44 ideas
6575 | Philosophy may never find foundations, and may undermine our lives in the process [Fogelin] |
6585 | Rationality is threatened by fear of inconsistency, illusions of absolutes or relativism, and doubt [Fogelin] |
6557 | Humans may never be able to attain a world view which is both rich and consistent [Fogelin] |
6568 | A game can be played, despite having inconsistent rules [Fogelin] |
6560 | The law of noncontradiction is traditionally the most basic principle of rationality [Fogelin] |
6565 | The law of noncontradiction makes the distinction between asserting something and denying it [Fogelin] |
6574 | Legal reasoning is analogical, not deductive [Fogelin] |
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] |
6582 | Conventions can only work if they are based on something non-conventional [Fogelin] |
6576 | My view is 'circumspect rationalism' - that only our intellect can comprehend the world [Fogelin] |
6589 | Knowledge is legitimate only if all relevant defeaters have been eliminated [Fogelin] |
6596 | For coherentists, circularity is acceptable if the circle is large, rich and coherent [Fogelin] |
6597 | A rule of justification might be: don't raise the level of scrutiny without a good reason [Fogelin] |
6588 | Scepticism is cartesian (sceptical scenarios), or Humean (future), or Pyrrhonian (suspend belief) [Fogelin] |
6590 | Scepticism deals in remote possibilities that are ineliminable and set the standard very high [Fogelin] |
6583 | Radical perspectivism replaces Kant's necessary scheme with many different schemes [Fogelin] |
18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
6555 | We are also irrational, with a unique ability to believe in bizarre self-created fictions [Fogelin] |
9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
6605 | Critics must be causally entangled with their subject matter [Fogelin] |
6607 | The word 'beautiful', when deprived of context, is nearly contentless [Fogelin] |
6604 | Saying 'It's all a matter to taste' ignores the properties of the object discussed [Fogelin] |
6586 | Cynics are committed to morality, but disappointed or disgusted by human failings [Fogelin] |
21994 | The handmill gives feudalism, the steam mill capitalism [Marx] |
6572 | Deterrence, prevention, rehabilitation and retribution can come into conflict in punishments [Fogelin] |
6573 | Retributivists say a crime can be 'paid for'; deterrentists still worry about potential victims [Fogelin] |
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] |