55 ideas
| 19648 | Since Kant we think we can only access 'correlations' between thinking and being [Meillassoux] |
| 19674 | The Copernican Revolution decentres the Earth, but also decentres thinking from reality [Meillassoux] |
| 19657 | In Kant the thing-in-itself is unknowable, but for us it has become unthinkable [Meillassoux] |
| 19675 | Since Kant, philosophers have claimed to understand science better than scientists do [Meillassoux] |
| 19649 | Since Kant, objectivity is defined not by the object, but by the statement's potential universality [Meillassoux] |
| 19666 | If we insist on Sufficient Reason the world will always be a mystery to us [Meillassoux] |
| 19656 | Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality? [Meillassoux] |
| 19663 | We can allow contradictions in thought, but not inconsistency [Meillassoux] |
| 19664 | Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux] |
| 19665 | Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux] |
| 9912 | There are no such things as numbers [Benacerraf] |
| 9901 | Numbers can't be sets if there is no agreement on which sets they are [Benacerraf] |
| 9151 | Benacerraf says numbers are defined by their natural ordering [Benacerraf, by Fine,K] |
| 13891 | To understand finite cardinals, it is necessary and sufficient to understand progressions [Benacerraf, by Wright,C] |
| 17904 | A set has k members if it one-one corresponds with the numbers less than or equal to k [Benacerraf] |
| 17906 | To explain numbers you must also explain cardinality, the counting of things [Benacerraf] |
| 9898 | We can count intransitively (reciting numbers) without understanding transitive counting of items [Benacerraf] |
| 17903 | Someone can recite numbers but not know how to count things; but not vice versa [Benacerraf] |
| 4045 | Children may have three innate principles which enable them to learn to count [Goldman] |
| 9897 | The application of a system of numbers is counting and measurement [Benacerraf] |
| 19677 | What is mathematically conceivable is absolutely possible [Meillassoux] |
| 9900 | For Zermelo 3 belongs to 17, but for Von Neumann it does not [Benacerraf] |
| 9899 | The successor of x is either x and all its members, or just the unit set of x [Benacerraf] |
| 8697 | Disputes about mathematical objects seem irrelevant, and mathematicians cannot resolve them [Benacerraf, by Friend] |
| 8304 | No particular pair of sets can tell us what 'two' is, just by one-to-one correlation [Benacerraf, by Lowe] |
| 9906 | If ordinal numbers are 'reducible to' some set-theory, then which is which? [Benacerraf] |
| 9907 | If any recursive sequence will explain ordinals, then it seems to be the structure which matters [Benacerraf] |
| 9908 | The job is done by the whole system of numbers, so numbers are not objects [Benacerraf] |
| 9909 | The number 3 defines the role of being third in a progression [Benacerraf] |
| 9911 | Number words no more have referents than do the parts of a ruler [Benacerraf] |
| 8925 | Mathematical objects only have properties relating them to other 'elements' of the same structure [Benacerraf] |
| 9938 | How can numbers be objects if order is their only property? [Benacerraf, by Putnam] |
| 9910 | Number-as-objects works wholesale, but fails utterly object by object [Benacerraf] |
| 4044 | Rat behaviour reveals a considerable ability to count [Goldman] |
| 9903 | Number words are not predicates, as they function very differently from adjectives [Benacerraf] |
| 9904 | The set-theory paradoxes mean that 17 can't be the class of all classes with 17 members [Benacerraf] |
| 19659 | The absolute is the impossibility of there being a necessary existent [Meillassoux] |
| 19662 | It is necessarily contingent that there is one thing rather than another - so something must exist [Meillassoux] |
| 19654 | We must give up the modern criterion of existence, which is a correlation between thought and being [Meillassoux] |
| 4048 | Infant brains appear to have inbuilt ontological categories [Goldman] |
| 9905 | Identity statements make sense only if there are possible individuating conditions [Benacerraf] |
| 19660 | Possible non-being which must be realised is 'precariousness'; absolute contingency might never not-be [Meillassoux] |
| 19671 | The idea of chance relies on unalterable physical laws [Meillassoux] |
| 19651 | Unlike speculative idealism, transcendental idealism assumes the mind is embodied [Meillassoux] |
| 19647 | The aspects of objects that can be mathematical allow it to have objective properties [Meillassoux] |
| 4043 | Elephants can be correctly identified from as few as three primitive shapes [Goldman] |
| 4049 | The way in which colour experiences are evoked is physically odd and unpredictable [Goldman] |
| 4047 | Gestalt psychology proposes inbuilt proximity, similarity, smoothness and closure principles [Goldman] |
| 19652 | How can we mathematically describe a world that lacks humans? [Meillassoux] |
| 19668 | Hume's question is whether experimental science will still be valid tomorrow [Meillassoux] |
| 19650 | The transcendental subject is not an entity, but a set of conditions making science possible [Meillassoux] |
| 19667 | If the laws of nature are contingent, shouldn't we already have noticed it? [Meillassoux] |
| 19670 | Why are contingent laws of nature stable? [Meillassoux] |
| 19653 | The ontological proof of a necessary God ensures a reality external to the mind [Meillassoux] |
| 19658 | Now that the absolute is unthinkable, even atheism is just another religious belief (though nihilist) [Meillassoux] |