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Axiomatic Foundations of Rigid Body Mechanics

Dissertation, Stanford University (1956)

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  1. Structuralism, model theory and reduction.Karl-Georg Niebergall - 2002 - Synthese 130 (1):135 - 162.
    In this paper, the (possible) role of model theory forstructuralism and structuralist definitions of ``reduction'' arediscussed. Whereas it is somewhat undecisive with respect tothe first point – discussing some pro's and con's ofthe model theoretic approach when compared with a syntacticand a structuralist one – it emphasizes that severalstructuralist definitions of ``reducibility'' do not providegenerally acceptable explications of ``reducibility''. This claimrests on some mathematical results proved in this paper.
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  • An axiomatic approach to first law thermodynamics.Michael A. Day - 1977 - Journal of Philosophical Logic 6 (1):119 - 134.
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  • Explicar y contrastar.Santiago Ginnobili & Christián Carman - 2016 - Critica 48 (142):57-86.
    Resumen: Usualmente se ha asumido que una única distinción puede dar cuenta del rol que cumplen los conceptos en una teoría respecto de la contrastación y respecto de la explicación. Intentaremos mostrar que esta asunción es incorrecta. Por una parte, no hay razones para considerar que esta coincidencia deba darse, y por otra, como se intentará mostrar a partir de varios ejemplos, de hecho, no se da. La base de contrastación de una teoría no tiene por qué coincidir con el (...)
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  • Reconstrucción estructuralista de la teoría de la selección natural.Santiago Ginnobili - 2012 - Agora 31 (2):143-169.
    Aunque parece una teoría relativamente simple, la teoría de la selección natural ha traído muchas discusiones al respecto de su reconstrucción. En particular, los autores han tenido dificultades a la hora de elucidar el concepto de aptitud (fitness) adecuadamente. El punto de vista de este trabajo consiste en que para entender adecuadamente esta cuestión, y además, para dar cuenta de manera adecuada de las explicaciones seleccionistas, tanto las dadas por Darwin como sus aplicaciones más actuales, es necesario a la hora (...)
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  • A logical study of the correspondence relation.David Pearce & Veikko Rantala - 1984 - Journal of Philosophical Logic 13 (1):47 - 84.
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  • On the logic of reducibility: Axioms and examples. [REVIEW]Karl-Georg Niebergall - 2000 - Erkenntnis 53 (1-2):27-61.
    This paper is an investigation into what could be a goodexplication of ``theory S is reducible to theory T''''. Ipresent an axiomatic approach to reducibility, which is developedmetamathematically and used to evaluate most of the definitionsof ``reducible'''' found in the relevant literature. Among these,relative interpretability turns out to be most convincing as ageneral reducibility concept, proof-theoreticalreducibility being its only serious competitor left. Thisrelation is analyzed in some detail, both from the point of viewof the reducibility axioms and of modal logic.
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  • Meta-Theoretical Contributions to the Constitution of a Model-Based Didactics of Science.Yefrin Ariza, Pablo Lorenzano & Agustín Adúriz-Bravo - 2016 - Science & Education 25 (7-8):747-773.
    There is nowadays consensus in the community of didactics of science regarding the need to include the philosophy of science in didactical research, science teacher education, curriculum design, and the practice of science education in all educational levels. Some authors have identified an ever-increasing use of the concept of ‘theoretical model’, stemming from the so-called semantic view of scientific theories. However, it can be recognised that, in didactics of science, there are over-simplified transpositions of the idea of model. In this (...)
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  • Accidental ('non-substantial') theory change and theory dislodgement: To what extent logic can contribute to a better understanding of certain phenomena in the dynamics of theories. [REVIEW]Wolfgang Stegmüller - 1976 - Erkenntnis 10 (2):147 - 178.
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  • A combined approach to the dynamics of theories.Wolfgang Stegmüller - 1978 - Theory and Decision 9 (1):39-75.
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  • Review. [REVIEW]Veikko Rantala - 1991 - Synthese 86 (2):297-319.
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  • Dynamical Phenomena and Their Models: Truth and Empirical Correctness.Marco Giunti - 2023 - Foundations of Science 28 (1):327-375.
    In the epistemological tradition, there are two main interpretations of the semantic relation that an empirical theory may bear to the real world. According to realism, the theory-world relationship should be conceived as truth; according to instrumentalism, instead, it should be limited to empirical adequacy. Then, depending on how empirical theories are conceived, either syntactically as a class of sentences, or semantically as a class of models, the concepts of truth and empirical adequacy assume different and specific forms. In this (...)
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  • A Representational Approach to Reduction in Dynamical Systems.Marco Giunti - 2014 - Erkenntnis 79 (4):943-968.
    According to the received view, reduction is a deductive relation between two formal theories. In this paper, I develop an alternative approach, according to which reduction is a representational relation between models, rather than a deductive relation between theories; more specifically, I maintain that this representational relation is the one of emulation. To support this thesis, I focus attention on mathematical dynamical systems and I argue that, as far as these systems are concerned, the emulation relation is sufficient for reduction. (...)
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