Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'On the Soul (frags)' and 'On Plural Reference and Set Theory'

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3 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
     Full Idea: Helen Cartwright calls 'a number of' a 'singulariser', an expression whose linguistic function is to convert to a syntactically neutral form an expression whose semantic value remains plural. It is a great convenience grammatically.
     From: report of Helen Cartwright (On Plural Reference and Set Theory [1993]) by Keith Hossack - Plurals and Complexes 2
     A reaction: Compare Hofweber's Idea 10004, suggesting it is a crucial psychological convenience for reasoning, as well as a 'grammatical' convenience.
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'.
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Dicaearchus said soul does not exist, but is just a configuration of the body [Dicaearchus, by Fortenbaugh]
     Full Idea: Dicaearchus advanced the view that mind and soul do not exist; there is only body configured in a certain way.
     From: report of Dicaearchus (On the Soul (frags) [c.320 BCE]) by William W. Fortenbaugh - Dicaearchus
     A reaction: Pure eliminativism! It is hard to find even ruthless modern physicalists taking such a bold view. Note that he is a pupil of Aristotle, and this does not sound like a major disagreement with his teacher's views.