79 ideas
13860 | We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C] |
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] |
13883 | The best way to understand a philosophical idea is to defend it [Wright,C] |
10142 | The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K] |
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] |
11033 | Predications of predicates are predications of their subjects [Aristotle] |
9868 | An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett] |
13861 | Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C] |
11044 | One is prior to two, because its existence is implied by two [Aristotle] |
13892 | One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C] |
11042 | Parts of a line join at a point, so it is continuous [Aristotle] |
13867 | Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C] |
17441 | Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck] |
13862 | There are five Peano axioms, which can be expressed informally [Wright,C] |
17853 | Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C] |
17854 | What facts underpin the truths of the Peano axioms? [Wright,C] |
11041 | Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle] |
13894 | Sameness of number is fundamental, not counting, despite children learning that first [Wright,C] |
10140 | We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K] |
8692 | Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend] |
17440 | Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck] |
13893 | It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C] |
13888 | If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C] |
13869 | Number platonism says that natural number is a sortal concept [Wright,C] |
13870 | We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C] |
13873 | Treating numbers adjectivally is treating them as quantifiers [Wright,C] |
13899 | The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C] |
13896 | The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C] |
7804 | Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA] |
13863 | Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C] |
13895 | The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C] |
13884 | The idea that 'exist' has multiple senses is not coherent [Wright,C] |
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] |
8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
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] |
13877 | Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C] |
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] |
9878 | Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett] |
12351 | Genus and species are substances, because only they reveal the primary substance [Aristotle, by Wedin] |
13868 | Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C] |
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] |
11040 | A single substance can receive contrary properties [Aristotle] |
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] |
13865 | 'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C] |
13866 | A concept is only a sortal if it gives genuine identity [Wright,C] |
13890 | Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C] |
13898 | If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C] |
13882 | A milder claim is that understanding requires some evidence of that understanding [Wright,C] |
13885 | If apparent reference can mislead, then so can apparent lack of reference [Wright,C] |
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] |
17857 | We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C] |
10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |
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] |