Combining Texts

All the ideas for 'Aristotle and Descartes on Matter', 'Abduction and Induction' 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]

14. Science / D. Explanation / 3. Best Explanation / a. Best explanation

14790

'Abduction' is beginning a hypothesis, particularly if it includes preference of one explanation over others [Peirce]

14791

Abduction involves original suggestions, and not just the testing involved in induction [Peirce]

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

13345

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

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter

19399

Prime matter is nothing when it is at rest [Leibniz]