30 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] |
19306 | It is a principle of reasoning not to clutter your mind with trivialities [Harman] |
19304 | The rules of reasoning are not the rules of logic [Harman] |
19307 | If there is a great cost to avoiding inconsistency, we learn to reason our way around it [Harman] |
19309 | Logic has little relevance to reasoning, except when logical conclusions are immediate [Harman] |
19303 | Implication just accumulates conclusions, but inference may also revise our views [Harman] |
10928 | Maybe we can quantify modally if the objects are intensional, but it seems unlikely [Quine] |
10925 | Failure of substitutivity shows that a personal name is not purely referential [Quine] |
10926 | Quantifying into referentially opaque contexts often produces nonsense [Quine] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
10930 | Quantification into modal contexts requires objects to have an essence [Quine] |
14645 | To be necessarily greater than 7 is not a trait of 7, but depends on how 7 is referred to [Quine] |
9201 | Whether 9 is necessarily greater than 7 depends on how '9' is described [Quine, by Fine,K] |
10927 | Necessity only applies to objects if they are distinctively specified [Quine] |
19305 | The Gambler's Fallacy (ten blacks, so red is due) overemphasises the early part of a sequence [Harman] |
19310 | High probability premises need not imply high probability conclusions [Harman] |
9203 | We can't quantify in modal contexts, because the modality depends on descriptions, not objects [Quine, by Fine,K] |
19308 | We strongly desire to believe what is true, even though logic does not require it [Harman] |
19311 | In revision of belief, we need to keep track of justifications for foundations, but not for coherence [Harman] |
19312 | Coherence is intelligible connections, especially one element explaining another [Harman] |
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] |
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] |
644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
375 | When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato] |
554 | Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle] |
10931 | We can't say 'necessarily if x is in water then x dissolves' if we can't quantify modally [Quine] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |