15 ideas
22026 | Philosophy is homesickness - the urge to be at home everywhere [Novalis] |
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] |
21566 | 'Propositional functions' are ambiguous until the variable is given a value [Russell] |
23627 | 'Before' and 'after' are not two relations, but one relation with two orders [Hossack] |
21567 | 'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell] |
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] |
23457 | Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell] |
21556 | Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey] |
21568 | A one-variable function is only 'predicative' if it is one order above its arguments [Russell] |
19591 | Desire for perfection is an illness, if it turns against what is imperfect [Novalis] |