28 ideas
19100 | Truth makes disagreements matter, or worth settling [Misak] |
19108 | Truth is proper assertion, but that has varying standards [Misak] |
19094 | For pragmatists the loftiest idea of truth is just a feature of what remains forever assertible [Misak] |
19099 | 'True' is used for emphasis, clarity, assertion, comparison, objectivity, meaning, negation, consequence... [Misak] |
19103 | 'That's true' doesn't just refer back to a sentence, but implies sustained evidence for it [Misak] |
19105 | Truth isn't a grand elusive property, if it is just the aim of our assertions and inquiries [Misak] |
19101 | Disquotation is bivalent [Misak] |
19096 | Disquotationalism resembles a telephone directory [Misak] |
19106 | Disquotations says truth is assertion, and assertion proclaims truth - but what is 'assertion'? [Misak] |
19098 | Deflating the correspondence theory doesn't entail deflating all the other theories [Misak] |
19104 | Deflationism isn't a theory of truth, but an account of its role in natural language [Misak] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
19109 | The anti-realism debate concerns whether indefeasibility is a plausible aim of inquiry [Misak] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
14470 | Explanatory exclusion: there cannot be two separate complete explanations of a single event [Kim] |