89 ideas
15447 | We shouldn't always follow where the argument leads! [Lewis on Plato] |
243 | It is foolish to quarrel with the mind's own reasoning processes [Plato] |
241 | We ought to follow where the argument leads us [Plato] |
21264 | Mortals are incapable of being fully rational [Plato] |
251 | Truth has the supreme value, for both gods and men [Plato] |
21616 | Truth and falsity apply to suppositions as well as to assertions [Williamson] |
21623 | True and false are not symmetrical; false is more complex, involving negation [Williamson] |
21602 | Many-valued logics don't solve vagueness; its presence at the meta-level is ignored [Williamson] |
21611 | Formal semantics defines validity as truth preserved in every model [Williamson] |
21606 | 'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false [Williamson] |
21605 | Excluded Middle is 'A or not A' in the object language [Williamson] |
21612 | Or-elimination is 'Argument by Cases'; it shows how to derive C from 'A or B' [Williamson] |
21599 | A sorites stops when it collides with an opposite sorites [Williamson] |
21601 | A vague term can refer to very precise elements [Williamson] |
21596 | Vagueness undermines the stable references needed by logic [Williamson] |
21589 | When bivalence is rejected because of vagueness, we lose classical logic [Williamson] |
21629 | Equally fuzzy objects can be identical, so fuzziness doesn't entail vagueness [Williamson] |
21591 | Vagueness is epistemic. Statements are true or false, but we often don't know which [Williamson] |
21619 | If a heap has a real boundary, omniscient speakers would agree where it is [Williamson] |
21620 | The epistemic view says that the essence of vagueness is ignorance [Williamson] |
21622 | If there is a true borderline of which we are ignorant, this drives a wedge between meaning and use [Williamson] |
9120 | Vagueness in a concept is its indiscriminability from other possible concepts [Williamson] |
21625 | The vagueness of 'heap' can remain even when the context is fixed [Williamson] |
21614 | The 'nihilist' view of vagueness says that 'heap' is not a legitimate concept [Williamson] |
21617 | We can say propositions are bivalent, but vague utterances don't express a proposition [Williamson] |
21618 | If the vague 'TW is thin' says nothing, what does 'TW is thin if his perfect twin is thin' say? [Williamson] |
21590 | Asking when someone is 'clearly' old is higher-order vagueness [Williamson] |
21592 | Supervaluation keeps classical logic, but changes the truth in classical semantics [Williamson] |
21603 | You can't give a precise description of a language which is intrinsically vague [Williamson] |
21604 | Supervaluation assigns truth when all the facts are respected [Williamson] |
21607 | Supervaluation has excluded middle but not bivalence; 'A or not-A' is true, even when A is undecided [Williamson] |
21608 | Truth-functionality for compound statements fails in supervaluation [Williamson] |
21609 | Supervaluationism defines 'supertruth', but neglects it when defining 'valid' [Williamson] |
21610 | Supervaluation adds a 'definitely' operator to classical logic [Williamson] |
21613 | Supervaluationism cannot eliminate higher-order vagueness [Williamson] |
21633 | Nominalists suspect that properties etc are our projections, and could have been different [Williamson] |
21630 | If fuzzy edges are fine, then why not fuzzy temporal, modal or mereological boundaries? [Williamson] |
21259 | To grasp a thing we need its name, its definition, and what it really is [Plato] |
21632 | A river is not just event; it needs actual and counterfactual boundaries [Williamson] |
21621 | We can't infer metaphysical necessities to be a priori knowable - or indeed knowable in any way [Williamson] |
21627 | We have inexact knowledge when we include margins of error [Williamson] |
21626 | Knowing you know (KK) is usually denied if the knowledge concept is missing, or not considered [Williamson] |
21260 | Soul is what is defined by 'self-generating motion' [Plato] |
276 | My individuality is my soul, which carries my body around [Plato] |
21631 | To know, believe, hope or fear, one must grasp the thought, but not when you fail to do them [Williamson] |
21600 | 'Blue' is not a family resemblance, because all the blues resemble in some respect [Williamson] |
21615 | References to the 'greatest prime number' have no reference, but are meaningful [Williamson] |
18038 | The 't' and 'f' of formal semantics has no philosophical interest, and may not refer to true and false [Williamson] |
21624 | It is known that there is a cognitive loss in identifying propositions with possible worlds [Williamson] |
249 | People who value beauty above virtue insult the soul by placing the body above it [Plato] |
265 | An action is only just if it is performed by someone with a just character and outlook [Plato] |
269 | Attempted murder is like real murder, but we should respect the luck which avoided total ruin [Plato] |
5049 | Intelligent pleasure is the perception of beauty, order and perfection [Leibniz] |
240 | It would be strange if the gods rewarded those who experienced the most pleasure in life [Plato] |
264 | The conquest of pleasure is the noblest victory of all [Plato] |
253 | Every crime is the result of excessive self-love [Plato] |
263 | The only worthwhile life is one devoted to physical and moral perfection [Plato] |
4332 | Virtue is a concord of reason and emotion, with pleasure and pain trained to correct ends [Plato] |
248 | A serious desire for moral excellence is very rare indeed [Plato] |
235 | Virtue is the aim of all laws [Plato] |
277 | The Guardians must aim to discover the common element in the four cardinal virtues [Plato] |
254 | Excessive laughter and tears must be avoided [Plato] |
266 | Injustice is the mastery of the soul by bad feelings, even if they do not lead to harm [Plato] |
256 | Virtue and great wealth are incompatible [Plato] |
242 | The best people are produced where there is no excess of wealth or poverty [Plato] |
245 | Totalitarian states destroy friendships and community spirit [Plato] |
239 | Education in virtue produces citizens who are active but obedient [Plato] |
262 | Men and women should qualify equally for honours on merit [Plato] |
1402 | Friendship is impossible between master and slave, even if they are made equal [Plato] |
236 | Sound laws achieve the happiness of those who observe them [Plato] |
259 | Justice is granting the equality which unequals deserve [Plato] |
238 | Children's games should channel their pleasures into adult activity [Plato] |
260 | Control of education is the key office of state, and should go to the best citizen [Plato] |
257 | Mathematics has the widest application of any subject on the curriculum [Plato] |
4331 | Education is channelling a child's feelings into the right course before it understands why [Plato] |
250 | The best way to educate the young is not to rebuke them, but to set a good example [Plato] |
275 | Creation is not for you; you exist for the sake of creation [Plato] |
273 | Movement is transmitted through everything, and it must have started with self-generated motion [Plato] |
5048 | Perfection is simply quantity of reality [Leibniz] |
8004 | In 'The Laws', to obey the law is to be obey god [Plato, by MacIntyre] |
21257 | Self-generating motion is clearly superior to all other kinds of motion [Plato] |
21258 | The only possible beginning for the endless motions of reality is something self-generated [Plato] |
21261 | Self-moving soul has to be the oldest thing there is [Plato] |
274 | Soul must be the cause of all the opposites, such as good and evil or beauty and ugliness [Plato] |
21263 | If all the motions of nature reflect calculations of reason, then the best kind of soul must direct it [Plato] |
278 | If astronomical movements are seen as necessary instead of by divine will, this leads to atheism [Plato] |
21265 | The heavens must be full of gods, controlling nature either externally or from within [Plato] |
21262 | There must be at least two souls controlling the cosmos, one doing good, the other the opposite [Plato] |
5050 | Evil serves a greater good, and pain is necessary for higher pleasure [Leibniz] |