Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, Thomas W. Polger and Gottlob Frege
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6 ideas
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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To understand axioms you must grasp their logical power and priority [Frege, by Burge]
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16886
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The truth of an axiom must be independently recognisable [Frege]
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16866
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Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
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16871
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A truth can be an axiom in one system and not in another [Frege]
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16868
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The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
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16870
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Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
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