64 ideas
13860 | We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C] |
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] |
10373 | Logical form can't dictate metaphysics, as it may propose an undesirable property [Schaffer,J] |
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] |
13892 | One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C] |
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] |
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] |
10367 | There is only one fact - the True [Schaffer,J] |
13877 | Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C] |
9878 | Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett] |
13868 | Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C] |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
13866 | A concept is only a sortal if it gives genuine identity [Wright,C] |
13865 | 'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [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] |
17857 | We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C] |
10359 | In causation there are three problems of relata, and three metaphysical problems [Schaffer,J] |
10372 | Causation may not be transitive; the last event may follow from the first, but not be caused by it [Schaffer,J] |
10374 | There are at least ten theories about causal connections [Schaffer,J] |
10366 | Causation transcends nature, because absences can cause things [Schaffer,J] |
10377 | Causation may not be a process, if a crucial part of the process is 'disconnected' [Schaffer,J] |
10378 | A causal process needs to be connected to the effect in the right way [Schaffer,J] |
10382 | Causation can't be a process, because a process needs causation as a primitive [Schaffer,J] |
10375 | At least four rivals have challenged the view that causal direction is time direction [Schaffer,J] |
10389 | Causal order must be temporal, or else causes could be blocked, and time couldn't be explained [Schaffer,J] |
10390 | Causal order is not temporal, because of time travel, and simultanous, joint or backward causes [Schaffer,J] |
10380 | Causation is primitive; it is too intractable and central to be reduced; all explanations require it [Schaffer,J] |
10385 | If causation is just observables, or part of common sense, or vacuous, it can't be primitive [Schaffer,J] |
10388 | Causation is utterly essential for numerous philosophical explanations [Schaffer,J] |
10387 | The notion of causation allows understanding of science, without appearing in equations [Schaffer,J] |
10384 | If two different causes are possible in one set of circumstances, causation is primitive [Schaffer,J] |
10386 | If causation is primitive, it can be experienced in ourselves, or inferred as best explanation [Schaffer,J] |
10361 | Events are fairly course-grained (just saying 'hello'), unlike facts (like saying 'hello' loudly) [Schaffer,J] |
10360 | Causal relata are events - or facts, features, tropes, states, situations or aspects [Schaffer,J] |
10362 | One may defend three or four causal relata, as in 'c causes e rather than e*' [Schaffer,J] |
10368 | If causal relata must be in nature and fine-grained, neither facts nor events will do [Schaffer,J] |
10383 | The relata of causation (such as events) need properties as explanation, which need causation! [Schaffer,J] |
10393 | Our selection of 'the' cause is very predictable, so must have a basis [Schaffer,J] |
10394 | Selecting 'the' cause must have a basis; there is no causation without such a selection [Schaffer,J] |
10376 | The actual cause may make an event less likely than a possible more effective cause [Schaffer,J] |
10381 | All four probability versions of causation may need causation to be primitive [Schaffer,J] |