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  1. Articulating Space in Terms of Transformation Groups: Helmholtz and Cassirer.Francesca Biagioli - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    Hermann von Helmholtz’s geometrical papers have been typically deemed to provide an implicitly group-theoretical analysis of space, as articulated later by Felix Klein, Sophus Lie, and Henri Poincaré. However, there is less agreement as to what properties exactly in such a view would pertain to space, as opposed to abstract mathematical structures, on the one hand, and empirical contents, on the other. According to Moritz Schlick, the puzzle can be resolved only by clearly distinguishing the empirical qualities of spatial perception (...)
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  • The Epistemological Question of the Applicability of Mathematics.Paola Cantù - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    The question of the applicability of mathematics is an epistemological issue that was explicitly raised by Kant, and which has played different roles in the works of neo-Kantian philosophers, before becoming an essential issue in early analytic philosophy. This paper will first distinguish three main issues that are related to the application of mathematics: indispensability arguments that are aimed at justifying mathematics itself; philosophical justifications of the successful application of mathematics to scientific theories; and discussions on the application of real (...)
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  • Perception and Coincidence in Helmholtz’s Theory of Measurement.Matthias Neuber - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    The present paper is concerned with Helmholtz’s theory of measurement. It will be argued that an adequate understanding of this theory depends on how Helmholtz’s application of the concepts of perception and coincidence is interpreted. In contrast both to conventionalist and Kantian readings of Helmholtz’s theory, a more realistic interpretation will be suggested.
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  • Helmholtz and Philosophy: Science, Perception, and Metaphysics, with Variations on Some Fichtean Themes.Gary Hatfield - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    This article considers Helmholtz’s relation to philosophy, including Fichte’s philosophy. Recent interpreters find Fichtean influence on Helmholtz, especially concerning the role of voluntary movement in distinguishing subject from object, or “I” from “not-I.” After examining Helmholtz’s statements about Fichte, the article describes Fichte’s ego-doctrine and asks whether Helmholtz could accept it into his sensory psychology. He could not accept Fichte’s core position, that an intrinsically active I intellectually intuits its own activity and posits the not-I as limiting and determining that (...)
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  • Laws of Thought and Laws of Logic After Kant.Lydia Patton - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: Routledge. pp. 123-137.
    George Boole emerged from the British tradition of the “New Analytic”, known for the view that the laws of logic are laws of thought. Logicians in the New Analytic tradition were influenced by the work of Immanuel Kant, and by the German logicians Wilhelm Traugott Krug and Wilhelm Esser, among others. In his 1854 work An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Boole argues that the laws of thought acquire (...)
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  • Maxwell, Helmholtz, and the Unreasonable Effectiveness of the Method of Physical Analogy.Alisa Bokulich - 2015 - Studies in History and Philosophy of Science Part A 50:28-37.
    The fact that the same equations or mathematical models reappear in the descriptions of what are otherwise disparate physical systems can be seen as yet another manifestation of Wigner's “unreasonable effectiveness of mathematics.” James Clerk Maxwell famously exploited such formal similarities in what he called the “method of physical analogy.” Both Maxwell and Hermann von Helmholtz appealed to the physical analogies between electromagnetism and hydrodynamics in their development of these theories. I argue that a closer historical examination of the different (...)
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  • Maxwellian Electrodynamics Genesis and Development: Intertheoretic Context.Rinat Magdievich Nugayev - 2016 - Spontaneous Generations 8 (1):55-92.
    Key words: rationality, communication, maxwellian revolution, Ampere-Weber research programme, synthesis, Kantian epistemology.. Why did Maxwell’s programme supersede the Ampere-Weber one? – To answer the question one has to consider the intertheoretic context of maxwellian electrodynamics genesis and development. It is demonstrated that maxwellian electrodynamics was created as a result of the old pre-maxwellian programmes reconciliation: the electrodynamics of Ampere-Weber, the wave theory of Young-Fresnel and Faraday’s programme. The programmes’ meeting led to construction of the hybrid theory at first with an (...)
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  • Bohr and Wittgenstein on Language and Reality: Stig Stenholm: The Quest for Reality: Bohr and Wittgenstein: Two Complementary Views. Oxford: Oxford University Press, 2011, 222pp, $62.95 HB.Alisa Bokulich - 2014 - Metascience 23 (1):79-82.
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  • Communicative Rationality of the Maxwellian Revolution.Rinat M. Nugayev - 2015 - Foundations of Science 20 (4):447-478.
    It is demonstrated that Maxwellian electrodynamics was created as a result of the old pre-Maxwellian programmes’s reconciliation: the electrodynamics of Ampère–Weber, the wave theory of Young–Fresnel and Faraday’s programme. Maxwell’s programme finally superseded the Ampère–Weber one because it assimilated the ideas of the Ampère–Weber programme, as well as the presuppositions of the programmes of Young–Fresnel and Faraday. Maxwell’s victory became possible because the core of Maxwell’s unification strategy was formed by Kantian epistemology. Maxwell put forward as a basic synthetic principle (...)
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  • Helmholtz’s Kant Revisited : The All-Pervasive Nature of Helmholtz's Struggle with Kant's Anschauung.Liesbet De Kock - 2016 - Studies in History and Philosophy of Science Part A 56:20-32.
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  • Hermann von Helmholtz.Lydia Patton - 2008 - Stanford Encyclopedia of Philosophy.
    Hermann von Helmholtz (1821-1894) participated in two of the most significant developments in physics and in the philosophy of science in the 19th century: the proof that Euclidean geometry does not describe the only possible visualizable and physical space, and the shift from physics based on actions between particles at a distance to the field theory. Helmholtz achieved a staggering number of scientific results, including the formulation of energy conservation, the vortex equations for fluid dynamics, the notion of free energy (...)
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