12 ideas
6855 | Interesting philosophers hardly every give you explicitly valid arguments [Martin,M] |
6856 | Valid arguments can be rejected by challenging the premises or presuppositions [Martin,M] |
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] |
6857 | An error theory of perception says our experience is not as it seems to be [Martin,M] |
23261 | A people, not government, creates a constitution, which is essential for legitimacy [Paine] |