58 ideas
22309 | An idea can only be like another idea [Berkeley] |
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] |
9899 | The successor of x is either x and all its members, or just the unit set of x [Benacerraf] |
9900 | For Zermelo 3 belongs to 17, but for Von Neumann it does not [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] |
9908 | The job is done by the whole system of numbers, so numbers are not objects [Benacerraf] |
9907 | If any recursive sequence will explain ordinals, then it seems to be the structure which matters [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] |
6717 | Abstract ideas are impossible [Berkeley] |
18876 | Berkeley does believe in trees, but is confused about what trees are [Berkeley, by Cameron] |
6715 | Universals do not have single meaning, but attach to many different particulars [Berkeley] |
6719 | No one will think of abstractions if they only have particular ideas [Berkeley] |
6714 | Universals do not have any intrinsic properties, but only relations to particulars [Berkeley] |
6729 | Material substance is just general existence which can have properties [Berkeley] |
16636 | A die has no distinct subject, but is merely a name for its modes or accidents [Berkeley] |
9905 | Identity statements make sense only if there are possible individuating conditions [Benacerraf] |
6722 | Perception is existence for my table, but also possible perception, by me or a spirit [Berkeley] |
6723 | The 'esse' of objects is 'percipi', and they can only exist in minds [Berkeley] |
6732 | When I shut my eyes, the things I saw may still exist, but in another mind [Berkeley] |
6724 | The only substance is spirit, or that which perceives [Berkeley] |
6726 | No one can, by abstraction, conceive extension and motion of bodies without sensible qualities [Berkeley] |
6728 | Motion is in the mind, since swifter ideas produce an appearance of slower motion [Berkeley] |
6727 | Figure and extension seem just as dependent on the observer as heat and cold [Berkeley] |
6495 | Berkeley's idealism resulted from fear of scepticism in representative realism [Robinson,H on Berkeley] |
6720 | Knowledge is of ideas from senses, or ideas of the mind, or operations on sensations [Berkeley] |
23636 | Berkeley's idealism gives no grounds for believing in other minds [Reid on Berkeley] |
6736 | I know other minds by ideas which are referred by me to other agents, as their effects [Berkeley] |
6713 | If animals have ideas, and are not machines, they must have some reason [Berkeley] |
6491 | Berkeley replaced intentionality with an anti-abstractionist imagist theory of thought [Berkeley, by Robinson,H] |
6711 | The mind creates abstract ideas by considering qualities separated from their objects [Berkeley] |
10581 | I can only combine particulars in imagination; I can't create 'abstract' ideas [Berkeley] |
6721 | Ideas are perceived by the mind, soul or self [Berkeley] |
6716 | Language is presumably for communication, and names stand for ideas [Berkeley] |
6718 | I can't really go wrong if I stick to wordless thought [Berkeley] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
6731 | No one can explain how matter affects mind, so matter is redundant in philosophy [Berkeley] |
6730 | We discover natural behaviour by observing settled laws of nature, not necessary connections [Berkeley] |
15861 | The laws of nature are mental regularities which we learn by experience [Berkeley] |
6734 | If properties and qualities arise from an inward essence, we will remain ignorant of nature [Berkeley] |
6735 | All motion is relative, so a single body cannot move [Berkeley] |
6733 | I cannot imagine time apart from the flow of ideas in my mind [Berkeley] |
6737 | Particular evils are really good when linked to the whole system of beings [Berkeley] |