Commentary by cpressey on FoM works =================================== ### What is a natural number? ### Most \'unintuitive\' application of the Axiom of Choice? ### Why worry about the axiom of choice? ### How much of the axiom of choice do you need in mathematics? ### What can be preserved in mathematics if all constructions are carried out in ZF? ### Lists as a foundation of mathematics ### Is there any physical or computational justification for non-constructive axioms such as AC or excluded middle? ### Does changing the universe of set theory change the definition of truth? ### Bourbaki\'s definition of the number 1 ### The Origin of the Number Zero \| History \| Smithsonian ### How to rewrite mathematics constructively? ### How should a \"working mathematician\" think about sets? (ZFC, category theory, urelements) ### Set theories without \"junk\" theorems? ### foundations - Why hasn\'t mereology succeeded as an alternative to set theory? ### Which is the most powerful language, set theory or category theory? ### Defining the standard model of PA so that a space alien could understand ### ULTRAINFINITISM, or a step beyond the transfinite ### Set-theoretical multiverse and foundations ### New Foundations and weaker forms of choice ### getting rid of existential quantifiers ### Paris--Harrington theorem - Wikipedia, the free encyclopedia ### What sorts of extra axioms might we add to ZFC to compute higher Busy Beaver numbers? ### Are there first-order statements that second order PA proves that first order PA does not?