34 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] |
8166 | Truth is part of semantics, since valid inference preserves truth [Dummett] |
8173 | Language can violate bivalence because of non-referring terms or ill-defined predicates [Dummett] |
8179 | The law of excluded middle is the logical reflection of the principle of bivalence [Dummett] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
18085 | Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy] |
18084 | When successive variable values approach a fixed value, that is its 'limit' [Cauchy] |
8184 | Philosophers should not presume reality, but only invoke it when language requires it [Dummett] |
8185 | We can't make sense of a world not apprehended by a mind [Dummett] |
8163 | Since 'no bird here' and 'no squirrel here' seem the same, we must talk of 'atomic' facts [Dummett] |
8161 | We know we can state facts, with true statements [Dummett] |
8180 | 'That is red or orange' might be considered true, even though 'that is red' and 'that is orange' were not [Dummett] |
8178 | Empirical and a priori knowledge are not distinct, but are extremes of a sliding scale [Dummett] |
8174 | The theories of meaning and understanding are the only routes to an account of thought [Dummett] |
8175 | A theory of thought will include propositional attitudes as well as propositions [Dummett] |
8165 | To 'abstract from' is a logical process, as opposed to the old mental view [Dummett] |
8168 | To know the truth-conditions of a sentence, you must already know the meaning [Dummett] |
8181 | A justificationist theory of meaning leads to the rejection of classical logic [Dummett] |
8182 | Verificationism could be realist, if we imagined the verification by a superhuman power [Dummett] |
8183 | If truths about the past depend on memories and current evidence, the past will change [Dummett] |
8176 | We could only guess the meanings of 'true' and 'false' when sentences were used [Dummett] |
8170 | Sentences are the primary semantic units, because they can say something [Dummett] |
8169 | We can't distinguish a proposition from its content [Dummett] |
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] |
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] |
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] |
644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
8186 | Time is the measure of change, so we can't speak of time before all change [Dummett] |
8167 | If Presentism is correct, we cannot even say that the present changes [Dummett] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |