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Ideas for 'works', 'Truthmakers and Converse Barcan Formula' and 'Writing the Book of the World'

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7 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
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.
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan schema implies if X might have fathered something, there is something X might have fathered [Sider]
     Full Idea: If we accept the Barcan and converse Barcan schemas, this leads to surprising ontological consequences. Wittgenstein might have fathered something, so, by the Barcan schema, there is something that Wittgenstein might have fathered.
     From: Theodore Sider (Writing the Book of the World [2011], 11.9)
     A reaction: [He cites Tim Williamson for this line of thought] I was liking the Barcan picture, by now I am backing away fast. They cannot be serious!
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.
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.
4. Formal Logic / G. Formal Mereology / 1. Mereology
Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki]
     Full Idea: Aristotle proposes to relativise unity and plurality, so that a single object can be both one (indivisible) and many (divisible) simultaneously, without contradiction, relative to different measures. Wholeness has degrees, with the strength of the unity.
     From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.12
     A reaction: [see Koslicki's account of Aristotle for details] As always, the Aristotelian approach looks by far the most promising. Simplistic mechanical accounts of how parts make wholes aren't going to work. We must include the conventional and conceptual bit.
'Gunk' is an object in which proper parts all endlessly have further proper parts [Sider]
     Full Idea: An object is 'gunky' if each of its parts has further proper parts; thus gunk involves infinite descent in the part-whole relation.
     From: Theodore Sider (Writing the Book of the World [2011], 07.11.2)
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Which should be primitive in mereology - part, or overlap? [Sider]
     Full Idea: Should our fundamental theory of part and whole take 'part' or 'overlap' as primitive?
     From: Theodore Sider (Writing the Book of the World [2011], 02.3)