18 ideas
6253 | Reason is our power of finding out true propositions [Hutcheson] |
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] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
6256 | Can't the moral sense make mistakes, as the other senses do? [Hutcheson] |
6252 | Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson] |
6257 | You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson] |
6254 | We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson] |
6255 | Why may God not have a superior moral sense very similar to ours? [Hutcheson] |