13 ideas
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] |
5987 | Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von] |
14802 | Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce] |
14800 | The world is full of variety, but laws seem to produce uniformity [Peirce] |
14801 | Darwinian evolution is chance, with the destruction of bad results [Peirce] |
24043 | Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle] |