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Leibniz and Newton on Space

Foundations of Science 18 (3):467-497 (2013)

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  1. Logic, mathematics, physics: from a loose thread to the close link: Or what gravity is for both logic and mathematics rather than only for physics.Vasil Penchev - 2023 - Astrophysics, Cosmology and Gravitation Ejournal 2 (52):1-82.
    Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...)
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  • Contextualizing Newton and Clarke’s “Argument from Quantity”.Jen Nguyen - 2023 - Hopos: The Journal of the International Society for the History of Philosophy of Science 13 (1):1-23.
    According to Newton and Clarke, Leibniz’s relationalism cannot make sense of distance quantities. Although the core of Newton and Clarke’s “argument from quantity” is clear enough, its details remain unclear because we do not know what its key term “quantity” means. This key term is still unsettled because, unlike Leibniz, who loudly voices his view of quantity in both his correspondence with Clarke and in his philosophical essays on quantity, Newton and Clarke are frustratingly terse when it comes to defining (...)
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  • Local Holism and Semantic Change in the Kuhn’s Theory.Daniel Labrador-Montero - 2024 - Revista Colombiana de Filosofía de la Ciencia 24 (48).
    This article aims to delve into the concept of taxonomic incommensurability as advocated by Thomas Kuhn from the 1980s onward. According to Kuhn, in this more local and moderate interpretation, the incommensurability between theories results from the semantic alteration of certain central terms, which he refers to as 'taxonomic categories'. He argues that these categories are holistically inter-defined, such that altering the meaning of any one term necessitates a redefinition of the others. To draw examples of such localized holism and (...)
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  • (1 other version)Newton versus Leibniz: intransparency versus inconsistency.Karin Verelst - 2014 - Synthese 191 (13):2907-2940.
    In this paper I argue that inconsistencies in scientific theories may arise from the type of causality relation they—tacitly or explicitly—embody. All these seemingly different causality relations can be subsumed under a general strategy developed to defeat the paradoxes which inevitably occur in our experience of the real. With respect to this, scientific theories are just a subclass of the larger class of metaphysical theories, construed as theories that attempt to explain a (part of) the world consistently. All metaphysical theories (...)
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