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Theoretical lattices and formal concept analysis, tools for metatheoretic structuralism

Espinosa Aldama, Mariana and Casanueva López, Mario (2023) Theoretical lattices and formal concept analysis, tools for metatheoretic structuralism. THEORIA. An International Journal for Theory, History and Foundations of Science, 38 (1). pp. 45-66. ISSN 2171-679X

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Abstract

We propose to take advantage of the computational methodologies of formal concept analysis and network visualization to represent and study the internal structure of axiomatized theories. This exercise was put into practice by comparing more than 44 theoretical models of space-time and gravitation. The lattices can be explored with interactive visualizations known as macroscopes that highlight relations of specialization, theorization, hierarchical orderings, communities and classes of components. In this text we exemplify with the reconstruction of classical particle mechanics, theories of space-time and gravitation.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Espinosa Aldama, Marianamariana.espinosa.aldama@gmail.com0000-0002-8934-375X
Casanueva López, Mariomario.casanueva@gmail.com0009-0001-6859-3231
Additional Information: ISSN: 0495-4548 (print)
Keywords: formal concept analysis, model theory, theoretic networks, classical mechanics, space-time, gravitation
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > History of Science Case Studies
General Issues > Models and Idealization
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 23 Jun 2023 12:16
Last Modified: 23 Jun 2023 12:16
Item ID: 22236
Journal or Publication Title: THEORIA. An International Journal for Theory, History and Foundations of Science
Publisher: Euskal Herriko Unibertsitatea / Universidad del País Vasco
Official URL: https://ojs.ehu.eus/index.php/THEORIA/article/view...
DOI or Unique Handle: https://doi.org/10.1387/theoria.24078
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > History of Science Case Studies
General Issues > Models and Idealization
Date: 2023
Page Range: pp. 45-66
Volume: 38
Number: 1
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/22236

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