13 ideas
14779 | I reason in order to avoid disappointment and surprise [Peirce] |
14777 | That a judgement is true and that we judge it true are quite different things [Peirce] |
14780 | Only study logic if you think your own reasoning is deficient [Peirce] |
13373 | Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G] |
13368 | The 'least indefinable ordinal' is defined by that very phrase [Priest,G] |
13370 | 'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G] |
13369 | By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G] |
13366 | The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G] |
13367 | The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G] |
13372 | There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G] |
13371 | If you know that a sentence is not one of the known sentences, you know its truth [Priest,G] |
14778 | Facts are hard unmoved things, unaffected by what people may think of them [Peirce] |
5845 | Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon] |