|Appears in Collections:||Law and Philosophy Journal Articles|
|Peer Review Status:||Refereed|
|Authors:||Cook, Roy T|
|Citation:||Cook RT & Ebert P (2016) Frege's Recipe, Journal of Philosophy, 113 (7), pp. 309-345.|
|Abstract:||In this paper, we present a formal recipe that Frege followed in his magnum opus “Grundgesetze der Arithmetik” when formulating his definitions. This recipe is not explicitly mentioned as such by Frege, but we will offer strong reasons to believe that Frege applied it in developing the formal material of Grundgesetze. We then show that a version of Basic Law V plays a fundamental role in Frege’s recipe and, in what follows, we will explicate what exactly this role is and explain how it differs from the role played by extensions in his earlier book “Die Grundlagen der Arithmetik”. Lastly, 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.|
|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. This is the peer-reviewed version of the following article: Ebert P & Cook RT (2016) Frege's Recipe, Journal of Philosophy, 113 (7), pp. 309-345., which has been published in final form at https://doi.org/10.5840/jphil2016113721. This article may be used for non-commercial purposes only.|
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