32 ideas
15585 | Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt] |
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] |
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] |
5806 | Belief is the power of metarepresentation [Dretske] |
5801 | A mouse hearing a piano played does not believe it, because it lacks concepts and understanding [Dretske] |
18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
5802 | Representations are in the head, but their content is not, as stories don't exist in their books [Dretske] |
5809 | Some activities are performed better without consciousness of them [Dretske] |
5808 | Qualia are just the properties objects are represented as having [Dretske] |
5803 | In a representational theory of mind, introspection is displaced perception [Dretske] |
5807 | Introspection is the same as the experience one is introspecting [Dretske] |
5805 | Introspection does not involve looking inwards [Dretske] |
5804 | A representational theory of the mind is an externalist theory of the mind [Dretske] |
5800 | All mental facts are representation, which consists of informational functions [Dretske] |
9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
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] |