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Full Idea
There is a heterogeneity of introductory procedures of different classical number types: axiomatic for natural numbers, structural for ordinals, algebraic for negative and rational numbers, topological for reals, mainly geometric for complex numbers.
Gist of Idea
Each type of number has its own characteristic procedure of introduction
Source
Alain Badiou (Briefings on Existence [1998], 11)
Book Ref
Badiou,Alain: 'Briefings on Existence', ed/tr. Madarsz,Norman [SUNY 2006], p.125