76 ideas
13734 | Modern Quinean metaphysics is about what exists, but Aristotelian metaphysics asks about grounding [Schaffer,J] |
13751 | If you tore the metaphysics out of philosophy, the whole enterprise would collapse [Schaffer,J] |
14600 | Analysis aims at secure necessary and sufficient conditions [Schaffer,J] |
13743 | We should not multiply basic entities, but we can have as many derivative entities as we like [Schaffer,J] |
10476 | The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W] |
14603 | 'Reification' occurs if we mistake a concept for a thing [Schaffer,J] |
14607 | T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J] |
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
10478 | Since first-order languages are complete, |= and |- have the same meaning [Hodges,W] |
10477 | |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W] |
10373 | Logical form can't dictate metaphysics, as it may propose an undesirable property [Schaffer,J] |
10283 | A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W] |
10284 | There are three different standard presentations of semantics [Hodges,W] |
10285 | I |= φ means that the formula φ is true in the interpretation I [Hodges,W] |
10474 | |= should be read as 'is a model for' or 'satisfies' [Hodges,W] |
10473 | Model theory studies formal or natural language-interpretation using set-theory [Hodges,W] |
10475 | A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W] |
10481 | Models in model theory are structures, not sets of descriptions [Hodges,W] |
10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W] |
10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W] |
10287 | If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W] |
10480 | First-order logic can't discriminate between one infinite cardinal and another [Hodges,W] |
10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
13741 | If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J] |
14604 | If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J] |
13748 | Grounding is unanalysable and primitive, and is the basic structuring concept in metaphysics [Schaffer,J] |
17304 | As causation links across time, grounding links the world across levels [Schaffer,J] |
17306 | If ground is transitive and irreflexive, it has a strict partial ordering, giving structure [Schaffer,J] |
14599 | Three types of reduction: Theoretical (of terms), Definitional (of concepts), Ontological (of reality) [Schaffer,J] |
13747 | Supervenience is just modal correlation [Schaffer,J] |
13744 | The cosmos is the only fundamental entity, from which all else exists by abstraction [Schaffer,J] |
10367 | There is only one fact - the True [Schaffer,J] |
13739 | Maybe categories are just the different ways that things depend on basic substances [Schaffer,J] |
14605 | Tropes are the same as events [Schaffer,J] |
14601 | Individuation aims to count entities, by saying when there is one [Schaffer,J] |
14082 | No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J] |
13742 | There exist heaps with no integral unity, so we should accept arbitrary composites in the same way [Schaffer,J] |
13752 | The notion of 'grounding' can explain integrated wholes in a way that mere aggregates can't [Schaffer,J] |
14081 | Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J] |
14606 | Only ideal conceivability could indicate what is possible [Schaffer,J] |
13749 | Belief in impossible worlds may require dialetheism [Schaffer,J] |
13740 | 'Moorean certainties' are more credible than any sceptical argument [Schaffer,J] |
17308 | Explaining 'Adam ate the apple' depends on emphasis, and thus implies a contrast [Schaffer,J] |
2848 | Two people might agree in their emotional moral attitude while disagreeing in their judgement [Brink] |
2851 | Emotivists find it hard to analyse assertions of moral principles, rather than actual judgements [Brink] |
2853 | Emotivists claim to explain moral motivation by basing morality on non-cognitive attitudes [Brink] |
2852 | Emotivists tend to favour a redundancy theory of truth, making moral judgement meaningless [Brink] |
2849 | Emotivism implies relativism about moral meanings, but critics say disagreements are about moral reference [Brink] |
2850 | How can emotivists explain someone who recognises morality but is indifferent to it? [Brink] |
17305 | I take what is fundamental to be the whole spatiotemporal manifold and its fields [Schaffer,J] |
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] |
17307 | Nowadays causation is usually understood in terms of equations and variable ranges [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] |
10387 | The notion of causation allows understanding of science, without appearing in equations [Schaffer,J] |
10388 | Causation is utterly essential for numerous philosophical explanations [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] |