Combining Texts

All the ideas for 'Identity and Spatio-Temporal Continuity', 'Ethics and Language' and 'Frege's Theory of Numbers'

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3 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'.
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins]
     Full Idea: 'Ultimate sortals' are said to be non-subordinated, disjoint from one another, and uniquely paired with each object. Because of this, the ultimate sortal cannot be a satisfactory explication of the notion of an ontological category.
     From: comment on David Wiggins (Identity and Spatio-Temporal Continuity [1971], p.75) by Jan Westerhoff - Ontological Categories §26
     A reaction: My strong intuitions are that Wiggins is plain wrong, and Westerhoff gives the most promising reasons for my intuition. The simplest point is that objects can obviously belong to more than one category.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Moral words have an inherited power from expressing attitudes in emotional situations [Stevenson,CL]
     Full Idea: A term is moral because of the power that the word acquires, on account of its history in emotional situations, to evoke or directly express attitudes, as distinct from describing or designating them.
     From: Charles Leslie Stevenson (Ethics and Language [1944], p.33), quoted by John Hacker-Wright - Philippa Foot's Moral Thought 1 'Ayer'
     A reaction: Invites the question of what the words meant before they acquired this patina of historical usage. If 'good' orginally meant 'hurray!', its repeated usage doesn't seem to change that. If it was descriptive, why would that change with time?