56 ideas
8605 | In addition to analysis of a concept, one can deny it, or accept it as primitive [Lewis] |
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] |
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] |
8607 | Supervenience is reduction without existence denials, ontological priorities, or translatability [Lewis] |
8606 | A supervenience thesis is a denial of independent variation [Lewis] |
8580 | Materialism is (roughly) that two worlds cannot differ without differing physically [Lewis] |
8571 | Universals are wholly present in their instances, whereas properties are spread around [Lewis] |
10717 | Natural properties figure in the analysis of similarity in intrinsic respects [Lewis, by Oliver] |
16217 | Lewisian natural properties fix reference of predicates, through a principle of charity [Lewis, by Hawley] |
8613 | Objects are demarcated by density and chemistry, and natural properties belong in what is well demarcated [Lewis] |
8585 | Reference partly concerns thought and language, partly eligibility of referent by natural properties [Lewis] |
8586 | Natural properties tend to belong to well-demarcated things, typically loci of causal chains [Lewis] |
8589 | For us, a property being natural is just an aspect of its featuring in the contents of our attitudes [Lewis] |
15460 | All perfectly natural properties are intrinsic [Lewis, by Lewis] |
15726 | Natural properties fix resemblance and powers, and are picked out by universals [Lewis] |
7031 | Lewis says properties are sets of actual and possible objects [Lewis, by Heil] |
8572 | Any class of things is a property, no matter how whimsical or irrelevant [Lewis] |
18433 | There are far more properties than any brain could ever encodify [Lewis] |
8604 | We need properties as semantic values for linguistic expressions [Lewis] |
14499 | Properties are classes of possible and actual concrete particulars [Lewis, by Koslicki] |
15120 | Lewisian properties have powers because of their relationships to other properties [Lewis, by Hawthorne] |
8573 | Most properties are causally irrelevant, and we can't spot the relevant ones. [Lewis] |
8569 | I suspend judgements about universals, but their work must be done [Lewis] |
21961 | Physics aims to discover which universals actually exist [Lewis, by Moore,AW] |
8576 | The One over Many problem (in predication terms) deserves to be neglected (by ostriches) [Lewis] |
8570 | To have a property is to be a member of a class, usually a class of things [Lewis] |
8574 | Class Nominalism and Resemblance Nominalism are pretty much the same [Lewis] |
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] |
8579 | Psychophysical identity implies the possibility of idealism or panpsychism [Lewis] |
8614 | A sophisticated principle of charity sometimes imputes error as well as truth [Lewis] |
8615 | We need natural properties in order to motivate the principle of charity [Lewis] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
8608 | Counterfactuals 'backtrack' if a different present implies a different past [Lewis] |
8584 | Causal counterfactuals must avoid backtracking, to avoid epiphenomena and preemption [Lewis] |
8581 | Physics discovers laws and causal explanations, and also the natural properties required [Lewis] |
15727 | Physics aims for a list of natural properties [Lewis] |
8611 | A law of nature is any regularity that earns inclusion in the ideal system [Lewis] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |