15 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
7719 | European philosophy consists of a series of footnotes to Plato [Whitehead] |
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] |
10656 | With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi] |
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] |
15389 | In Whitehead 'processes' consist of events beginning and ending [Whitehead, by Simons] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
15247 | Whitehead held that perception was a necessary feature of all causation [Whitehead, by Harré/Madden] |
16962 | Whitehead replaced points with extended regions [Whitehead, by Quine] |