Annals of the Japan Association for Philosophy of Science
Online ISSN : 1884-1228
Print ISSN : 0453-0691
ISSN-L : 0453-0691
Volume 14 , Issue 2
Showing 1-4 articles out of 4 articles from the selected issue
  • Kazuyuki NOMOTO
    2006 Volume 14 Issue 2 Pages 73-97
    Published: March 05, 2006
    Released: March 26, 2009
    JOURNALS FREE ACCESS
    In this essay I try to give a general outline of the structural and methodological characteristics of Frege's logical-philosophical investigations as a whole.
    Frege's lifelong enterprise is to establish so-called ‘logicism’, i.e., to show ‘that arithmetic is developed logic.’ This project is, philosophically, an attempt to answer the epistemological question concerning what kind of epistemic status an arithmetical proposition has, and Frege's presumptive reply is that arithmetic is a priori and analytic.
    In order to verify this claim, however, it is necessary to solve the logical-mathematical problem, that is, it must be shown that any arithmetical concept is definable by means of logical terms alone and that the axiomatic system of arithmetic is actually deducible without any gap in inference from the fundamental laws of logic alone. Nevertheless, in the second half of the 19c. there was no logical system powerful enough to reduce arithmetic as a whole. So in order to realize his own project, Frege himself had to carry out a revolutionary revision of traditional Aristotelian logic and construct a completely new logic.
    Thus one can divide Frege's logical-philosophical investigations roughly into three parts as follows:
    I. The invention of a new logic, its axiomatic systematization and the development of the logicist philosophy of arithmetic.
    II. Philosophy of logic.
    III. Controversies with his distinguished scholars of his time concerning psychologism, empiricism, physicalism, formalism, etc., though I do not take these up in the present paper.
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  • Per.Martin Löf
    2006 Volume 14 Issue 2 Pages 98-99
    Published: March 05, 2006
    Released: March 26, 2009
    JOURNALS FREE ACCESS
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  • Hiroshi KANEKO
    2006 Volume 14 Issue 2 Pages 101-112
    Published: March 05, 2006
    Released: March 26, 2009
    JOURNALS FREE ACCESS
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  • Hirofumi SAITO
    2006 Volume 14 Issue 2 Pages 113-121
    Published: March 05, 2006
    Released: March 26, 2009
    JOURNALS FREE ACCESS
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