13 ideas
21962 | Metaphysics is the roots of the tree of science [Descartes] |
3659 | I know the truth that God exists and is the author of truth [Descartes] |
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] |
3657 | Understanding, not the senses, gives certainty [Descartes] |
5845 | Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon] |
3660 | Atheism arises from empiricism, because God is intangible [Descartes] |