16 ideas
13011 | New axioms are being sought, to determine the size of the continuum [Maddy] |
13014 | Extensional sets are clearer, simpler, unique and expressive [Maddy] |
13013 | The Axiom of Extensionality seems to be analytic [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] |
10196 | The Axiom of Choice needs a criterion of choice [Black] |
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] |
10194 | Two things can only be distinguished by a distinct property or a distinct relation [Black] |
10193 | The 'property' of self-identity is uselessly tautological [Black] |
10195 | If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black] |
19739 | The maxim for suicide is committed to the value of life, and is thus contradictory [Kant] |