16 ideas
20955 | Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie] |
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] |
20950 | German Idealism says our thinking and nature have the same rational structure [Bowie] |
1490 | You would have to be very morally lazy to ignore criticisms of your own culture [Nagel] |
20942 | Nazis think race predetermines the self [Bowie] |
20946 | Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie] |