26 ideas
| 18928 | If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron] |
| 18931 | Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron] |
| 18932 | The facts about the existence of truthmakers can't have a further explanation [Cameron] |
| 18923 | The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron] |
| 18926 | One temporal distibution property grounds our present and past truths [Cameron] |
| 18929 | We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron] |
| 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] |
| 18924 | Being polka-dotted is a 'spatial distribution' property [Cameron] |
| 18930 | Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 1757 | The Electra: she knows this man, but not that he is her brother [Eucleides, by Diog. Laertius] |
| 3028 | The chief good is unity, sometimes seen as prudence, or God, or intellect [Eucleides] |
| 18927 | Surely if things extend over time, then time itself must be extended? [Cameron] |