Combining Philosophers

Ideas for Lamargue,P/Olson,SH, Engelbretsen,G/Sayward,C and David Lewis

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11 ideas

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

13850

In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

13849

Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward]

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic

13851

Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

10816

We can use mereology to simulate quantification over relations [Lewis]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

15533

We can quantify over fictions by quantifying for real over their names [Lewis]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

15731

Quantification sometimes commits to 'sets', but sometimes just to pluralities (or 'classes') [Lewis]

15525

Plural quantification lacks a complete axiom system [Lewis]

15518

I like plural quantification, but am not convinced of its connection with second-order logic [Lewis]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

15534

We could quantify over impossible objects - as bundles of properties [Lewis]

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

14212

A consistent theory just needs one model; isomorphic versions will do too, and large domains provide those [Lewis]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

13852

Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]