|Appears in Collections:||Law and Philosophy Book Chapters and Sections|
|Title:||Introduction to Abstractionism|
|Citation:||Ebert P & Rossberg M (2016) Introduction to Abstractionism. In: Ebert PA, Rossberg M (ed.). Abstractionism. Essays in Philosophy of Mathematics, Oxford: Oxford University Press, pp. 3-35.|
|Abstract:||First paragraph: Abstractionism in philosophy of mathematics has its origins in Gottlob Frege’s logicism—a position Frege developed in the late nineteenth and early twentieth century. Frege’s main aim was to reduce arithmetic and analysis to logic in order to provide a secure foundation for mathematical knowledge. As is well known, Frege’s development of logicism failed. The infamous Basic Law V— one of the six basic laws of logic Frege proposed in his magnum opus Grundgesetze der Arithmetik—is subject to Russell’s Paradox. The striking feature of Frege’s Basic Law V is that it takes the form of an abstraction principle.|
|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. Publisher policy allows this work to be made available in this repository. Published in Abstractionism: Essays in Philosophy of Mathematics, PA Ebert & M Rossberg (eds) by Oxford University Press. The original publication is available at:|
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