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Single Idea 13665

[filed under theme 18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts ]

Full Idea

Frege took the study of concepts and their extensions to be within logic.

Gist of Idea

Frege took the study of concepts to be part of logic

Source

report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by Stewart Shapiro - Foundations without Foundationalism 7.1

Book Ref

Shapiro,Stewart: 'Foundations without Foundationalism' [OUP 1991], p.177


A Reaction

This is part of the plan to make logic a universal language (see Idea 13664). I disagree with this, and with the general logicist view of the position of logic. The logical approach thins concepts out. See Deleuze/Guattari's horror at this.

Related Ideas

Idea 13664 Logicism is distinctive in seeking a universal language, and denying that logic is a series of abstractions [Shapiro]

Idea 8245 The logical attitude tries to turn concepts into functions, when they are really forms or forces [Deleuze/Guattari]


The 9 ideas from 'Grundgesetze der Arithmetik 1 (Basic Laws)'

Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
Real numbers are ratios of quantities, such as lengths or masses [Frege]
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
My Basic Law V is a law of pure logic [Frege]