54 ideas
22611 | Metaphysics can criticise interpretations of science theories, and give good feedback [Ingthorsson] |
17926 | Rejecting double negation elimination undermines reductio proofs [Colyvan] |
17925 | Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan] |
22609 | Philosophers accepted first-order logic, because they took science to be descriptive, not explanatory [Ingthorsson] |
17924 | Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan] |
17929 | Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan] |
17930 | Axioms are 'categorical' if all of their models are isomorphic [Colyvan] |
17928 | Ordinal numbers represent order relations [Colyvan] |
17923 | Intuitionists only accept a few safe infinities [Colyvan] |
17941 | Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan] |
17922 | Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan] |
17936 | Transfinite induction moves from all cases, up to the limit ordinal [Colyvan] |
17940 | Most mathematical proofs are using set theory, but without saying so [Colyvan] |
17931 | Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan] |
17932 | If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan] |
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] |
17943 | Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan] |
17939 | Mathematics can reveal structural similarities in diverse systems [Colyvan] |
17938 | Mathematics can show why some surprising events have to occur [Colyvan] |
17934 | Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan] |
17933 | Reductio proofs do not seem to be very explanatory [Colyvan] |
17935 | If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan] |
17942 | Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan] |
17937 | Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
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] |