A Framework for an Inferential Conception of Physical Laws

We advance a framework for an inferential conception of physical laws, addressing the problem of the application of mathematical structures to the relevant structure of physical domains. Physical laws, we argue, express generalizations that work as rules for deriving physically informative inference...

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Main Authors: Cristian Soto, Otávio Bueno
Format: Article
Language:English
Published: Universidade Federal de Santa Catarina 2019-12-01
Series:Principia: An International Journal of Epistemology
Subjects:
Online Access:https://periodicos.ufsc.br/index.php/principia/article/view/70055
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author Cristian Soto
Otávio Bueno
author_facet Cristian Soto
Otávio Bueno
author_sort Cristian Soto
collection DOAJ
description We advance a framework for an inferential conception of physical laws, addressing the problem of the application of mathematical structures to the relevant structure of physical domains. Physical laws, we argue, express generalizations that work as rules for deriving physically informative inferences about their target systems, hence guiding us in our interaction with various domains. Our analysis of the application of mathematics to the articulation of physical laws follows a threefold scheme. First, we examine the immersion of the relevant structure of physical domains into mathematical structures. Second, we assess the inferential power of laws resulting from the mathematical formalism employed in the immersion step. And third, we provide a suitable physical interpretation for the extant mathematical structures obtained from the inferential step. We demonstrate that a deflationary, empiricist framework for an inferential conception of physical laws delivers both an understanding of the mathematical character of physical laws, and a way of responding to some of the standard philosophical riddles associated with laws.
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spelling doaj.art-6720ec9d3da94f07a071ba1c85651e7a2022-12-22T00:45:15ZengUniversidade Federal de Santa CatarinaPrincipia: An International Journal of Epistemology1414-42471808-17112019-12-0123342344410.5007/1808-1711.2019v23n3p42333886A Framework for an Inferential Conception of Physical LawsCristian Soto0Otávio Bueno1Departamento de Filosofía Universidad de Chile ChileDepartment of Philosophy - University of MiamiWe advance a framework for an inferential conception of physical laws, addressing the problem of the application of mathematical structures to the relevant structure of physical domains. Physical laws, we argue, express generalizations that work as rules for deriving physically informative inferences about their target systems, hence guiding us in our interaction with various domains. Our analysis of the application of mathematics to the articulation of physical laws follows a threefold scheme. First, we examine the immersion of the relevant structure of physical domains into mathematical structures. Second, we assess the inferential power of laws resulting from the mathematical formalism employed in the immersion step. And third, we provide a suitable physical interpretation for the extant mathematical structures obtained from the inferential step. We demonstrate that a deflationary, empiricist framework for an inferential conception of physical laws delivers both an understanding of the mathematical character of physical laws, and a way of responding to some of the standard philosophical riddles associated with laws.https://periodicos.ufsc.br/index.php/principia/article/view/70055physical lawsapplied mathematicsmapping accountmathematical structuresphysical structuresempirical generalizations
spellingShingle Cristian Soto
Otávio Bueno
A Framework for an Inferential Conception of Physical Laws
Principia: An International Journal of Epistemology
physical laws
applied mathematics
mapping account
mathematical structures
physical structures
empirical generalizations
title A Framework for an Inferential Conception of Physical Laws
title_full A Framework for an Inferential Conception of Physical Laws
title_fullStr A Framework for an Inferential Conception of Physical Laws
title_full_unstemmed A Framework for an Inferential Conception of Physical Laws
title_short A Framework for an Inferential Conception of Physical Laws
title_sort framework for an inferential conception of physical laws
topic physical laws
applied mathematics
mapping account
mathematical structures
physical structures
empirical generalizations
url https://periodicos.ufsc.br/index.php/principia/article/view/70055
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