Combining Texts

All the ideas for 'works', 'Summa quaestionum super Sententias' and 'The Concept of Logical Consequence'

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8 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 / 2. Domain of Quantification

17743

De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

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 / A. Relations / 1. Nature of Relations

16659

Relations do not add anything to reality, though they are real aspects of the world [Olivi]

9. Objects / C. Structure of Objects / 4. Quantity of an Object

16673

Quantity just adds union and location to the extension of parts [Olivi]

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

13345

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

27. Natural Reality / G. Biology / 5. Species

16663

Things are limited by the species to certain modes of being [Olivi]