59 ideas
1695 | Without extensive examination firm statements are hard, but studying the difficulties is profitable [Aristotle] |
1698 | Both sides of contraries need not exist (as health without sickness, white without black) [Aristotle] |
1697 | The contrary of good is bad, but the contrary of bad is either good or another evil [Aristotle] |
11034 | The differentiae of genera which are different are themselves different in kind [Aristotle] |
18367 | A true existence statement has its truth caused by the existence of the thing [Aristotle] |
9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
11033 | Predications of predicates are predications of their subjects [Aristotle] |
9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
11044 | One is prior to two, because its existence is implied by two [Aristotle] |
11042 | Parts of a line join at a point, so it is continuous [Aristotle] |
9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
11041 | Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle] |
10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
11286 | Primary being must be more than mere indeterminate ultimate subject of predication [Politis on Aristotle] |
1700 | There are six kinds of change: generation, destruction, increase, diminution, alteration, change of place [Aristotle] |
1699 | A thing is prior to another if it implies its existence [Aristotle] |
18366 | Of interdependent things, the prior one causes the other's existence [Aristotle] |
9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
13121 | Substance,Quantity,Quality,Relation,Place,Time,Being-in-a-position,Having,Doing,Being affected [Aristotle, by Westerhoff] |
11035 | There are ten basic categories for thinking about things [Aristotle] |
3311 | The categories (substance, quality, quantity, relation, action, passion, place, time) peter out inconsequentially [Benardete,JA on Aristotle] |
16116 | Aristotle derived categories as answers to basic questions about nature, size, quality, location etc. [Aristotle, by Gill,ML] |
21345 | Aristotle said relations are not substances, so (if they exist) they must be accidents [Aristotle, by Heil] |
16155 | Aristotle promoted the importance of properties and objects (rather than general and particular) [Aristotle, by Frede,M] |
11032 | Some things said 'of' a subject are not 'in' the subject [Aristotle] |
11038 | We call them secondary 'substances' because they reveal the primary substances [Aristotle] |
16739 | Four species of quality: states, capacities, affects, and forms [Aristotle, by Pasnau] |
11037 | Colour must be in an individual body, or it is not embodied [Aristotle] |
16154 | Aristotle gave up his earlier notion of individuals, because it relied on universals [Aristotle, by Frede,M] |
12351 | Genus and species are substances, because only they reveal the primary substance [Aristotle, by Wedin] |
11040 | A single substance can receive contrary properties [Aristotle] |
1694 | Substances have no opposites, and don't come in degrees (including if the substance is a man) [Aristotle] |
16091 | Is primary substance just an ultimate subject, or some aspect of a complex body? [Aristotle, by Gill,ML] |
11280 | Primary being is 'that which lies under', or 'particular substance' [Aristotle, by Politis] |
16140 | Secondary substances do have subjects, so they are not ultimate in the ontology [Aristotle, by Frede,M] |
10965 | In earlier Aristotle the substances were particulars, not kinds [Aristotle, by Lawson-Tancred] |
11036 | A 'primary' substance is in each subject, with species or genera as 'secondary' substances [Aristotle] |
8287 | Earlier Aristotle had objects as primary substances, but later he switched to substantial form [Aristotle, by Lowe] |
12350 | Things are called 'substances' because they are subjects for everything else [Aristotle] |
11039 | A primary substance reveals a 'this', which is an individual unit [Aristotle] |
12361 | Primary substances are ontological in 'Categories', and explanatory in 'Metaphysics' [Aristotle, by Wedin] |
3315 | Aristotle denigrates the category of relation, but for modern absolutists self-relation is basic [Benardete,JA on Aristotle] |
7628 | Broad rejects the inferential component of the representative theory [Broad, by Maund] |
9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
12349 | Only what can be said of many things is a predicable [Aristotle, by Wedin] |
11837 | Some predicates signify qualification of a substance, others the substance itself [Aristotle] |
11043 | It is not possible for fire to be cold or snow black [Aristotle] |
1696 | Change goes from possession to loss (as in baldness), but not the other way round [Aristotle] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |