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Two Forms of Functional Reductionism in Physics.

Lorenzo Lorenzetti1

  • 1Department of Philosophy, University of Bristol, Cotham House, Bristol, BS6 6JL UK.

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Summary

Functional reductionism explains how higher-level scientific theories can be recovered using lower-level theories. This paper develops two new versions, Syntactic and Semantic Functional Reductionism, to advance this approach.

Keywords:
Functional reductionFunctionalismIntertheoretic reductionIntertheory relationsReductionismStatistical mechanicsThermodynamics

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Area of Science:

  • Philosophy of Science
  • Theoretical Physics
  • Metaphysics

Background:

  • Functional reductionism defines inter-theoretic reduction by recovering upper-level theory behavior using a lower-level theory.
  • This approach, exemplified by linking thermodynamics and statistical mechanics via entropy, offers unique advantages but lacks attention.
  • Existing frameworks for scientific reduction do not fully capture the nuances of functional reductionism.

Purpose of the Study:

  • To clarify the concept of functional reductionism within scientific practice, particularly in physics.
  • To position functional reductionism relative to other reductionist strategies and ontological considerations.
  • To develop and analyze two novel versions: Syntactic Functional Reductionism and Semantic Functional Reductionism.

Main Methods:

  • Elaborating on David Lewis's account for Syntactic Functional Reductionism, integrating syntactic theory views and logical characterization of functional roles.
  • Adopting a semantic approach for Semantic Functional Reductionism, defining functional roles via mathematical roles within models and structuralist reduction.
  • Applying these frameworks to practical examples in physics to demonstrate their utility.

Main Results:

  • Introduction of Syntactic Functional Reductionism, building on Lewis's work and embedding it within Nagelian reductionism.
  • Development of Semantic Functional Reductionism, emphasizing mathematical roles and structuralist perspectives.
  • Demonstration of how these refined approaches enhance the understanding and application of functional reductionism.

Conclusions:

  • The developed frameworks offer a more comprehensive and practical account of functional reductionism.
  • This work aims to establish functional reductionism as a fully developed and influential theory of reduction in science.
  • The study highlights the potential of functional reductionism to bridge different levels of scientific explanation and inform ontological debates.