48 ideas
| 16241 | The metaphysics of nature should focus on physics [Maudlin] |
| 16257 | Kant survives in seeing metaphysics as analysing our conceptual system, which is a priori [Maudlin] |
| 16276 | Wide metaphysical possibility may reduce metaphysics to analysis of fantasies [Maudlin] |
| 16244 | If the universe is profligate, the Razor leads us astray [Maudlin] |
| 16255 | The Razor rightly prefers one cause of multiple events to coincidences of causes [Maudlin] |
| 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] |
| 16243 | The Humean view is wrong; laws and direction of time are primitive, and atoms are decided by physics [Maudlin] |
| 16271 | Lewis says it supervenes on the Mosaic, but actually thinks the Mosaic is all there is [Maudlin] |
| 16273 | If the Humean Mosaic is ontological bedrock, there can be no explanation of its structure [Maudlin] |
| 16275 | The 'spinning disc' is just impossible, because there cannot be 'homogeneous matter' [Maudlin] |
| 16258 | To get an ontology from ontological commitment, just add that some theory is actually true [Maudlin] |
| 16259 | Naïve translation from natural to formal language can hide or multiply the ontology [Maudlin] |
| 16253 | A property is fundamental if two objects can differ in only that respect [Maudlin] |
| 16263 | Fundamental physics seems to suggest there are no such things as properties [Maudlin] |
| 16260 | Existence of universals may just be decided by acceptance, or not, of second-order logic [Maudlin] |
| 16277 | Logically impossible is metaphysically impossible, but logically possible is not metaphysically possible [Maudlin] |
| 22518 | The actual must be possible, because it occurred [Aristotle] |
| 16249 | A counterfactual antecedent commands the redescription of a selected moment [Maudlin] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 16254 | Induction leaps into the unknown, but usually lands safely [Maudlin] |
| 16245 | Laws should help explain the things they govern, or that manifest them [Maudlin] |
| 16566 | Poetry is more philosophic than history, as it concerns universals, not particulars [Aristotle] |
| 16248 | Evaluating counterfactuals involves context and interests [Maudlin] |
| 16250 | We don't pick a similar world from many - we construct one possibility from the description [Maudlin] |
| 16268 | The counterfactual is ruined if some other cause steps in when the antecedent fails [Maudlin] |
| 16267 | If we know the cause of an event, we seem to assent to the counterfactual [Maudlin] |
| 16269 | If the effect hadn't occurred the cause wouldn't have happened, so counterfactuals are two-way [Maudlin] |
| 16247 | Laws are primitive, so two indiscernible worlds could have the same laws [Maudlin] |
| 16272 | Fundamental laws say how nature will, or might, evolve from some initial state [Maudlin] |
| 16242 | Laws of nature are ontological bedrock, and beyond analysis [Maudlin] |
| 16251 | 'Humans with prime house numbers are mortal' is not a law, because not a natural kind [Maudlin] |
| 16270 | If laws are just regularities, then there have to be laws [Maudlin] |
| 16264 | I believe the passing of time is a fundamental fact about the world [Maudlin] |
| 16265 | If time passes, presumably it passes at one second per second [Maudlin] |
| 16266 | There is one ordered B series, but an infinitude of A series, depending on when the present is [Maudlin] |