Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/23079
Appears in Collections:Law and Philosophy Journal Articles
Peer Review Status: Refereed
Title: Frege's Recipe (Forthcoming)
Authors: Ebert, Philip
Cook, Roy T
Contact Email: p.a.ebert@stir.ac.uk
Issue Date: 2016
Publisher: Columbia University
Citation: Ebert P & Cook RT Frege's Recipe (Forthcoming), Journal of Philosophy.
Abstract: First paragraph: This paper has three aims: first, we present a formal recipe that Frege followed in his magnum opus Grundgesetze der Arithmetik when formulating definitions. This generalized recipe, as we will call it, is not explicitly mentioned as such by Frege, but we will offer strong reasons to believe that Frege applied the recipe in developing the formal material of Grundgesetze. Second, we will show that a version of Basic Law V plays a fundamental role in the generalized recipe. We will explicate exactly what this role is and how it differs from the role played by extensions in Die Grundlagen der Arithmetik. Third, and finally, we will demonstrate that this hitherto neglected yet foundational aspect of Frege’s use of Basic Law V helps to resolve a number of important interpretative challenges in recent Frege scholarship, while also shedding light on some important differences between Frege’s logicism and recent ‘neo-logicist’ approaches to the foundations of mathematics.
Type: Journal Article
URI: http://hdl.handle.net/1893/23079
Rights: This item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.
Affiliation: Philosophy
University of Minnesota

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