Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'What Required for Foundation for Maths?' and 'Logic in Mathematics'

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8 ideas

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

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]

17779

'Classificatory' axioms aim at revealing similarity in morphology of structures [Mayberry]

17778

Axiomatiation relies on isomorphic structures being essentially the same [Mayberry]

17780

'Eliminatory' axioms get rid of traditional ideal and abstract objects [Mayberry]

5. Theory of Logic / K. Features of Logics / 6. Compactness

17789

No logic which can axiomatise arithmetic can be compact or complete [Mayberry]