Combining Texts

All the ideas for 'Questions on Aristotle's Physics', 'Queries to the 'Opticks'' and 'The Concept of Logical Consequence'

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9 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]

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

16678

Without magnitude a thing would retain its parts, but they would have no location [Buridan]

9. Objects / E. Objects over Time / 8. Continuity of Rivers

16793

A thing is (less properly) the same over time if each part is succeeded by another [Buridan]

14. Science / A. Basis of Science / 2. Demonstration

16577

Induction is not demonstration, because not all of the instances can be observed [Buridan]

14. Science / C. Induction / 2. Aims of Induction

16576

Science is based on induction, for general truths about fire, rhubarb and magnets [Buridan]

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

13345

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

26. Natural Theory / D. Laws of Nature / 1. Laws of Nature

16746

Principles of things are not hidden features of forms, but the laws by which they were formed [Newton]