12 ideas
| 6602 | Philosophy is like a statue which is worshipped but never advances [Bacon] |
| 8460 | Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian] |
| 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] |
| 16724 | The senses deceive, but also show their own errors [Bacon] |
| 6603 | Nature is revealed when we put it under pressure rather than observe it [Bacon] |