Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Dispositional Essentialism Grounds Laws of Nature?' and 'works'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
An 'antidote' allows a manifestation to begin, but then blocks it [Corry]
     Full Idea: An 'antidote' (or 'mask') to a disposition (unlike a 'finkish' one) leaves the disposition intact, but interferes with the causal chain between the disposition and its manifestation so that the manifestation doesn't come about.
     From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 2)
     A reaction: [He cites Bird 1997] Thus the disposition of the poison at least begins to manifest, but its disposition to kill is blocked. So what was the disposition of the poison?
A 'finkish' disposition is one that is lost immediately after the appropriate stimulus [Corry]
     Full Idea: An object's disposition is said to be 'finkish' if the object loses the disposition after the occurrence of the appropriate stimulus, but before the manifestation has had time to come about.
     From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 2)
     A reaction: [He cites Lewis 1997] An example would be some sort of safety device which only cuts in if the disposition seems about to operate (e.g. turns off electricity). It seems to block analyses of dispositions simply in terms of their outcomes.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
If a disposition is never instantiated, it shouldn't be part of our theory of nature [Corry]
     Full Idea: If we have no good reason to believe that a disposition is instantiated, then the disposition should play no role in our theorizing about the world.
     From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 3)
     A reaction: It is part of our theory that a substantial lump of uranium will explode, but also that a galaxy-sized lump of uranium would explode. Surely we are committed to the latter, even though it never happens?
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Class membership is not transitive, unlike being part of a part of the whole [Lesniewski, by George/Van Evra]
     Full Idea: Lesniewski distinguished the part-whole relationship from class membership. Membership is not transitive: if s is an element of t, and t of u, then s is not an element of u, whereas a part of a part is a part of the whole.
     From: report of Stanislaw Lesniewski (works [1916]) by George / Van Evra - The Rise of Modern Logic 7
     A reaction: If I am a member of a sports club, and my club is a member of the league, I am not thereby a member of the league (so clubs are classes, not wholes). This distinction is clearly fairly crucial in ontology.
14. Science / A. Basis of Science / 3. Experiment
Maybe an experiment unmasks an essential disposition, and reveals its regularities [Corry]
     Full Idea: The dispositional essentialist can argue that what happens in laboratory conditions is that, by controlling external influences, we effectively 'unmask' the relevant dispositions, and thus observe the regularities to which those dispositions give rise.
     From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 5)
     A reaction: That seems to me to be exactly right, though Corry dislikes it, and even suggests that dispositional essentialist might not like it.
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Dispositional essentialism says fundamental laws of nature are strict, not ceteris paribus [Corry]
     Full Idea: Dispositional essentialism implies that the fundamental laws of nature must be strict, not ceteris paribus.
     From: Richard Corry (Dispositional Essentialism Grounds Laws of Nature? [2010], 1)
     A reaction: I am not keen on the 'laws' of nature, but since essentialism seems to make them necessary, you can't get stricter than that.