33 ideas
22138 | Science rests on scholastic metaphysics, not on Hume, Kant or Carnap [Boulter] |
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] |
22134 | Thoughts are general, but the world isn't, so how can we think accurately? [Boulter] |
18213 | Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H] |
22150 | Logical possibility needs the concepts of the proposition to be adequate [Boulter] |
22139 | Experiments don't just observe; they look to see what interventions change the natural order [Boulter] |
22136 | Science begins with sufficient reason, de-animation, and the importance of nature [Boulter] |
18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
3488 | Freud treats the unconscious as intentional and hence mental [Freud, by Searle] |
22135 | Our concepts can never fully capture reality, but simplification does not falsify [Boulter] |
5689 | Freud and others have shown that we don't know our own beliefs, feelings, motive and attitudes [Freud, by Shoemaker] |
23950 | Freud said passions are pressures of some flowing hydraulic quantity [Freud, by Solomon] |
9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
22152 | Aristotelians accept the analytic-synthetic distinction [Boulter] |
22344 | Freud is pessimistic about human nature; it is ambivalent motive and fantasy, rather than reason [Freud, by Murdoch] |
22156 | The facts about human health are the measure of the values in our lives [Boulter] |
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] |