this post was submitted on 18 Aug 2023
9 points (90.9% liked)
math
268 readers
1 users here now
Interesting news and discussion centered around Mathematics
founded 1 year ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
so couldn’t any set become interesting (in the common sense) just as soon as someone becomes interested? e.g. by developing a theorem that incorporates it? it doesn’t feel like it adds anything to qualify an expression as mathematically interesting because it’s the creativity of the mathematician that makes the interest. maybe it’s just a social ask: “have it be interesting to you, or else keep it to yourself”, heh.
Philosophy is fun too!
Yes, I think so, especially if the theorem is itself profound somehow. It doesn't even have to be in a theorem, if it has a really simple definition that non-obviously leads to a finite set that would be enough for me in this question.
I'm reminded of an argument I heard once that there are no uninteresting positive reals, because being the smallest such number would itself be interesting. That seems faulty to me, it just means it's a set with no minimal element, which can exist even in an interval. The infimum would have to be 0.
Stepping into linguistics for a moment, have you heard of pragmatics? Not sharing irrelevant information is a common unwritten rule in conversations. I specified it here because someone might incorrectly assume I'm unaware you can build arbitrary sets of natural numbers.