Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Real Natures and Familiar Objects' and 'The Concept of Logical Consequence'

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10 ideas

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

18812

Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt]

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

13344

X follows from sentences K iff every model of K also models X [Tarski]

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

14235

Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]

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

13343

A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]

8. Modes of Existence / B. Properties / 1. Nature of Properties

13795

Properties only have identity in the context of their contraries [Elder]

9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay

13798

Maybe we should give up the statue [Elder]

9. Objects / D. Essence of Objects / 6. Essence as Unifier

13797

The loss of an essential property means the end of an existence [Elder]

9. Objects / D. Essence of Objects / 9. Essence and Properties

13794

Essential properties by nature occur in clusters or packages [Elder]

13796

Essential properties are bound together, and would be lost together [Elder]

19. Language / E. Analyticity / 1. Analytic Propositions

13345

Sentences are 'analytical' if every sequence of objects models them [Tarski]