For those who want some slightly more "sane" arguments against the foundation of mathamatics that is normally accepted, I highly recommend that folks read these

For those who want some slightly more "sane" arguments against the foundation of mathamatics that is normally accepted, I highly recommend that folks read these wikipedia articles. Basically, if your concerned with the epistemological justifications for the traditional way that infinite set theory is treated, it turns out you're far from alone! A lot of top mathematicians agree with you. 1. https://en.wikipedia.org/wiki/Intuitionism#Infinity https://en.wikipedia.org/wiki/Intuitionism#Infinity 2. https://en.wikipedia.org/wiki/Intuitionistic_logic https://en.wikipedia.org/wiki/Intuitionistic_logic 3. https://en.wikipedia.org/wiki/Constructivism_(philosophy_of_mathematics)#Cardinality https://en.wikipedia.org/wiki/Constructivism_(philosophy_of_... 3. https://en.wikipedia.org/wiki/Constructive_set_theory https://en.wikipedia.org/wiki/Constructive_set_theory 4. https://en.wikipedia.org/wiki/Law_of_excluded_middle https://en.wikipedia.org/wiki/Law_of_excluded_middle <---- (all of the above reject this naughty child, and rightfully so)