9 ideas
18261 | A simplification which is complete constitutes a definition [Kant] |
9616 | A set is a collection into a whole of distinct objects of our intuition or thought [Cantor] |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
15896 | Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine] |
13768 | Validity can preserve certainty in mathematics, but conditionals about contingents are another matter [Edgington] |
13770 | There are many different conditional mental states, and different conditional speech acts [Edgington] |
13764 | Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? [Edgington] |
13765 | 'If A,B' must entail ¬(A & ¬B); otherwise we could have A true, B false, and If A,B true, invalidating modus ponens [Edgington] |
18260 | If we knew what we know, we would be astonished [Kant] |