15 ideas
6259 | Why can't a wise man doubt everything? [Montaigne] |
6263 | No wisdom could make us comfortably walk a wide beam if it was high in the air [Montaigne] |
6258 | Virtue is the distinctive mark of truth, and its greatest product [Montaigne] |
17824 | The master science is physical objects divided into sets [Maddy] |
17825 | Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy] |
17826 | Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy] |
17828 | Numbers are properties of sets, just as lengths are properties of physical objects [Maddy] |
17827 | Sets exist where their elements are, but numbers are more like universals [Maddy] |
17830 | Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy] |
17823 | If mathematical objects exist, how can we know them, and which objects are they? [Maddy] |
17829 | Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy] |
6262 | We lack some sense or other, and hence objects may have hidden features [Montaigne] |
7566 | The Identity of Indiscernibles is really the same as the verification principle [Jolley] |
6260 | Sceptics say there is truth, but no means of making or testing lasting judgements [Montaigne] |
6261 | The soul is in the brain, as shown by head injuries [Montaigne] |