16 ideas
| 22153 | Quine rejects Carnap's view that science and philosophy are distinct [Quine, by Boulter] |
| 13011 | New axioms are being sought, to determine the size of the continuum [Maddy] |
| 13013 | The Axiom of Extensionality seems to be analytic [Maddy] |
| 13014 | Extensional sets are clearer, simpler, unique and expressive [Maddy] |
| 13021 | The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy] |
| 13022 | Infinite sets are essential for giving an account of the real numbers [Maddy] |
| 13023 | The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy] |
| 13024 | Efforts to prove the Axiom of Choice have failed [Maddy] |
| 13025 | Modern views say the Choice set exists, even if it can't be constructed [Maddy] |
| 13026 | A large array of theorems depend on the Axiom of Choice [Maddy] |
| 13019 | The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy] |
| 13018 | Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy] |
| 19485 | Names have no ontological commitment, because we can deny that they name anything [Quine] |
| 19486 | We can use quantification for commitment to unnameable things like the real numbers [Quine] |
| 1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
| 19487 | Without the analytic/synthetic distinction, Carnap's ontology/empirical distinction collapses [Quine] |