Combining Texts

All the ideas for 'Wisdom', 'The Concept of Logical Consequence' and 'Foundations of Geometry'

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7 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated

19695

The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]

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 / C. Ontology of Logic / 3. If-Thenism

10053

Geometrical axioms imply the propositions, but the former may not be true [Russell]

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]

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

10052

Geometry is united by the intuitive axioms of projective geometry [Russell, by Musgrave]

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

13345

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