Combining Philosophers

Ideas for Hermarchus, A.George / D.J.Velleman and Howard Robinson

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7 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

10111

Asserting Excluded Middle is a hallmark of realism about the natural world [George/Velleman]

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

10129

A 'model' is a meaning-assignment which makes all the axioms true [George/Velleman]

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

10105

Differences between isomorphic structures seem unimportant [George/Velleman]

5. Theory of Logic / K. Features of Logics / 2. Consistency

10119

Consistency is a purely syntactic property, unlike the semantic property of soundness [George/Velleman]

10126

A 'consistent' theory cannot contain both a sentence and its negation [George/Velleman]

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

10120

Soundness is a semantic property, unlike the purely syntactic property of consistency [George/Velleman]

5. Theory of Logic / K. Features of Logics / 4. Completeness

10127

A 'complete' theory contains either any sentence or its negation [George/Velleman]