Combining Texts

All the ideas for 'Contrib to Critique of Hegel's Phil of Right', 'Set Theory and the Continuum Hypothesis' and 'The Concept of Logical Consequence'

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8 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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 |=
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
A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
We could accept the integers as primitive, then use sets to construct the rest [Cohen]
19. Language / E. Analyticity / 1. Analytic Propositions
Sentences are 'analytical' if every sequence of objects models them [Tarski]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
The middle class gain freedom through property, but workers can only free all of humanity [Marx, by Singer]
Theory is as much a part of a revolution as material force is [Marx]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion is the opium of the people, and real happiness requires its abolition [Marx]