21 ideas
8877 | We can't attain a coherent system by lopping off any beliefs that won't fit [Sosa] |
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] |
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] |
8884 | The phenomenal concept of an eleven-dot pattern does not include the concept of eleven [Sosa] |
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] |
8878 | It is acceptable to say a supermarket door 'knows' someone is approaching [Sosa] |
8880 | In reducing arithmetic to self-evident logic, logicism is in sympathy with rationalism [Sosa] |
8881 | Most of our knowledge has insufficient sensory support [Sosa] |
8882 | Perception may involve thin indexical concepts, or thicker perceptual concepts [Sosa] |
8883 | Do beliefs only become foundationally justified if we fully attend to features of our experience? [Sosa] |
8885 | Some features of a thought are known directly, but others must be inferred [Sosa] |
8876 | Much propositional knowledge cannot be formulated, as in recognising a face [Sosa] |
8879 | Fully comprehensive beliefs may not be knowledge [Sosa] |
7489 | Joshua said, Sun, stand thou still [Anon (Josh)] |