Combining Texts

All the ideas for 'fragments/reports', 'Substitutional Classes and Relations' and 'The Concept of Logical Consequence'

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10 ideas

2. Reason / D. Definition / 7. Contextual Definition

21560

Any linguistic expression may lack meaning when taken out of context [Russell]

2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes

21561

'The number one is bald' or 'the number one is fond of cream cheese' are meaningless [Russell]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

18130

Axiom of Reducibility: there is always a function of the lowest possible order in a given level [Russell, by Bostock]

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]

8. Modes of Existence / A. Relations / 1. Nature of Relations

21562

There is no complexity without relations, so no propositions, and no truth [Russell]

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

13345

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

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

541	Virtue comes more from habit than character [Critias]

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

542	Fear of the gods was invented to discourage secret sin [Critias]