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Ideas for 'Mahaprajnaparamitashastra', '(Nonsolipsistic) Conceptual Role Semantics' and 'Logic in Mathematics'

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6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]