Combining Texts

All the ideas for 'Necessary Existents', 'Why Propositions cannot be concrete' and 'works'

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
3340 Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
3355 Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
18. Thought / E. Abstraction / 1. Abstract Thought
9086 The idea of abstract objects is not ontological; it comes from the epistemological idea of abstraction [Plantinga]
9087 Theists may see abstract objects as really divine thoughts [Plantinga]
19. Language / D. Propositions / 3. Concrete Propositions
9085 If propositions are concrete they don't have to exist, and so they can't be necessary truths [Plantinga]
19216 Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
19. Language / D. Propositions / 4. Mental Propositions
9084 Propositions can't just be in brains, because 'there are no human beings' might be true [Plantinga]