12 ideas
23623 | Predicativism says only predicated sets exist [Hossack] |
23624 | The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack] |
23625 | Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack] |
23628 | The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack] |
23627 | 'Before' and 'after' are not two relations, but one relation with two orders [Hossack] |
23626 | Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack] |
23621 | Numbers are properties, not sets (because numbers are magnitudes) [Hossack] |
23622 | We can only mentally construct potential infinities, but maths needs actual infinities [Hossack] |
19087 | The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce] |
20949 | Study the use of words, not their origins [Herder] |
7669 | We cannot attain all the ideals of every culture, so there cannot be a perfect life [Herder, by Berlin] |
7668 | Herder invented the idea of being rooted in (or cut off from) a home or a group [Herder, by Berlin] |