Combining Texts

All the ideas for 'Necessary Existents', 'Proof that every set can be well-ordered' and 'On Carnap's Views on Ontology'

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6 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science

22153

Quine rejects Carnap's view that science and philosophy are distinct [Quine, by Boulter]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897

Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment

19485

Names have no ontological commitment, because we can deny that they name anything [Quine]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers

19486

We can use quantification for commitment to unnameable things like the real numbers [Quine]

19. Language / D. Propositions / 3. Concrete Propositions

19216

Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]

19. Language / E. Analyticity / 3. Analytic and Synthetic

19487

Without the analytic/synthetic distinction, Carnap's ontology/empirical distinction collapses [Quine]