A critique of applied catastrophe theory in the behavioral sciences
Using the war model of Isnard and Zeeman as a paradigm, it is shown that many catastrophe theory models in social science possess serious weaknesses. The catastrophes supposedly account for real‐life behavior, but actually are only a restatement of the fact that discontinuities exist. No deep mathem...
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Published in | Behavioral Science Vol. 23; no. 4; pp. 383 - 389 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
California
John Wiley & Sons, Ltd
1978
University of Michigan, Mental Health Research Institute |
Subjects | |
Online Access | Get full text |
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Summary: | Using the war model of Isnard and Zeeman as a paradigm, it is shown that many catastrophe theory models in social science possess serious weaknesses. The catastrophes supposedly account for real‐life behavior, but actually are only a restatement of the fact that discontinuities exist. No deep mathematical results are actually used. The hypotheses are ambiguous or far‐fetched. In addition, Thom's theorem, the mathematical centerpiece of applied catastrophe theory, is inherently uninformative for applications. The theory is helpful on neither the qualitative nor the quantitative level. Finally, better and simpler mathematical tools exist. |
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Bibliography: | ArticleID:BS3830230409 This article is excerpted and adapted from "Catastrophe Theory as Applied to the Social and Biological Sciences: A Critique," Synthese, 1978, 37, 117-216. Reprinted with the permission of the D. Reidel Publishing Company. ark:/67375/WNG-3LT4748H-3 istex:E07FF88A61CEB5FF03134F275AEBEE2B227F5F27 1978, 37, 117–216. Reprinted with the permission of the D. Reidel Publishing Company. This article is excerpted and adapted from “Catastrophe Theory as Applied to the Social and Biological Sciences: A Critique,” Synthese ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0005-7940 1099-1743 1932-300X |
DOI: | 10.1002/bs.3830230409 |