Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'Which Logic is the Right Logic?' and 'Intro to Gdel's Theorems'

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5 ideas

5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms

10077

A 'surjective' ('onto') function creates every element of the output set [Smith,P]

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An 'injective' ('one-to-one') function creates a distinct output element from each original [Smith,P]

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A 'bijective' function has one-to-one correspondence in both directions [Smith,P]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

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The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp]

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Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp]