Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'An Ontology of Art' and 'A Realist Theory of Science'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447	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 / D. Essence of Objects / 5. Essence as Kind

15143	Kind essences are the categorical bases of a thing's causal powers [Bhaskar, by Chakravartty]
	Full Idea: Bhaskar identifies kind essences with underlying properties, often called 'categorical bases', of the causal powers of things.
	From: report of Roy Bhaskar (A Realist Theory of Science [1975], p.212) by Anjan Chakravarrty - Inessential Aristotle: Powers without Essences 1
	A reaction: The problem with this, it always seems to me, is the something inherently passive is said to give rise to something which is inherently active. Couldn't two individuals with a kind have slightly different categorical bases?

21. Aesthetics / B. Nature of Art / 7. Ontology of Art

20444	If paintings could be perfectly duplicated, it would be a multiple art form [Currie, by Bacharach]
	Full Idea: Currie claims that, in principle, all art forms are multiple. A superxerox machine, duplicating a painting molecule by molecule, would show that paintings are singular only contingently.
	From: report of Gregory Currie (An Ontology of Art [1988]) by Sondra Bacharach - Arthur C. Danto 3
	A reaction: This strikes me as correct. An original painting would then have the same status as the manuscript of a poem, giving it an authority, and being moving by its personal contact with the artist. But worth far less than current original paintings.