103 ideas
3807 | Reason is and ought to be the slave of the passions [Hume] |
10170 | While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price] |
10166 | ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price] |
10175 | Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price] |
10165 | 'Analysis' is the theory of the real numbers [Reck/Price] |
10174 | Mereological arithmetic needs infinite objects, and function definitions [Reck/Price] |
10164 | Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price] |
8649 | Two numbers are equal if all of their units correspond to one another [Hume] |
10172 | Set-theory gives a unified and an explicit basis for mathematics [Reck/Price] |
10167 | Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price] |
10169 | Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price] |
10179 | There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price] |
10181 | Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price] |
10182 | There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price] |
10168 | Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price] |
10178 | Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price] |
10176 | Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price] |
10177 | Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price] |
10171 | The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price] |
21291 | There is no medium state between existence and non-existence [Hume] |
11942 | Power is the possibility of action, as discovered by experience [Hume] |
11949 | There may well be powers in things, with which we are quite unacquainted [Hume] |
11950 | We have no idea of powers, because we have no impressions of them [Hume] |
11941 | The distinction between a power and its exercise is entirely frivolous [Hume] |
11098 | Momentary impressions are wrongly identified with one another on the basis of resemblance [Hume, by Quine] |
7954 | If we see a resemblance among objects, we apply the same name to them, despite their differences [Hume] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
21293 | Individuation is only seeing that a thing is stable and continuous over time [Hume] |
12048 | The only meaning we have for substance is a collection of qualities [Hume] |
13424 | Aristotelians propose accidents supported by substance, but they don't understand either of them [Hume] |
21299 | Changing a part can change the whole, not absolutely, but by its proportion of the whole [Hume] |
21300 | A change more obviously destroys an identity if it is quick and observed [Hume] |
1321 | If identity survives change or interruption, then resemblance, contiguity or causation must unite the parts of it [Hume] |
1330 | If a republic can retain identity through many changes, so can an individual [Hume] |
21302 | If a ruined church is rebuilt, its relation to its parish makes it the same church [Hume] |
21303 | We accept the identity of a river through change, because it is the river's nature [Hume] |
21301 | The purpose of the ship makes it the same one through all variations [Hume] |
21290 | Multiple objects cannot convey identity, because we see them as different [Hume] |
1207 | Both number and unity are incompatible with the relation of identity [Hume] |
21289 | 'An object is the same with itself' is meaningless; it expresses unity, not identity [Hume] |
21292 | Saying an object is the same with itself is only meaningful over a period of time [Hume] |
9428 | Nothing we clearly imagine is absolutely impossible [Hume] |
4766 | Necessity only exists in the mind, and not in objects [Hume] |
6526 | Hume says objects are not a construction, but an imaginative leap [Hume, by Robinson,H] |
6489 | Associationism results from having to explain intentionality just with sense-data [Robinson,H on Hume] |
6182 | Even Hume didn't include mathematics in his empiricism [Hume, by Kant] |
12417 | Mathematicians only accept their own proofs when everyone confims them [Hume] |
5548 | Hume became a total sceptic, because he believed that reason was a deception [Hume, by Kant] |
7446 | The idea of inductive evidence, around 1660, made Hume's problem possible [Hume, by Hacking] |
21806 | Memory, senses and understanding are all founded on the imagination [Hume] |
3819 | Hume's 'bundle' won't distinguish one mind with ten experiences from ten minds [Searle on Hume] |
1317 | A person is just a fast-moving bundle of perceptions [Hume] |
1331 | The parts of a person are always linked together by causation [Hume] |
1388 | Hume gives us an interesting sketchy causal theory of personal identity [Perry on Hume] |
21297 | A person is simply a bundle of continually fluctuating perceptions [Hume] |
