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Ideas for 'fragments/reports', 'Replies on 'Limits of Abstraction'' and 'Causal Powers'

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2 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
     Full Idea: Logicists traditionally claim that the theorems of mathematics can be derived by logical means from the relevant definitions of the terms, and that these theorems are epistemically innocent (knowable without Kantian intuition or empirical confirmation).
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism
There is not an exclusive dichotomy between the formal and the logical [Harré/Madden]
     Full Idea: The assumption that there is an exclusive dichotomy between the formal and the psychological is, in our view, an error of enormous consequence.
     From: Harré,R./Madden,E.H. (Causal Powers [1975], 1.I.A)
     A reaction: I agree entirely with this, and am opposed to the Fregean view of the matter. The psychology is the bridge between the physical world and the logic. Frege had to be a platonist, so that the formalism could latch onto something.