Combining Texts

All the ideas for 'Two Problems of Epistemology', 'What Does It All Mean?' and 'Logical Consequence'

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10 ideas

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

18755

Validity is explained as truth in all models, because that relies on the logical terms [McGee]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

18751

Natural language includes connectives like 'because' which are not truth-functional [McGee]

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

18761

Second-order variables need to range over more than collections of first-order objects [McGee]

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic

18753

An ontologically secure semantics for predicate calculus relies on sets [McGee]

5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth

18754

Logically valid sentences are analytic truths which are just true because of their logical words [McGee]

5. Theory of Logic / K. Features of Logics / 3. Soundness

18757

Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

18760

The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]

14. Science / A. Basis of Science / 6. Falsification

18284

Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]

19. Language / A. Nature of Meaning / 6. Meaning as Use

4001	The meaning of a word contains all its possible uses as well as its actual ones [Nagel]

19. Language / F. Communication / 2. Assertion

18762

A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee]