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'New System and Explanation of New System', 'Logic in Mathematics' and 'Laches'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
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Logic not only proves things, but also reveals logical relations between them [Frege]
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5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
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Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
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The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
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5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
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'Theorems' are both proved, and used in proofs [Frege]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
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The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
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A truth can be an axiom in one system and not in another [Frege]
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Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
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