17 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] |
21339 | We want the ontology of relations, not just a formal way of specifying them [Heil] |
21349 | Two people are indirectly related by height; the direct relation is internal, between properties [Heil] |
21340 | Maybe all the other features of the world can be reduced to relations [Heil] |
21348 | In the case of 5 and 6, their relational truthmaker is just the numbers [Heil] |
21351 | Truthmaking is a clear example of an internal relation [Heil] |
21344 | If R internally relates a and b, and you have a and b, you thereby have R [Heil] |
21350 | If properties are powers, then causal relations are internal relations [Heil] |
2798 | Probability of H, given evidence E, is prob(H) x prob(E given H) / prob(E) [Horwich] |
2799 | Bayes' theorem explains why very surprising predictions have a higher value as evidence [Horwich] |