41 ideas
5896 | Speak the truth, for this alone deifies man [Pythagoras, by Porphyry] |
3051 | Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius] |
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] |
12798 | Plurals can in principle be paraphrased away altogether [Quine] |
18758 | Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee] |
17905 | Any progression will do nicely for numbers; they can all then be used to measure multiplicity [Quine] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
9556 | Nearly all of mathematics has to quantify over abstract objects [Quine] |
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] |
15720 | What stays the same in assessing a counterfactual antecedent depends on context [Quine] |
15724 | Counterfactuals have no place in a strict account of science [Quine] |
4630 | Two theories can be internally consistent and match all the facts, yet be inconsistent with one another [Quine, by Baggini /Fosl] |
3131 | Quine expresses the instrumental version of eliminativism [Quine, by Rey] |
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] |
3053 | Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius] |
5244 | For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle] |
375 | When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato] |
638 | Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle] |
553 | Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle] |
554 | Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle] |
644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |