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Ideas for 'fragments/reports', 'On Second-Order Logic' and 'Logical Atomism'

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3 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Some axioms may only become accepted when they lead to obvious conclusions [Russell]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]