18 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] |
12312 | The real essence of a thing is its powers, or 'dispositional properties' [Copi] |
13128 | 'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins] |
10937 | Essential properties are the 'deepest' ones which explain the others [Copi, by Rami] |
12308 | In modern science, nominal essence is intended to be real essence [Copi] |
12303 | Within the four types of change, essential attributes are those whose loss means destruction [Copi] |
12307 | Modern science seeks essences, and is getting closer to them [Copi] |
12310 | Real essences are scientifically knowable, but so are non-essential properties [Copi] |