16 ideas
| 12268 | Contradiction is impossible [Antisthenes (I), by Aristotle] |
| 18261 | A simplification which is complete constitutes a definition [Kant] |
| 602 | Some fools think you cannot define anything, but only say what it is like [Antisthenes (I), by Aristotle] |
| 17824 | The master science is physical objects divided into sets [Maddy] |
| 22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
| 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] |
| 18260 | If we knew what we know, we would be astonished [Kant] |
| 1664 | I would rather go mad than experience pleasure [Antisthenes (I)] |
| 21385 | Antisthenes said virtue is teachable and permanent, is life's goal, and is like universal wealth [Antisthenes (I), by Long] |
| 2631 | Antisthenes says there is only one god, which is nature [Antisthenes (I), by Cicero] |