Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core principles didn’t come easily.
Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also producing new insights in math and beyond.
Before calculus was there , there was practically no need to develop logarithms (of course useful for calculations) but before people discovered the properties of logarithms that enable this calculations. What was the need of logarithms?…
