Combining Philosophers

Ideas for Anaxarchus, G Deleuze / F Guattari and Kit Fine

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5 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5

9560	S5 provides the correct logic for necessity in the broadly logical sense [Fine,K]
	Full Idea: S5 provides the correct logic for necessity in the broadly logical sense.
	From: Kit Fine (Model Theory for Modal Logic I [1978], 151), quoted by Charles Chihara - A Structural Account of Mathematics
	A reaction: I have no view on this, but I am prejudiced in favour of the idea that there is a correct logic for such things, whichever one it may be. Presumably the fact that S5 has no restrictions on accessibility makes it more comprehensive and 'metaphysical'.

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic

14263	Strong Kleene disjunction just needs one true disjunct; Weak needs the other to have some value [Fine,K]
	Full Idea: Under strong Kleene tables, a disjunction will be true if one of the disjuncts is true, regardless of whether or not the other disjunct has a truth-value; under the weak table it is required that the other disjunct also have a value. So for other cases.
	From: Kit Fine (Some Puzzles of Ground [2010], n7)
	A reaction: [see also p.111 of Fine's article] The Kleene tables seem to be the established form of modern three-valued logic, with the third value being indeterminate.

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets

10565	There is no stage at which we can take all the sets to have been generated [Fine,K]
	Full Idea: There is no stage at which we can take all the sets to have been generated, since the set of all those sets which have been generated at a given stage will itself give us something new.
	From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)

4. Formal Logic / G. Formal Mereology / 1. Mereology

13331	Part and whole contribute asymmetrically to one another, so must differ [Fine,K]
	Full Idea: The whole identity of a part is relevant to whether it is a part, but the identity of the whole makes a part a part. The whole part belongs to the whole as a part. The standard account in terms of time-slices fails to respect this part/whole asymmetry.
	From: Kit Fine (Things and Their Parts [1999], §2)
	A reaction: Hard to follow, but I think the asymmetry is that the wholeness of the part contributes to the wholeness of the whole, while the wholeness of the whole contributes to the parthood of the part. Wholeness does different jobs in different directions. OK?

4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology

10564	We might combine the axioms of set theory with the axioms of mereology [Fine,K]
	Full Idea: We might combine the standard axioms of set theory with the standard axioms of mereology.
	From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)