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Ideas for 'fragments/reports', 'Introducing the Philosophy of Mathematics' and 'Mind and Body'

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2 ideas

18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts can be presented extensionally (as objects) or intensionally (as a characterization) [Friend]
     Full Idea: The extensional presentation of a concept is just a list of the objects falling under the concept. In contrast, an intensional presentation of a concept gives a characterization of the concept, which allows us to pick out which objects fall under it.
     From: Michèle Friend (Introducing the Philosophy of Mathematics [2007], 3.4)
     A reaction: Logicians seem to favour the extensional view, because (in the standard view) sets are defined simply by their members, so concepts can be explained using sets. I take this to be a mistake. The intensional view seems obviously prior.
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
It seems unlikely that most concepts are innate, if a theory must be understood to grasp them [Kirk,R]
     Full Idea: It is widely accepted that for many concepts, if not all, grasping the concept requires grasping some theory, ...which makes difficulties for the view that concepts are not learned: for 'radical concept nativism', as Fodor calls it.
     From: Robert Kirk (Mind and Body [2003], §7.3)
     A reaction: Not a problem for traditional rationalist theories, where the whole theory can be innate along with the concept, but a big objection to modern more cautious non-holistic views (such as Fodor's). Does a bird have a concept AND theory of a nest?