27 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] |
22808 | Liberalism is minimal government, or individual rights, or equality [Avineri/De-Shalit] |
22803 | Can individualist theories justify an obligation to fight in a war? [Avineri/De-Shalit] |
22804 | Autonomy is better achieved within a community [Avineri/De-Shalit] |
22806 | Communitarians avoid oppression for the common good, by means of small mediating communities [Avineri/De-Shalit] |
22807 | If our values are given to us by society then we have no grounds to criticise them [Avineri/De-Shalit] |
21332 | We don't get a love of 'order' from nature - which is thoroughly chaotic [Mill] |
21333 | Evil comes from good just as often as good comes from evil [Mill] |
21335 | Belief that an afterlife is required for justice is an admission that this life is very unjust [Mill] |
21334 | No necessity ties an omnipotent Creator, so he evidently wills human misery [Mill] |
21329 | Nature dispenses cruelty with no concern for either mercy or justice [Mill] |
21328 | Killing is a human crime, but nature kills everyone, and often with great tortures [Mill] |
21330 | Nature makes childbirth a miserable experience, often leading to the death of the mother [Mill] |
21331 | Hurricanes, locusts, floods and blight can starve a million people to death [Mill] |