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Le manuscrit « Tempus et locus ». L’espace newtonien et la prisca theologia
Published 2022-06-01“…Our aim is to show that this little-known manuscript requires a re-examination of any positivist interpretation of the concept of absolute space as this was simultaneously being developed in the first edition of the De Philosophiae naturalis principia mathematica. This article shows the importance of theological issues to Newton’s conceptualisation of space, highlighting their presence in all of Newton’s scientific work.…”
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Russell And Frege On The Logic of Functions
Published 2009-10-01“…I compare Russell’s theory of mathematical functions, the “descriptive functions” from Principia Mathematica ∗30, with Frege’s well known account of functions as “unsaturated” entities. …”
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The Digital and the Real Universe Foundations of Natural Philosophy and Computational Physics
Published 2019-01-01“…This example underlines that modern physics, in the tradition of Newton’s Principia Mathematica Philosophiae Naturalis, is a further development of natural philosophy with the rigorous methods of mathematics, measuring, and computing. …”
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Newtonova metodologie a kritika mechanického materialismu
Published 2020-12-01“…V tomto článku budou představeny základní aspekty metodologie Isaaca Newtona aplikované v Principia Mathematica na řešení otázky povahy gravitační síly. …”
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Russell e Frege sobre a Lógica das Funções
Published 2022-08-01“… Neste artigo eu comparo a teoria das funções Matemáticas de Russell, às “funções descritivas” do Principia Mathematica ∗30, com a conhecida explicação de Frege das funções como entidades “insaturadas”. …”
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How to Complete Quantum Mechanics, or, What It’s Like to Be a Naturally Creative Bohmian Beable
Published 2021-10-01“…In another essay, I’ve argued by means of a formal analogy between (i) the incompleteness of Principia Mathematica-style systems of mathematical logic (logico-mathematical incompleteness) and (ii) the incompleteness of the Standard Models in contemporary physics (physico-mechanical incompleteness), that (iii) just as the fact of logico-mathematical incompleteness entails the existence of mathematical creativity, so too the fact of physico-mechanical incompleteness entails the existence of natural creativity. …”
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“Surveyability” in Hilbert, Wittgenstein and Turing
Published 2023-01-01“…Wittgenstein’s 1939 investigations of the significance of surveyability to the concept of “proof “in <i>Principia Mathematica</i> were influenced, both by Turing’s remarkable everyday analysis of the Hilbertian idea, and by conversations with Turing. …”
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This Special Issue presents a set of papers presented to the special session "design generation and evolution of flow systems" of the 7-th International Conference on Diffusion in...
Published 2012“…From the very early days where some basic ideas in fluid motion were introduced (complex flows over objects in streams were observed and sketches drawn by Leonardo da Vinci (1452 – 1519)), to the essential contribution of Newton’s Book II of Principia Mathematica (1687), where a mathematical formulation of fluid flow started to take shape, and to the present it has been a long and fruitful journey. …”
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Negotiating the Principia: the failure of Newton's arguments to persuade his readers, 1684-94
Published 2021“…<p>When Isaac Newton’s 'Principia Mathematica' was published in the summer of 1687, it met with immediate acclaim. …”
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