16 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] |
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] |
9312 | Consciousness is reductively explained either by how it represents, or how it is represented [Kriegel/Williford] |
9313 | Experiences can be represented consciously or unconsciously, so representation won't explain consciousness [Kriegel/Williford] |
9315 | Red tomato experiences are conscious if the state represents the tomato and itself [Kriegel/Williford] |
9316 | How is self-representation possible, does it produce a regress, and is experience like that? [Kriegel/Williford] |
9314 | Unfortunately, higher-order representations could involve error [Kriegel/Williford] |
8130 | Qualities of experience are just representational aspects of experience ('Representationalism') [Harman, by Burge] |