

Daily pageview statistics on Wikipedia. And papers submitted to ArXiv.org For example: True arithmetic (Talk) And True arithmetic (pageviews) Low prio...

Thank you. This is similar to the group theory example. It makes more sense now. My favorite game on the internet is guessing the number of page views...

Possibly an act of sedition, but not one of treason.

Wikipedia and article: It looks like passing the buck to me. The word "true" in mathematics appears to be a kind of primitive when used outside of "tr...

Hopefully, Biden will be eased out of the race and replaced by a more worthy opponent for Trump. Kamala Harris is good at reading teleprompters, but d...

Ordinarily I would not give it much thought, but this thread seems to focus on math truth beyond virtue of proof. You seem to know what that is all ab...

I'm guessing, typical. Philosophical speculations distract from True mathematics. :cool: True or False?: The Earth is a planet. Answer: True (by virtu...

I never spent any time thinking about what I was doing. I did it, and still do it because it is a fascinating realm of exploration. As was rock climbi...

A well-known mathematician takes a look at "truth" in mathematics: Desparately Seeking Mathematical Truth

I'm with you. And I was a professor of mathematics. I am still puzzled over what precisely "true" means beyond verification by formal proof. I like yo...

It is a bit fuzzy. But here is an example: Linear fractional transformations have been around for years but at some point someone discovered they coul...

What of us who think it is both created and discovered?

Nor do I lean back and say, Wow, that's true! I simply don't use the words "true" or "truth" when doing math. I don't even think the words. But that's...

Of course there is nothing wrong with using the word "true" in math. But in the papers I have written (around thirty publications and over sixty more ...

It is true that some mathematicians are "problem solvers", perhaps the majority. But for the others, myself included, a mathematician is an explorer t...

True indeed. Many here do believe that Trump is guilty of this.

I agree. "Truth" is negotiable it seems. The word should be avoided in mathematical discussions. Tarski's Undefinability Theorem says (Wiki):

Well said.

I just checked on this past week's papers in logic posted at ArXiv.org. Four are from American universities and 13 are from foreign countries. FWIW

Depending upon the quality of the university to some extent. With the exception of a 12 month post-graduate program I took at the U of Chicago for the...

Some tend to conveniently forget that. Trump made an attempt to control the border, then when Biden came into office he made that infamous comment, "s...

Not quite. The mathematicians I knew BITD had little to no interest in discussing the distinctions between provability and truth. We were mostly in cl...

Run that by me again, please.

Deep stuff, here. :roll: