37 ideas
| 17275 | Realist metaphysics concerns what is real; naive metaphysics concerns natures of things [Fine,K] |
| 17282 | Truths need not always have their source in what exists [Fine,K] |
| 17283 | If the truth-making relation is modal, then modal truths will be grounded in anything [Fine,K] |
| 17286 | Logical consequence is verification by a possible world within a truth-set [Fine,K] |
| 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] |
| 17272 | 2+2=4 is necessary if it is snowing, but not true in virtue of the fact that it is snowing [Fine,K] |
| 17276 | If you say one thing causes another, that leaves open that the 'other' has its own distinct reality [Fine,K] |
| 17284 | An immediate ground is the next lower level, which gives the concept of a hierarchy [Fine,K] |
| 17285 | 'Strict' ground moves down the explanations, but 'weak' ground can move sideways [Fine,K] |
| 17288 | We learn grounding from what is grounded, not what does the grounding [Fine,K] |
| 17281 | If grounding is a relation it must be between entities of the same type, preferably between facts [Fine,K] |
| 17280 | Ground is best understood as a sentence operator, rather than a relation between predicates [Fine,K] |
| 17290 | Only metaphysical grounding must be explained by essence [Fine,K] |
| 17274 | Philosophical explanation is largely by ground (just as cause is used in science) [Fine,K] |
| 17278 | We can only explain how a reduction is possible if we accept the concept of ground [Fine,K] |
| 17287 | Facts, such as redness and roundness of a ball, can be 'fused' into one fact [Fine,K] |
| 17279 | Even a three-dimensionalist might identify temporal parts, in their thinking [Fine,K] |
| 17273 | Each basic modality has its 'own' explanatory relation [Fine,K] |
| 17289 | Every necessary truth is grounded in the nature of something [Fine,K] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 17291 | We explain by identity (what it is), or by truth (how things are) [Fine,K] |
| 17271 | Is there metaphysical explanation (as well as causal), involving a constitutive form of determination? [Fine,K] |
| 17277 | If mind supervenes on the physical, it may also explain the physical (and not vice versa) [Fine,K] |
| 22688 | The Aristotelian idea that choices can be perceived needs literary texts to expound it [Nussbaum] |