🧵 Advanced arithmetic?
Anonymous at Fri, 6 Sep 2024 01:01:23 UTC No. 16363089
Is there such a thing as advanced arithmetic?
What are the most advanced problems in arithmetic?
Do any professors specialise in arithmetic?
Or does that just become philosophy of mathematics at that level?
Anonymous at Fri, 6 Sep 2024 01:36:05 UTC No. 16363133
Man, allegedly, the some of the hardest problems are there. Goldbach conjecture, Existence of odd perfect numbers, Collatz conjecture, ABC conjcture, twin primes conjecture. Literally one of the hardest because we basically lack tools to address these problems and sometimes we have no idea how to realla attack some of them. There are many more.
Anonymous at Fri, 6 Sep 2024 02:05:15 UTC No. 16363159
>>16363133
Ahhh that makes sense. I didnt realise that those fell within arithmetic. I've heard of them but not done enough math to get to them. And while it intuitively makes sense that they're arithmetic problems, can you explain why in a way I can hold onto in my head?
Also, how are these things proved? I've done philosophy of science to an graduate level, and I am comfortable talking about logical proof and scientific proof. But I've never been able to properly place mathematical proof falling somewhere between the other two. Are there any recommended books on mathematical proof that are accessible to the layman?
Anonymous at Fri, 6 Sep 2024 02:43:48 UTC No. 16363184
>>16363089
advanced arithmetic is called number theory
Anonymous at Fri, 6 Sep 2024 08:26:42 UTC No. 16363489
>>16363184
numerology*
Cult of Passion at Fri, 6 Sep 2024 08:39:11 UTC No. 16363499
>>16363489
>number theory
>numerology
Anonymous at Fri, 6 Sep 2024 08:49:32 UTC No. 16363506
>>16363089
that picture is blasphemous and highlights how delusional him and his supporters are, trumps too rich to need to know math
Anonymous at Fri, 6 Sep 2024 13:08:14 UTC No. 16363735
Laws of Form by G Spencer Brown