1316 | Introspection always discovers perceptions, and never a Self without perceptions [Hume] |
1333 | Memory only reveals personal identity, by showing cause and effect [Hume] |
1332 | We use memory to infer personal actions we have since forgotten [Hume] |
21305 | Memory not only reveals identity, but creates it, by producing resemblances [Hume] |
21307 | Who thinks that because you have forgotten an incident you are no longer that person? [Hume] |
21306 | Causation unites our perceptions, by producing, destroying and modifying each other [Hume] |
21294 | A continuous lifelong self must be justified by a single sustained impression, which we don't have [Hume] |
21295 | When I introspect I can only observe my perceptions, and never a self which has them [Hume] |
21298 | We pretend our perceptions are continuous, and imagine a self to fill the gaps [Hume] |
21304 | Identity in the mind is a fiction, like that fiction that plants and animals stay the same [Hume] |
20030 | If one event causes another, the two events must be wholly distinct [Hume, by Wilson/Schpall] |
6692 | For Hume, practical reason has little force, because we can always modify our desires [Hume, by Graham] |
8257 | Reason alone can never be a motive to any action of the will [Hume] |
22374 | You can only hold people responsible for actions which arise out of their character [Hume] |
7222 | It is a crime for someone with a violent disposition to get drunk [Mill] |
22382 | We cannot discover vice by studying a wilful murder; that only arises from our own feelings [Hume] |
4008 | Modern science has destroyed the Platonic synthesis of scientific explanation and morality [Hume, by Taylor,C] |
8067 | The problem of getting to 'ought' from 'is' would also apply in getting to 'owes' or 'needs' [Anscombe on Hume] |
4578 | You can't move from 'is' to 'ought' without giving some explanation or reason for the deduction [Hume] |
3650 | Total selfishness is not irrational [Hume] |
7214 | Ethics rests on utility, which is the permanent progressive interests of people [Mill] |
7212 | Individuals have sovereignty over their own bodies and minds [Mill] |
7210 | The will of the people is that of the largest or most active part of the people [Mill] |
7227 | It is evil to give a government any more power than is necessary [Mill] |
7228 | Individuals often do things better than governments [Mill] |
7230 | Aim for the maximum dissemination of power consistent with efficiency [Mill] |
20515 | Maximise happiness by an area of strict privacy, and an area of utilitarian interventions [Mill, by Wolff,J] |
7229 | People who transact their own business will also have the initiative to control their government [Mill] |
7211 | Prevention of harm to others is the only justification for exercising power over people [Mill] |
7231 | The worth of a State, in the long run, is the worth of the individuals composing it [Mill] |
7217 | The main argument for freedom is that interference with it is usually misguided [Mill] |
7213 | Liberty arises at the point where people can freely and equally discuss things [Mill] |
20516 | Mill defends freedom as increasing happiness, but maybe it is an intrinsic good [Wolff,J on Mill] |
20517 | Utilitarianism values liberty, but guides us on which ones we should have or not have [Mill, by Wolff,J] |
7215 | True freedom is pursuing our own good, while not impeding others [Mill] |
7220 | Restraint for its own sake is an evil [Mill] |
7218 | Individuals are not accountable for actions which only concern themselves [Mill] |
7221 | Blocking entry to an unsafe bridge does not infringe liberty, since no one wants unsafe bridges [Mill] |
7223 | Pimping and running a gambling-house are on the border between toleration and restraint [Mill] |
7219 | Society can punish actions which it believes to be prejudicial to others [Mill] |
7226 | Benefits performed by individuals, not by government, help also to educate them [Mill] |
7224 | We need individual opinions and conduct, and State education is a means to prevent that [Mill] |
7225 | It is a crime to create a being who lacks the ordinary chances of a desirable existence [Mill] |
14301 | We have no good concept of solidity or matter, because accounts of them are all circular [Hume] |
8382 | For Hume a constant conjunction is both necessary and sufficient for causation [Hume, by Crane] |
19274 | Hume seems to presuppose necessary connections between mental events [Kripke on Hume] |
7216 | The ethics of the Gospel has been supplemented by barbarous Old Testament values [Mill] |
21296 | If all of my perceptions were removed by death, nothing more is needed for total annihilation [Hume] |