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Mathematics and Optimal Form

W H Freeman & Company (1985)

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  1. Leibniz on Natural Teleology and the Laws of Optics.Jeffrey K. Mcdonough - 2009 - Philosophy and Phenomenological Research 78 (3):505-544.
    This essay examines one of the cornerstones of Leibniz's defense of teleology within the order of nature. The first section explores Leibniz's contributions to the study of geometrical optics, and argues that his "Most Determined Path Principle" or "MDPP" allows him to bring to the fore philosophical issues concerning the legitimacy of teleological explanations by addressing two technical objections raised by Cartesians to non-mechanistic derivations of the laws of optics. The second section argues that, by drawing on laws such as (...)
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  • Leibniz and the Foundations of Physics: The Later Years.Jeffrey K. McDonough - 2016 - Philosophical Review 125 (1):1-34.
    This essay offers an account of the relationship between extended Leibnizian bodies and unextended Leibnizian monads, an account that shows why Leibniz was right to see intimate, explanatory connections between his studies in physics and his mature metaphysics. The first section sets the stage by introducing a case study from Leibniz's technical work on the strength of extended, rigid beams. The second section draws on that case study to introduce a model for understanding Leibniz's views on the relationship between derivative (...)
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