Reviewing Reduction in a Preferential Model‐Theoretic Context

International Studies in the Philosophy of Science 19 (2):123 – 146 (2005)
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Abstract

In this article, we redefine classical notions of theory reduction in such a way that model-theoretic preferential semantics becomes part of a realist depiction of this aspect of science. We offer a model-theoretic reconstruction of science in which theory succession or reduction is often better - or at a finer level of analysis - interpreted as the result of model succession or reduction. This analysis leads to 'defeasible reduction', defined as follows: The conjunction of the assumptions of a reducing theory T with the definitions translating the vocabulary of a reduced theory T' to the vocabulary of T, defeasibly entails the assumptions of reduced T'. This relation of defeasible reduction offers, in the context of additional knowledge becoming available, articulation of a more flexible kind of reduction in theory development than in the classical case. Also, defeasible reduction is shown to solve the problems of entailment that classical homogeneous reduction encounters. Reduction in the defeasible sense is a practical device for studying the processes of science, since it is about highlighting different aspects of the same theory at different times of application, rather than about naive dreams concerning a metaphysical unity of science.

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Emma Ruttkamp-Bloem
University of Pretoria

Citations of this work

The Unity of Science.Jordi Cat - 2013 - Stanford Encyclopedia of Philosophy.
Reduction Revisited.Emma Ruttkamp - 2006 - South African Journal of Philosophy 25 (2):102-112.
Philosophy of Science: Interfaces Between Logic and Knowledge Representation.Emma Ruttkamp - 2006 - South African Journal of Philosophy 25 (4):275-289.

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