6 ideas
| 10247 | We have no adequate logic at the moment, so mathematicians must create one [Veblen] |
| Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so. | |
| From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic. |
| 18430 | We accept properties because of type/tokens, reference, and quantification [Edwards] |
| Full Idea: Three main reasons for thinking properties exist: the one-over-many argument (that a type can have many tokens), the reference argument (to understand predicates and singular terms), and the quantification argument (that we quantify over them). | |
| From: Douglas Edwards (Properties [2014], 1.1) | |
| A reaction: [Bits in brackets are compressions of his explanations]. I don't find any of these remotely persuasive. Why would we infer how the world is, simply from how we talk about or reason about the world? His first reason is the only interesting one. |
| 18432 | Quineans say that predication is primitive and inexplicable [Edwards] |
| Full Idea: The Quinean claims that the application of a predicate cannot, in principle, be explained - it is a 'primitive' fact. | |
| From: Douglas Edwards (Properties [2014], 4.4) | |
| A reaction: I am not clear what 'principle' could endorse this claim. There just seems to be a possible failure of all the usual attempts at explaining predication. |
| 18437 | Resemblance nominalism requires a second entity to explain 'the rose is crimson' [Edwards] |
| Full Idea: For resemblance nominalism the sentence 'the rose is crimson' commits us to at least one other entity that the rose resembles in order for it to be crimson. | |
| From: Douglas Edwards (Properties [2014], 5.5.2) | |
| A reaction: If the theory really needs this, then it has just sunk without trace. It can't suddenly cease to be crimson when the last resembling entity disappears. |
| 18434 | That a whole is prior to its parts ('priority monism') is a view gaining in support [Edwards] |
| Full Idea: The view of 'priority monism' - that the whole is prior to its parts - is controversial, but has been growing in support | |
| From: Douglas Edwards (Properties [2014], 5.4.4) | |
| A reaction: The simple and plausible thought is, I take it, that parts only count as parts when a whole comes into existence, so a whole is needed to generate parts. Thus the whole must be prior to the parts. Fine by me. |
| 20643 | Consilience is a common groundwork of explanation [Whewell] |
| Full Idea: Consilience is the jumping together of knowledge by the linking of facts and fact-based theory across disciplines to create a common groundwork of explanation. | |
| From: William Whewell (The Philosophy of the Inductive Sciences [1840]), quoted by Peter Watson - Convergence Intro 'United' | |
| A reaction: Apparently this is the first use of the word, which was popularised by E.O. Wilson in recent times. If, as I do, you dream of a final theory, in philosophy as well as in science, then you have to be a fan of consilience. |