This Article Full Text (PDF) References Alert me when this article is cited Alert me if a correction is posted Citation Map Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Add to My Marked Citations Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by Fisher, W. P. Search for Related Content Social Bookmarking                   What's this?

Mathematics, Measurement, Metaphor and Metaphysics I

Implications for Method in Postmodern Science

Meta Metrics, Inc.wfisher{at}lexile.com

This paper relates philosophy’s metaphysical insistence on rigorous figure–meaning independence, and its own distrust of that insistence, to the potential for improved quantitative and qualitative methods in the sciences. Following Wittgenstein’s admonition that we pay attention to our nonsense, a kind of Socratic double vision is needed to simultaneously accept (1) that any meaningful discourse necessarily requires a significant degree of signifier–signified coordination, and (2) that an ideal degree of such coordination is never achieved in practice. A metaphysically informed theory of scientific method begins from the mathematical and hermeneutic implications of figure–meaning coordination. This paper explores the mathematical metaphysics of science, critically evaluates the often repeated maxim that fields of study are only as scientific as they are mathematical, and suggests that some forms of quantification are more mathematically astute, metaphysically informed, pragmatic and effective than others. In conclusion, the qualitative and quantitative aspects of three key features of measurement are briefly explored: (1) the deconstructive display and exploration of significant anomaly; (2) the metaphorically and numerically reductive identification, via sufficient reason and sufficient statistics, of new variables; and (3) the constructive application of technologically embodied sign–thing coordinations in research and practice.

Key Words: mathematical thinking • measurement • metaphysics • method • positivism • postmodernism

CiteULike    Connotea    Del.icio.us    Digg    Reddit    Technorati    What's this?

This article has been cited by other articles:

				W. P. Fisher Jr. Mathematics, Measurement, Metaphor and Metaphysics II: Accounting for Galileo's 'Fateful Omission' Theory Psychology, December 1, 2003; 13(6): 791 - 828. [Abstract] [PDF]