64 ideas
8605 | In addition to analysis of a concept, one can deny it, or accept it as primitive [Lewis] |
9570 | In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara] |
10260 | Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro] |
8958 | In Field's version of science, space-time points replace real numbers [Field,H, by Szabó] |
18221 | 'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H] |
8757 | The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H] |
18212 | Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H] |
10261 | The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro] |
18218 | Hilbert explains geometry, by non-numerical facts about space [Field,H] |
9623 | Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H] |
18215 | It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H] |
18216 | Abstractions can form useful counterparts to concrete statements [Field,H] |
18214 | Mathematics is only empirical as regards which theory is useful [Field,H] |
18210 | Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H] |
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] |
18211 | You can reduce ontological commitment by expanding the logic [Field,H] |
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] |
8959 | Field presumes properties can be eliminated from science [Field,H, by Szabó] |
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] |
18213 | Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H] |
18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
8579 | Psychophysical identity implies the possibility of idealism or panpsychism [Lewis] |
9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
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] |
2705 | How can intuitionists distinguish universal convictions from local cultural ones? [Hare] |
2712 | You can't use intuitions to decide which intuitions you should cultivate [Hare] |
2706 | Emotivists mistakenly think all disagreements are about facts, and so there are no moral reasons [Hare] |
2709 | Prescriptivism sees 'ought' statements as imperatives which are universalisable [Hare] |
2704 | If morality is just a natural or intuitive description, that leads to relativism [Hare] |
2703 | Descriptivism say ethical meaning is just truth-conditions; prescriptivism adds an evaluation [Hare] |
2707 | If there can be contradictory prescriptions, then reasoning must be involved [Hare] |
2708 | An 'ought' statement implies universal application [Hare] |
2711 | Prescriptivism implies a commitment, but descriptivism doesn't [Hare] |
2710 | Moral judgements must invoke some sort of principle [Hare] |
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] |
18223 | In theories of fields, space-time points or regions are causal agents [Field,H] |
18220 | Both philosophy and physics now make substantivalism more attractive [Field,H] |
18219 | Relational space is problematic if you take the idea of a field seriously [Field,H] |