36 ideas
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] |
4568 | If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE] |
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] |
18211 | You can reduce ontological commitment by expanding the logic [Field,H] |
4574 | If some peoples do not have categories like time or cause, they can't be essential features of rationality [Cooper,DE] |
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] |
4573 | If it is claimed that language correlates with culture, we must be able to identify the two independently [Cooper,DE] |
4575 | A person's language doesn't prove their concepts, but how are concepts deduced apart from language? [Cooper,DE] |
18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
4561 | Many sentences set up dispositions which are irrelevant to the meanings of the sentences [Cooper,DE] |
9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
4564 | I can meaningfully speculate that humans may have experiences currently impossible for us [Cooper,DE] |
4565 | The verification principle itself seems neither analytic nor verifiable [Cooper,DE] |
4563 | 'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE] |
4562 | Most people know how to use the word "Amen", but they do not know what it means [Cooper,DE] |
4571 | Reference need not be a hit-or-miss affair [Cooper,DE] |
4566 | Any thesis about reference is also a thesis about what exists to be referred to [Cooper,DE] |
4572 | If predicates name things, that reduces every sentence to a mere list of names [Cooper,DE] |
4576 | An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
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] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |