Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'works' and 'The Nature of Necessity'

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6 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15941

For intuitionists excluded middle is an outdated historical convention [Brouwer]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism

18383

Plantinga says there is just this world, with possibilities expressed in propositions [Plantinga, by Armstrong]

10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation

11891

Possibilities for an individual can only refer to that individual, in some possible world [Plantinga, by Mackie,P]

28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof

20704

A possible world contains a being of maximal greatness - which is existence in all worlds [Plantinga, by Davies,B]