16 ideas
| 291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
| 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] |
| 4483 | If abstract terms are sets of tropes, 'being a unicorn' and 'being a griffin' turn out identical [Loux] |
| 4481 | Austere nominalists insist that the realist's universals lack the requisite independent identifiability [Loux] |
| 4477 | Universals come in hierarchies of generality [Loux] |
| 4482 | Austere nominalism has to take a host of things (like being red, or human) as primitive [Loux] |
| 4478 | Nominalism needs to account for abstract singular terms like 'circularity'. [Loux] |
| 4480 | Times and places are identified by objects, so cannot be used in a theory of object-identity [Loux] |
| 293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |