16 ideas
15134 | The truthmaker principle requires some specific named thing to make the difference [Williamson] |
Full Idea: The truthmaker principle seems compelling, because if a proposition is true, something must be different from a world in which it is false. The principle makes this specific, by treating 'something' as a quantifier binding a variable in name position. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2) | |
A reaction: See Williamson for an examination of the logical implications of this. The point is that the principle seems to require some very specific 'thing', which may be asking too much. For a start, it might be the absence of a thing. |
15141 | Truthmaker is incompatible with modal semantics of varying domains [Williamson] |
Full Idea: Friends of the truthmaker principle should reject the Kripke semantics of varying domains. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3) | |
A reaction: See other ideas from this paper to get a sense of what that is about. |
15140 | The converse Barcan formula will not allow contingent truths to have truthmakers [Williamson] |
Full Idea: The converse Barcan formula does not allow any contingent truths at all to have a truthmaker. Once cannot combine the converse Barcan formula with any truthmaker principle worth having. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3) | |
A reaction: One might reply, so much the worse for the converse Barcan formula, but Williamson doesn't think that. |
15131 | If metaphysical possibility is not a contingent matter, then S5 seems to suit it best [Williamson] |
Full Idea: In S5, necessity and possibility are not themselves contingent matters. This is plausible for metaphysical modality, since metaphysical possibility, unlike practical possibility, does not depend on the contingencies of one's situation. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §1) | |
A reaction: This is the clearest statement I have found of why S5 might be preferable for metaphysics. See Nathan Salmon for the rival view. Williamson's point sounds pretty persuasive to me. |
15135 | If the domain of propositional quantification is constant, the Barcan formulas hold [Williamson] |
Full Idea: If the domain of propositional quantification is constant across worlds, the Barcan formula and its converse hold. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2) | |
A reaction: So the issue is whether we should take metaphysics to be dealing with a constant or varying domains. Williamson seems to favour the former, but my instincts incline towards the latter. |
15139 | Converse Barcan: could something fail to meet a condition, if everything meets that condition? [Williamson] |
Full Idea: The converse Barcan is at least plausible, since its denial says there is something that could fail to meet a condition when everything met that condition; but how could everything meet that condition if that thing did not? | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3) | |
A reaction: Presumably the response involves a discussion of domains, since everything in a given domain might meet a condition, but something in a different domain might fail it. |
18492 | Not all quantification is either objectual or substitutional [Williamson] |
Full Idea: We should not assume that all quantification is either objectual or substitutional. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], p.262) | |
A reaction: [see Prior 1971:31-4] He talks of quantifying into sentence position. |
15136 | Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson] |
Full Idea: If quantification into sentence position is substitutional, then it is metaphysically neutral. A substitutionally interpreted 'existential' quantification is semantically equivalent to the disjunction (possibly infinite) of its substitution instances. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2) | |
A reaction: Is it not committed to the disjunction, just as the objectual reading commits to objects? Something must make the disjunction true. Or is it too verbal to be about reality? |
15138 | Not all quantification is objectual or substitutional [Williamson] |
Full Idea: We should not assume that all quantification is objectual or substitutional. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2) |
15137 | If 'fact' is a noun, can we name the fact that dogs bark 'Mary'? [Williamson] |
Full Idea: If one uses 'fact' as a noun, the question arises why one cannot name the fact that dogs bark 'Mary'. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2 n10) | |
A reaction: What an intriguing thought! Must all nouns pass this test? 'The courage of the regiment was called Alfred'? |
14979 | Being alone doesn't guarantee intrinsic properties; 'being alone' is itself extrinsic [Lewis, by Sider] |
Full Idea: The property of 'being alone in the world' is an extrinsic property, even though it has had by an object that is alone in the world. | |
From: report of David Lewis (Extrinsic Properties [1983]) by Theodore Sider - Writing the Book of the World 01.2 | |
A reaction: I always choke on my cornflakes whenever anyone cites a true predicate as if it were a genuine property. This is a counterexample to Idea 14978. Sider offers another more elaborate example from Lewis. |
15454 | Extrinsic properties come in degrees, with 'brother' less extrinsic than 'sibling' [Lewis] |
Full Idea: Properties may be more or less intrinsic; being a brother has more of an admixture of intrinsic structure than being a sibling does, yet both are extrinsic. | |
From: David Lewis (Extrinsic Properties [1983], I) | |
A reaction: I suppose the point is that a brother is intrinsically male - but then a sibling is intrinsically human. A totally extrinsic relation would be one between entities which shared virtually no categories of existence. |
15455 | Total intrinsic properties give us what a thing is [Lewis] |
Full Idea: The way something is is given by the totality of its intrinsic properties. | |
From: David Lewis (Extrinsic Properties [1983], I) | |
A reaction: No. Some properties are intrinsic but trivial. The 'important' ones fix the identity (if the identity is indeed 'fixed'). |
15142 | Our ability to count objects across possibilities favours the Barcan formulas [Williamson] |
Full Idea: Consideration of our ability to count objects across possibilities strongly favour both the Barcan formula and its converse. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §3) | |
A reaction: I'm not sure that I can understand counting objects across possibilities. The objects themselves are possibilia, and possibilia seem to include unknowns. The unexpected is highly possible. |
7270 | Historical interpretation aims to recapture the author's view of the work [Croce] |
Full Idea: Historical interpretation enables us to see a work of art as its author saw it in the moment of production. | |
From: Benedetto Croce (Aesthetic as Science of Expression [1902], §II), quoted by W Wimsatt/W Beardsley - The Intentional Fallacy §II | |
A reaction: Wimsatt and Beardsley quote this as the romantic antithesis of their own view, but there is a blurring between understanding a work and judging. Personally I consider intentions essential for understanding, and valuable for judgement. |
15133 | A thing can't be the only necessary existent, because its singleton set would be as well [Williamson] |
Full Idea: That there is just one necessary existent is surely false, for if x is a necessary, {x} is a distinct necessary existent. | |
From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §1) | |
A reaction: You would have to believe that sets actually 'exist' to accept this, but it is a very neat point. |