53 ideas
| 3005 | 'Jocasta' needs to be distinguished from 'Oedipus's mother' because they are connected by different properties [Fodor] |
| 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] |
| 9897 | The application of a system of numbers is counting and measurement [Benacerraf] |
| 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] |
| 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] |
| 7014 | A particle and a coin heads-or-tails pick out to perfectly well-defined predicates and properties [Fodor] |
| 9905 | Identity statements make sense only if there are possible individuating conditions [Benacerraf] |
| 3008 | Evolution suggests that innate knowledge of human psychology would be beneficial [Fodor] |
| 2990 | Contrary to commonsense, most of what is in the mind seems to be unlearned [Fodor] |
| 3009 | Sticklebacks have an innate idea that red things are rivals [Fodor] |
| 2994 | In CRTT thought may be represented, content must be [Fodor] |
| 15494 | We can't use propositions to explain intentional attitudes, because they would need explaining [Fodor] |
| 7326 | Intentionality doesn't go deep enough to appear on the physicists' ultimate list of things [Fodor] |
| 3001 | Behaviourism has no theory of mental causation [Fodor] |
| 2993 | Any piece of software can always be hard-wired [Fodor] |
| 3011 | Causal powers must be a crucial feature of mental states [Fodor] |
| 5498 | Mind is a set of hierarchical 'homunculi', which are made up in turn from subcomponents [Fodor, by Lycan] |
| 2995 | Supervenience gives good support for mental causation [Fodor] |
| 2991 | Hume's associationism offers no explanation at all of rational thought [Fodor] |
| 3002 | If mind is just physical, how can it follow the rules required for intelligent thought? [Fodor] |
| 2992 | We may be able to explain rationality mechanically [Fodor] |
| 2988 | Folk psychology is the only explanation of behaviour we have [Fodor] |
| 3010 | Belief and desire are structured states, which need mentalese [Fodor] |
| 2999 | Obsession with narrow content leads to various sorts of hopeless anti-realism [Fodor] |
| 3012 | Do identical thoughts have identical causal roles? [Fodor] |
| 2998 | Grice thinks meaning is inherited from the propositional attitudes which sentences express [Fodor] |
| 3006 | Whatever in the mind delivers falsehood is parasitic on what delivers truth [Fodor] |
| 3007 | Many different verification procedures can reach 'star', but it only has one semantic value [Fodor] |
| 3004 | The meaning of a sentence derives from its use in expressing an attitude [Fodor] |
| 3000 | Meaning holism is a crazy doctrine [Fodor] |
| 3003 | Very different mental states can share their contents, so content doesn't seem to be constructed from functional role [Fodor] |
| 2996 | Mental states may have the same content but different extensions [Fodor] |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |