Article

Synthese

, Volume 130, Issue 1, pp 135-162

First online:

Structuralism, Model Theory and Reduction

  • Karl-Georg NiebergallAffiliated withSeminar für Philosophie, Logik und Wissenschaftstheorie Ludwig-Maximilians-Universität

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Abstract

In this paper, the (possible) role of model theory forstructuralism and structuralist definitions of ``reduction'' arediscussed. Whereas it is somewhat undecisive with respect tothe first point – discussing some pro's and con's ofthe model theoretic approach when compared with a syntacticand a structuralist one – it emphasizes that severalstructuralist definitions of ``reducibility'' do not providegenerally acceptable explications of ``reducibility''. This claimrests on some mathematical results proved in this paper.