Idea analysis of algebraic groups: A critical comment on George Lakoff and Rafael núñez's where mathematics comes from
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Philosophical Psychology 15 (2):185 – 195 (2002)
The study that George Lakoff and Rafael Núñez call "idea analysis" and begin in their recent book Where mathematics comes from is intended to dissect mathematical concepts into their metaphorical parts, where metaphor is used in the cognitive-science sense promoted by Lakoff and Mark Johnson in Metaphors we live by and subsequent works by each of them and together. Lakoff and Núñez's analysis of the (modern) algebraic concept of group is based on the attribution to contemporary mathematics of what will be widely recognizable by their name for it, the folk theory of essences. I argue that this philosophical basis for their analysis is spurious and supply an alternative analysis of the same concept within their "metaphorical" paradigm but without essences. This analysis, which I hope is more viable than theirs, is intended to support the general applicability of the paradigm by freeing it from outmoded philosophical baggage.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Stanley A. Mulaik (1995). The Metaphoric Origins of Objectivity, Subjectivity, and Consciousness in the Direct Perception of Reality. Philosophy of Science 62 (2):283-303.
D. Napoletani, M. Panza & D. Struppa (2011). Agnostic Science. Towards a Philosophy of Data Analysis. Foundations of Science 16 (1):1-20.
D. C. Struppa (2011). Agnostic Science. Towards a Philosophy of Data Analysis. Foundations of Science 16 (1):1-20.
Robert Rogers (1964). Mathematical and Philosophical Analyses. Philosophy of Science 31 (3):255-264.
Wayne C. Booth (1983). Book Review:Metaphors We Live By. George Lakoff, Mark Johnson. [REVIEW] Ethics 93 (3):619-.
George Lakoff (1980). Metaphors We Live By. University of Chicago Press.
Gary M. Shute (2005). Review of G. Lakoff and R. E. Núñez, Where Mathematics Comes From. [REVIEW] Minds and Machines 15 (1):118-123.
Added to index2009-01-28
Total downloads9 ( #374,109 of 1,911,412 )
Recent downloads (6 months)1 ( #455,910 of 1,911,412 )
How can I increase my downloads?