19 ideas
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] |
13128 | 'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins] |
17488 | Empiricist theories are sets of laws, which give explanations and reductions [Glennan] |
17493 | Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan] |
17487 | Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan] |
17489 | Mechanisms are either systems of parts or sequences of activities [Glennan] |
17490 | 17th century mechanists explained everything by the kinetic physical fundamentals [Glennan] |
17491 | Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan] |
17494 | Since causal events are related by mechanisms, causation can be analysed in that way [Glennan] |