Combining Texts

Ideas for 'To be is to be the value of a variable..', 'What is Logic?' and 'Ordinary Objects'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

13845

The various logics are abstractions made from terms like 'if...then' in English [Hacking]

5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic

13840

First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]

13844

A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

13842

Second-order completeness seems to need intensional entities and possible worlds [Hacking]

10225

Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]

10736

Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]

10780

Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]