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On Frege's alleged Logicism

Publication at Faculty of Arts |
2005

Abstract

This is the essay devoted to the Fregean logicism, especially to its alleged resurrection in the works of C. Wright and Boolos.

We are working on presumption that there are no easy, categorical answers to questions like “Is logicism dead?“ and suchlike: Wittgenstein’s critique of the foundational programme as well as the remarkable neofregean discoveries have to be confronted with the effects which the logicistic idea actually had on logico-mathematical practice. In the course of the exposition, however, we tend to think that the suggested structuralistic reinterpretation does not work.

The conceptualized arithmetic is one of the bold ideas which turned out to be unfeasible.