Combining Philosophers

Ideas for Jerry A. Fodor, Gottlob Frege and Keith Donnellan

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7 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

16886

The truth of an axiom must be independently recognisable [Frege]

17624

To understand axioms you must grasp their logical power and priority [Frege, by Burge]

16866

Tracing inference backwards closes in on a small set of axioms and postulates [Frege]

16868

The essence of mathematics is the kernel of primitive truths on which it rests [Frege]

16871

A truth can be an axiom in one system and not in another [Frege]

16870

Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]

5. Theory of Logic / K. Features of Logics / 2. Consistency

12656

P-and-Q gets its truth from the truth of P and truth of Q, but consistency isn't like that [Fodor]