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by readenough 992 days ago
I think the question should go even deeper. There are so many fundamental axioms that must be accepted on faith alone. The question I usually start with is "Can anyone prove that numbers exist outside of our imagination?" I not talking simply about perception. Even I believe that if I perceive that I am hit with a brick then the brick exists. We have no senses that can detect numbers. When I asked this question to any of the several mathematicians that I know, the answer has always been ~ Yeah, good question ~ and then they move on.
3 comments

Feynman has some useful words about this phenomenon of always wanting to dig deeper: https://youtu.be/36GT2zI8lVA?si=Boiqod3GXHVMyE_s
Why do you think we should go deeper with pointless questions? What would you do with the answer if someone provided one?
> "Can anyone prove that numbers exist outside of our imagination?"

What do you mean by "exist" here?