Combining Texts

All the ideas for 'Universal Arithmetick', 'Aristotelian commentaries' and 'The Concept of Logical Consequence'

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7 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 / 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 / 5. Definitions of Number / b. Greek arithmetic

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification

16751

Unity by aggregation, order, inherence, composition, and simplicity [Conimbricense, by Pasnau]

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary

16720

Secondary qualities come from temperaments and proportions of primary qualities [Conimbricense]

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

13345

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