Combining Texts

All the ideas for 'fragments/reports', 'The Concept of Logical Consequence' and 'On Simple Theories of a Complex World'

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10 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 / B. Scientific Theories / 1. Scientific Theory

21687

It seems obvious to prefer the simpler of two theories, on grounds of beauty and convenience [Quine]

21688

There are four suspicious reasons why we prefer simpler theories [Quine]

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

13345

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

19. Language / F. Communication / 3. Denial

1554	Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]

28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique

1555	People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]

28. God / C. Attitudes to God / 5. Atheism

535	The gods are just personified human benefits [Prodicus]

1543	He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]