38 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] |
3750 | "It is true that x" means no more than x [Ramsey] |
13430 | Infinity: there is an infinity of distinguishable individuals [Ramsey] |
13428 | Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey] |
13427 | Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey] |
13334 | Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
6409 | The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling] |
13426 | Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey] |
13425 | Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey] |
8495 | The distinction between particulars and universals is a mistake made because of language [Ramsey] |
8493 | We could make universals collections of particulars, or particulars collections of their qualities [Ramsey] |
8494 | Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact [Ramsey] |
13766 | 'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey] |
10993 | Ramsey's Test: believe the consequent if you believe the antecedent [Ramsey, by Read] |
14279 | Asking 'If p, will q?' when p is uncertain, then first add p hypothetically to your knowledge [Ramsey] |
3212 | Beliefs are maps by which we steer [Ramsey] |
22328 | I just confront the evidence, and let it act on me [Ramsey] |
22325 | A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey] |
19724 | Belief is knowledge if it is true, certain, and obtained by a reliable process [Ramsey] |
6894 | Mental terms can be replaced in a sentence by a variable and an existential quantifier [Ramsey] |
19143 | Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson] |
18818 | Sentence meaning is given by the actions to which it would lead [Ramsey] |
3053 | Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius] |
6012 | We must choose in which of the virtues we wish to excel [Panaetius] |
6013 | Panaetius said we should live according to our natural starting-points [Panaetius, by Asmis] |
5244 | For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle] |
6014 | Panaetius identified courage with great-mindedness, preferring civic courage to military [Panaetius, by Asmis] |
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] |
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] |
9420 | Causal laws result from the simplest axioms of a complete deductive system [Ramsey] |
9418 | All knowledge needs systematizing, and the axioms would be the laws of nature [Ramsey] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |
5888 | Souls are born, since they are sensitive and inherited, so they must perish [Panaetius, by Cicero] |