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Ideas for 'Logical Consequence', 'Immortality of the Soul' and 'Logic in Mathematics'

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2 ideas

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

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Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

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If principles are provable, they are theorems; if not, they are axioms [Frege]