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Curie's principle and causal graphs.

David Kinney1

  • 1Santa Fe Institute, Santa Fe, NM, 87501, USA.

Studies in History and Philosophy of Science
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Summary
This summary is machine-generated.

Graphical causal models do not always uphold Curie's Principle. Depending on the symmetry definition, the framework either contradicts or supports this principle, clarifying their relationship.

Keywords:
Causal graphsCausationCurie’s PrincipleMarkov conditionSymmetry

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Area of Science:

  • Causal inference
  • Philosophy of science
  • Symmetry principles

Background:

  • Curie's Principle posits that the symmetry of a cause must be reflected in its effect.
  • Understanding this principle is crucial in various scientific disciplines.
  • Graphical causal models offer a formal framework for analyzing causal relationships.

Purpose of the Study:

  • To investigate the relationship between Curie's Principle and graphical causal models.
  • To determine if graphical causal models necessitate Curie's Principle.
  • To explore different definitions of symmetry transformations within causal modeling.

Main Methods:

  • Analysis of Curie's Principle within the framework of graphical causal models.
  • Examination of two distinct definitions of symmetry transformations.
  • Logical deduction of implications for Curie's Principle based on the causal modeling formalism.

Main Results:

  • Under one definition, graphical causal models do not require Curie's Principle.
  • Under an alternative definition, the graphical causal modeling formalism implies a version of Curie's Principle.
  • The study clarifies the logical landscape concerning Curie's Principle and graphical causal models.

Conclusions:

  • The adherence of graphical causal models to Curie's Principle is definition-dependent.
  • This research refines the understanding of symmetry in causal inference.
  • The findings contribute to the theoretical foundations of causal reasoning.