18 ideas
9123 | Someone standing in a doorway seems to be both in and not-in the room [Priest,G, by Sorensen] |
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] |
304 | Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato] |
16120 | Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato] |
303 | Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato] |
302 | What knowledge is required to live well? [Plato] |
301 | Only knowledge of some sort is good [Plato] |
305 | Something which lies midway between two evils is better than either of them [Plato] |