29 ideas
10571 | Concern for rigour can get in the way of understanding phenomena [Fine,K] |
10565 | There is no stage at which we can take all the sets to have been generated [Fine,K] |
10564 | We might combine the axioms of set theory with the axioms of mereology [Fine,K] |
10569 | If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K] |
10570 | Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K] |
10573 | Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K] |
10575 | Why should a Dedekind cut correspond to a number? [Fine,K] |
10574 | Unless we know whether 0 is identical with the null set, we create confusions [Fine,K] |
10560 | Set-theoretic imperialists think sets can represent every mathematical object [Fine,K] |
10568 | Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K] |
10563 | A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K] |
10561 | Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K] |
10562 | We can combine ZF sets with abstracts as urelements [Fine,K] |
10567 | We can create objects from conditions, rather than from concepts [Fine,K] |
21059 | General rules of action also need a judgement about when to apply them [Kant] |
21061 | Duty does not aim at an end, but gives rise to universal happiness as aim of the will [Kant] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
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] |