17 ideas
9254 | In philosophy the truth can only be reached via the ruins of the false [Prichard] |
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] |
9256 | I see the need to pay a debt in a particular instance, and any instance will do [Prichard] |
9257 | The complexities of life make it almost impossible to assess morality from a universal viewpoint [Prichard] |
541 | Virtue comes more from habit than character [Critias] |
9255 | Seeing the goodness of an effect creates the duty to produce it, not the desire [Prichard] |
542 | Fear of the gods was invented to discourage secret sin [Critias] |