31 ideas
8349 | The best way to do ontology is to make sense of our normal talk [Davidson] |
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] |
8348 | If we don't assume that events exist, we cannot make sense of our common talk [Davidson] |
18211 | You can reduce ontological commitment by expanding the logic [Field,H] |
8959 | Field presumes properties can be eliminated from science [Field,H, by Szabó] |
18213 | Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H] |
8347 | Explanations typically relate statements, not events [Davidson] |
18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
7906 | When the Buddha reached the highest level of insight, he could detect no self in the world [Ashvaghosha] |
9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
10371 | Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J] |
8403 | Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson] |
8346 | Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson] |
4778 | A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos] |
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] |
7905 | The Buddha sought ultimate reality and the final goal of existence in his meditations [Ashvaghosha] |
7904 | The first stage of trance is calm amidst applied and discursive thinking [Ashvaghosha] |