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Single Idea 5557

[from 'Critique of Pure Reason' by Immanuel Kant, in 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers ]

Full Idea

Concerning magnitude ...there are no axioms in the proper sense. ....Axioms ought to be synthetic a priori propositions.

Gist of Idea

Axioms ought to be synthetic a priori propositions

Source

Immanuel Kant (Critique of Pure Reason [1781], B205/A164)

Book Reference

Kant,Immanuel: 'Critique of Pure Reason', ed/tr. Guyer,P /Wood,A W [CUO 1998], p.288


A Reaction

This may be a hopeless dream, but it is (sort of) what all philosophers long for. Post-modern relativism may just be the claim that all axioms are analytic. Could a posteriori propositions every qualify as axioms?