23 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] |
21059 | General rules of action also need a judgement about when to apply them [Kant] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
21061 | Duty does not aim at an end, but gives rise to universal happiness as aim of the will [Kant] |
21060 | It can't be a duty to strive after the impossible [Kant] |
21062 | The will's motive is the absolute law itself, and moral feeling is receptivity to law [Kant] |
21071 | There can be no restraints on freedom if reason does not reveal some basic rights [Kant] |
21063 | Personal contracts are for some end, but a civil state contract involves a duty to share [Kant] |
21068 | There must be a unanimous contract that citizens accept majority decisions [Kant] |
21069 | A contract is theoretical, but it can guide rulers to make laws which the whole people will accept [Kant] |
21070 | A law is unjust if the whole people could not possibly agree to it [Kant] |
21067 | A citizen must control his own life, and possess property or an important skill [Kant] |
21064 | A lawful civil state must embody freedom, equality and independence for its members [Kant] |
21066 | Citizens can rise to any rank that talent, effort and luck can achieve [Kant] |
21065 | You can't make a contract renouncing your right to make contracts! [Kant] |
21072 | The people (who have to fight) and not the head of state should declare a war [Kant] |