A construção de uma teoria de ensembles: antecedentes em Maxwell e Boltzmann

Laranjeiras, Cássio C.; Chiappin, José Raymundo Novaes

doi:10.1590/s1806-11172008000100015

Cited by 2 publications

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“…This is the case in the work of Helmholtz, Boltzmann, Clausius, and Maxwell (Laranjeiras 2002;Laranjeiras and Chiappin 2006). Helmholtz employed the mechanistic program according to the analytic method, where the hypothesis of a system of hidden masses in motion assumes the form of monocyclic systems, generated by Lagrange's equations, to build up mechanical illustrations, for instance of the second law of thermodynamics (Laranjeiras and Chiappin 2008). Helmholtz's work was the source for Boltzmann, Clausius, and Gibbs.…”

Section: Duhem's Analysis and Objections To The Analytic Approach To Mechanicismmentioning

confidence: 99%

Duhem’s Critical Analysis of Mechanicism and his Defense of a Formal Conception of Theoretical Physics

Chiappin

Laranjeiras

2017

Transversal

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The aim of this paper is to present Duhem’s critical view of the dynamical development of mechanics according to two principles of his theory of the development of physics: the continuous and the rational development of physics. These two principles impose a formal conception of physics that aims at demarcating physics from the metaphysical view on the one hand and the pragmatist/conventionalist view on the other hand. Duhem pursues an intermediary conception of physics, a representational system of empirical laws based upon formal principles. This formal conception of physics will adjust to his idea of scientific progress in the form of a sequence of representational systems as structures of increasing comprehensiveness of empirical laws, which leads him to defend a convergent structural realism pointing to an ideal physical theory.

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Section: Duhem's Analysis and Objections To The Analytic Approach To Mechanicismmentioning

confidence: 99%

Duhem’s Critical Analysis of Mechanicism and his Defense of a Formal Conception of Theoretical Physics

Chiappin

Laranjeiras

2017

Transversal

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The heuristics of representation in science: the mechanisms and mathematical principles in physics of Descartes and Fermat

Laranjeiras

Silva

Chiappin

2017

Rev. Bras. Ensino Fís.

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The objective of this article, which is part of the research program developed by the authors on the role of representation in science and science education, is to highlight the use of mechanisms and mathematical principles as representational heuristics of physical phenomena. They have been used by Descartes and Fermat in their respective investigations in the field of optics, more specifically in their analysis of the light refraction phenomenon. With examples drawn from the works of the cited authors, we sought to reveal the distinct, but not exclusive commitments and conceptions about the dynamics involved in building and developing scientific theories. From the heuristic point of view, we raise the hypothesis of the complementarity and convergence between both representations, with the argument it's up to the mechanisms to capture the constituting material principle of the phenomenon, while the abstract mathematical principles should take care of its formal organization. By emphasizing aspects related to the dynamics of the construction and development of scientific theories, heuristic elements essential to an understanding of the Nature of Science (NOS) and therefore relevant to the Descartes, Fermat, Epistemology of physics, Heuristics, Physics Education teaching and learning process of physics will emerge. Keywords: Descartes, Fermat, Epistemology of physics, Heuristics, Physics Education O objetivo deste artigo, que faz parte de um programa de pesquisa desenvolvido pelos autores sobre o papel da representação na ciência e no ensino de ciências,é destacar o uso de mecanismos e princípios matemáticos como heurísticas representacionais dos fenômenos físicos e utilizada, respectivamente, por Descartes e Fermat em suas investigações no campo daóptica, mais especificamente em suas análises do fenômeno da refração da luz. Com exemplos extraídos da obra dos referidos autores, buscamos explicitar compromissos e concepções distintas, mas não excludentes, acerca da dinâmica de construção e desenvolvimento de teorias científicas. Do ponto de vista heurístico, levantamos a tese da complementaridade e convergência entre ambas as representações, sob o argumento de que caberia aos mecanismos capturar o princípio material constitutivo do fenômeno, enquanto os princípios matemáticos abstratos se encarregariam da sua organização formal. Ao enfatizar aspectos relacionadosà dinâmica de construção e desenvolvimento de teorias científicas, elementos heurísticos essenciais a uma compreensão da Natureza da Ciência e, portanto, relevantes ao processo de ensino e aprendizagem da Física, surgirão.

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A construção de uma teoria de ensembles: antecedentes em Maxwell e Boltzmann

Cited by 2 publications

References 1 publication

Duhem’s Critical Analysis of Mechanicism and his Defense of a Formal Conception of Theoretical Physics

Duhem’s Critical Analysis of Mechanicism and his Defense of a Formal Conception of Theoretical Physics

The heuristics of representation in science: the mechanisms and mathematical principles in physics of Descartes and Fermat

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