41 ideas
| 9570 | In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara] |
| 21122 | Liberal Nationalism says welfare states and democracy needed a shared sense of nationality [Shorten] |
| 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] |
| 17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
| 17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
| 18213 | Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H] |
| 17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |
| 18222 | Beneath every extrinsic explanation there is an intrinsic explanation [Field,H] |
| 9917 | 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H] |
| 21136 | Utilitarians conflate acts and omissions; causing to drown and failing to save are the same [Shorten] |
| 21135 | There are eight different ways in which groups of people can be oppressed [Shorten, by PG] |
| 21118 | Constitutional Patriotism unites around political values (rather than national identity) [Shorten] |
| 21129 | Democracy is a method of selection, or it involves participation, or it concerns public discussion [Shorten] |
| 21130 | Some say democracy is intrinsically valuable, others that it delivers good outcomes [Shorten] |
| 21126 | Representative should be either obedient, or sensible, or typical [Shorten] |
| 21128 | There is 'mirror representation' when the institution statistically reflects the population [Shorten] |
| 21127 | In a changed situation a Mandated Representative can't keep promises and fight for constituents [Shorten] |
| 21117 | Liberal citizens have a moral requirement to respect freedom and equality [Shorten] |
| 21134 | Maybe the rational autonomous liberal individual is merely the result of domination [Shorten] |
| 21113 | Liberal equality concerns rights, and liberal freedom concerns choice of ends [Shorten] |
| 21121 | Liberal Nationalism encourages the promotion of nationalistic values [Shorten] |
| 21115 | Liberalism should not make assumptions such as the value of choosing your own life plan [Shorten] |
| 21114 | Liberals treat individuals as mutual strangers, rather than as social beings [Shorten] |
| 21123 | Liberal Nationalism is more communitarian, and Constitutional Patriotism more cosmopolitan [Shorten] |
| 21124 | Religious toleration has been institutionalised by the separation of church and state [Shorten] |
| 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] |