Full Idea
Logic is definitional, whereas real mathematics is axiomatic.
Gist of Idea
Logic is definitional, but real mathematics is axiomatic
Source
Alain Badiou (Briefings on Existence [1998], 10)
Book Reference
Badiou,Alain: 'Briefings on Existence', ed/tr. Madarsz,Norman [SUNY 2006], p.119