Combining Texts

Ideas for 'Structures and Structuralism in Phil of Maths', 'Nature Without Essence' and 'The Structure of Objects'

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4 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

13288

Consequence is truth-preserving, either despite substitutions, or in all interpretations [Koslicki]

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

14506

'Roses are red; therefore, roses are colored' seems truth-preserving, but not valid in a system [Koslicki]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

10175

Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]

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

17867

If a concept is not compact, it will not be presentable to finite minds [Almog]