(July 10, 2019 at 8:34 am)polymath257 Wrote:(July 10, 2019 at 7:55 am)Jehanne Wrote: Without axioms, there is no mathematics.
Yes, precisely. So the question is *which* axioms. How do we choose the axioms? And it seems different people have different opinions on how to choose.
Ultimately, consensus among experts. I doubt that finitism even has a chapter in any number theory, abstract alebgra or complex analysis textbook, but, I admit that I could be wrong on this one.