90 ideas
22733 | Epicurus accepted God in his popular works, but not in his writings on nature [Epicurus, by Sext.Empiricus] |
13291 | Slavery to philosophy brings true freedom [Epicurus] |
22758 | Philosophy aims at a happy life, through argument and discussion [Epicurus] |
14523 | We should come to philosophy free from any taint of culture [Epicurus] |
22240 | The aim of medicine is removal of sickness, and philosophy similarly removes our affections [Epicurus] |
6891 | Quine's naturalistic and empirical view is based entirely on first-order logic and set theory [Quine, by Mautner] |
6310 | Enquiry needs a conceptual scheme, so we should retain the best available [Quine] |
1484 | We should say nothing of the whole if our contact is with the parts [Epicurus, by Plutarch] |
2670 | Epicurus despises and laughs at the whole of dialectic [Epicurus, by Cicero] |
21668 | Epicurus rejected excluded middle, because accepting it for events is fatalistic [Epicurus, by Cicero] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
21676 | Epicureans say disjunctions can be true whiile the disjuncts are not true [Epicurus, by Cicero] |
12798 | Plurals can in principle be paraphrased away altogether [Quine] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
17905 | Any progression will do nicely for numbers; they can all then be used to measure multiplicity [Quine] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
9556 | Nearly all of mathematics has to quantify over abstract objects [Quine] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
16462 | The quest for ultimate categories is the quest for a simple clear pattern of notation [Quine] |
15723 | Either dispositions rest on structures, or we keep saying 'all things being equal' [Quine] |
15490 | Explain unmanifested dispositions as structural similarities to objects which have manifested them [Quine, by Martin,CB] |
8504 | Quine aims to deal with properties by the use of eternal open sentences, or classes [Quine, by Devitt] |
8464 | Physical objects in space-time are just events or processes, no matter how disconnected [Quine] |
7924 | The notion of a physical object is by far the most useful one for science [Quine] |
8482 | Mathematicians must be rational but not two-legged, cyclists the opposite. So a mathematical cyclist? [Quine] |
12136 | Cyclist are not actually essentially two-legged [Brody on Quine] |
17594 | We can paraphrase 'x=y' as a sequence of the form 'if Fx then Fy' [Quine] |
15725 | Normal conditionals have a truth-value gap when the antecedent is false. [Quine] |
15722 | Conditionals are pointless if the truth value of the antecedent is known [Quine] |
15719 | We feign belief in counterfactual antecedents, and assess how convincing the consequent is [Quine] |
15721 | Counterfactuals are plausible when dispositions are involved, as they imply structures [Quine] |
15724 | Counterfactuals have no place in a strict account of science [Quine] |
15720 | What stays the same in assessing a counterfactual antecedent depends on context [Quine] |
1823 | We can't seek for things if we have no idea of them [Epicurus, by Diog. Laertius] |
1824 | To name something, you must already have an idea of what it is [Epicurus, by Diog. Laertius] |
5949 | Epicurus says colours are relative to the eye, not intrinsic to bodies [Epicurus, by Plutarch] |
1821 | Sensations cannot be judged, because similar sensations have equal value, and different ones have nothing in common [Epicurus, by Diog. Laertius] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
1820 | The criteria of truth are senses, preconceptions and passions [Epicurus, by Diog. Laertius] |
1822 | Reason can't judge senses, as it is based on them [Epicurus, by Diog. Laertius] |
4549 | Epicurus denied knowledge in order to retain morality or hedonism as the highest values [Nietzsche on Epicurus] |
2668 | Epicurus says if one of a man's senses ever lies, none of his senses should ever be believed [Epicurus, by Cicero] |
1482 | If two people disagree over taste, who is right? [Epicurus, by Plutarch] |
1483 | Bath water is too hot for some, too cold for others [Epicurus, by Plutarch] |
1487 | When entering a dark room it is colourless, but colour gradually appears [Epicurus] |
4630 | Two theories can be internally consistent and match all the facts, yet be inconsistent with one another [Quine, by Baggini /Fosl] |
14526 | The rational soul is in the chest, and the non-rational soul is spread through the body [Epicurus] |
6035 | Soul is made of four stuffs, giving warmth, rest, motion and perception [Epicurus, by Aetius] |
6018 | Epicurus was the first to see the free will problem, and he was a libertarian [Epicurus, by Long/Sedley] |
20922 | Epicurus showed that the swerve can give free motion in the atoms [Epicurus, by Diogenes of Oen.] |
14516 | There is no necessity to live with necessity [Epicurus] |
3131 | Quine expresses the instrumental version of eliminativism [Quine, by Rey] |
1909 | How can pleasure or judgement occur in a heap of atoms? [Sext.Empiricus on Epicurus] |
3988 | Indeterminacy of translation also implies indeterminacy in interpreting people's mental states [Dennett on Quine] |
6311 | The firmer the links between sentences and stimuli, the less translations can diverge [Quine] |
6312 | We can never precisely pin down how to translate the native word 'Gavagai' [Quine] |
6313 | Stimulus synonymy of 'Gavagai' and 'Rabbit' does not even guarantee they are coextensive [Quine] |
6317 | Dispositions to speech behaviour, and actual speech, are never enough to fix any one translation [Quine] |
6315 | We should be suspicious of a translation which implies that a people have very strange beliefs [Quine] |
6314 | Weird translations are always possible, but they improve if we impose our own logic on them [Quine] |
7814 | It was Epicurus who made the question of the will's freedom central to ethics [Epicurus, by Grayling] |
3562 | Fine things are worthless if they give no pleasure [Epicurus] |
1840 | Pleasure is the chief good because it is the most natural, especially for animals [Epicurus, by Diog. Laertius] |
1839 | Pains of the soul are worse than pains of the body, because it feels the past and future [Epicurus, by Diog. Laertius] |
1842 | Pleasures only differ in their duration and the part of the body affected [Epicurus] |
3557 | The end for Epicurus is static pleasure [Epicurus, by Annas] |
1845 | Justice has no independent existence, but arises entirely from keeping contracts [Epicurus] |
1841 | We choose virtue because of pleasure, not for its own sake [Epicurus, by Diog. Laertius] |
1829 | A wise man would be happy even under torture [Epicurus, by Diog. Laertius] |
1843 | Friendship is by far the most important ingredient of a complete and happy life [Epicurus] |
1831 | Wise men should partake of life even if they go blind [Epicurus, by Diog. Laertius] |
12044 | Only Epicurus denied purpose in nature, for the whole world, or for its parts [Epicurus, by Annas] |
20907 | Democritus says atoms have size and shape, and Epicurus added weight [Epicurus, by Ps-Plutarch] |
21669 | Atoms don't swerve by being struck, because they move in parallel, so the swerve is uncaused [Cicero on Epicurus] |
21680 | What causes atomic swerves? Do they draw lots? What decides the size or number of swerves? [Cicero on Epicurus] |
14525 | Stoics say time is incorporeal and self-sufficient; Epicurus says it is a property of properties of things [Epicurus] |
2637 | For Epicureans gods are made of atoms, and are not eternal [Epicurus, by Cicero] |
2633 | Epicurus saw that gods must exist, because nature has imprinted them on human minds [Epicurus, by Cicero] |
2639 | Some say Epicurus only pretended to believe in the gods, so as not to offend Athenians [Epicurus, by Cicero] |
14527 | If god answered prayers we would be destroyed, because we pray for others to suffer [Epicurus] |