Abstract

The analytic tradition in philosophy stems from the work of German mathematician and logician Gottlob Frege. Bertrand Russell brough Frege's program to render language-particularly scientific language-in formal logical terms to the forefront of philosophy in the early twentieth century. The quest to clarify language and parse out genuine philosophical problems remains a cornerstone of analytic philosophy, but investigative programs involving the broad application of formal symbolic logic to language have largely been abandoned due to the influence of Ludwig Wittgenstein's later work. This article identifies the key philosophical moves that must be performed successfully in order for Frege's "conceptual notation" and other similar systems to adequately capture syntax and semantics. These moves ultimately fail as a result of the nature of linguistic meaning. The shift away from formal logical analysis of language and the emergence of the current analytic style becomes clearer when this failure is examined critically.

Highlights

  • Gottlob Frege (1848-1925) aimed to formalize the language o f science such that thenotation by which science expressed itself corresponded to the rigorous objectivity of the scientific worldview

  • Out of mathematics— the concepts of function and equality—Frege derived a logical system i n which ordinary language is represented by "truth functions," and meaning is represented by equality

  • Frege's "conceptual notation" is an example o f a formal system that is not strictly mathematical, though it conserves the priority of logical relations between symbols.lv

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Summary

CHRISTOPHER SHERIDAN

THEANALYTICTRADITION IN PHILOSOPHYSTEMSFROMTHEWORKOFGERMAN MATHEMATICIAN AND LOGICIAN GOTTLOB FREGE. T h e analytic breakdown o f language, which was first rigorously performed by Frege, is the unique and essential philosophical move of the analytic tradition. This move aims to transform language—already acomplex syntactical a n d sem anticsystem — i n such a way as toallow the applicationof the formal correlation. Applying Husserl's method of remembering forgotten philosophical steps, I will trace the moves that Frege made in performing his analytic breakdown. This Husserlian analysis reveals that the analytic breakdown fails to achieve a total reformulation—that language fundamen-

ELEM ENTS
Universal quantification
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