20 ideas
10482 | The logic of ZF is classical first-order predicate logic with identity [Boolos] |
10492 | A few axioms of set theory 'force themselves on us', but most of them don't [Boolos] |
10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
7755 | Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan] |
10491 | Infinite natural numbers is as obvious as infinite sentences in English [Boolos] |
10483 | Mathematics and science do not require very high orders of infinity [Boolos] |
10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
7768 | The truth conditions theory sees meaning as representation [Lycan] |
7766 | Meaning must be known before we can consider verification [Lycan] |
7764 | Could I successfully use an expression, without actually understanding it? [Lycan] |
7763 | It is hard to state a rule of use for a proper name [Lycan] |
7770 | Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan] |
7773 | A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan] |
7774 | Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |