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Ideas for 'Logic (Encyclopedia I)', 'Frege philosophy of mathematics' and 'On the Frame of Reference'

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4 ideas

18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
We don't think with concepts - we think the concepts [Hegel]
     Full Idea: There is a saying that, when we have grasped a concept, we still do not know what to think with it. But there is nothing to be thought with a concept save the concept itself.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §03 Rem)
     A reaction: Analytic philosophers should read Hegel on concepts, because he approaches the matter so very differently, and seems to be the root of the continental approach to such things. He seems to me to talk more sense than Frege on the subject.
Active thought about objects produces the universal, which is what is true and essential of it [Hegel]
     Full Idea: When thinking is taken as active with regard to ob-jects, as the thinking-over of something, then the universal - as the product of the activity - contains the value of the matter, what is essential, inner, true.
     From: Georg W.F.Hegel (Logic (Encyclopedia I) [1817], §21)
     A reaction: I prefer to talk of 'general terms' rather than 'universals'. If 'tiger' is coined for the first one, but must be applicable to subsequent tigers, it has to generalise what they all have in common. Locke's 'nominal' essence, I would say.
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
     Full Idea: One powerful argument for a thesis that one notion is conceptually prior to another is the possibility of defining the first without reference to the second.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: You'd better check whether you can't also define the second without reference to the first before you rank their priority. And maybe 'conceptual priority' is conceptually prior to 'definition' (i.e. definition needs a knowledge of priority). Help!
An argument for conceptual priority is greater simplicity in explanation [Dummett]
     Full Idea: An argument for conceptual priority is greater simplicity in explanation.
     From: Michael Dummett (Frege philosophy of mathematics [1991], Ch.12)
     A reaction: One might still have to decide priority between two equally simple (or complex) concepts. I begin to wonder whether 'priority' has any other than an instrumental meaning (according to which direction you wish to travel - is London before Edinburgh?).