49 ideas
22611 | Metaphysics can criticise interpretations of science theories, and give good feedback [Ingthorsson] |
10476 | The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W] |
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] |
22609 | Philosophers accepted first-order logic, because they took science to be descriptive, not explanatory [Ingthorsson] |
10477 | |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W] |
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] |
22629 | Basic processes are said to be either physical, or organic, or psychological [Ingthorsson] |
22633 | Indirect realists are cautious about the manifest image, and prefer the scientific image [Ingthorsson] |
22606 | Neo-Humeans say there are no substantial connections between anything [Ingthorsson] |
22631 | Properties are said to be categorical qualities or non-qualitative dispositions [Ingthorsson] |
22632 | Physics understands the charge of an electron as a power, not as a quality [Ingthorsson] |
22627 | Compound objects are processes, insofar as change is essential to them [Ingthorsson] |
22613 | Most materialist views postulate smallest indivisible components which are permanent [Ingthorsson] |
22612 | Endurance and perdurance just show the consequences of A or B series time [Ingthorsson] |
22625 | Science suggests causal aspects of the constitution and persistance of objects [Ingthorsson] |
22620 | If causation involves production, that needs persisting objects [Ingthorsson] |
22636 | Every philosophical theory must be true in some possible world, so the ontology is hopeless [Ingthorsson] |
22638 | Worlds may differ in various respects, but no overall similarity of worlds is implied [Ingthorsson] |
3061 | Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius] |
22605 | Humeans describe the surface of causation, while powers accounts aim at deeper explanations [Ingthorsson] |
22607 | Time and space are not causal, but they determine natural phenomena [Ingthorsson] |
22608 | Casuation is the transmission of conserved quantities between causal processes [Ingthorsson] |
22621 | Causation as transfer only works for asymmetric interactions [Ingthorsson] |
22614 | Interventionist causal theory says it gets a reliable result whenever you manipulate it [Ingthorsson] |
22639 | Causal events are always reciprocal, and there is no distinction of action and reaction [Ingthorsson] |
22615 | One effect cannot act on a second effect in causation, because the second doesn't yet exist [Ingthorsson] |
22616 | Empiricists preferred events to objects as the relata, because they have observable motions [Ingthorsson] |
22617 | Science now says all actions are reciprocal, not unidirectional [Ingthorsson] |
22619 | Causes are not agents; the whole interaction is the cause, and the changed compound is the effect [Ingthorsson] |
22635 | People only accept the counterfactual when they know the underlying cause [Ingthorsson] |
22634 | Counterfactuals don't explain causation, but causation can explain counterfactuals [Ingthorsson] |
22637 | Counterfactual theories are false in possible worlds where causation is actual [Ingthorsson] |
22624 | A cause can fail to produce its normal effect, by prevention, pre-emption, finks or antidotes [Ingthorsson] |
22622 | Any process can go backwards or forwards in time without violating the basic laws of physics [Ingthorsson] |
22618 | In modern physics the first and second laws of motion (unlike the third) fail at extremes [Ingthorsson] |
22630 | If particles have decay rates, they can't really be elementary, in the sense of indivisible [Ingthorsson] |
22610 | It is difficult to handle presentism in first-order logic [Ingthorsson] |