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Descartes’s Mathematical Thought

Springer Verlag (2003)

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  1. Metafizyka ruchu w Geometrii Kartezjusza.Błaszczyk Piotr & Mrówka Kazimierz - 2014 - Argument: Biannual Philosophical Journal 4 (2):i-xliv.
    In Book II of The Geometry, Descartes distinguishes some special lines, which he calls geometrical curves. From the mathematical perspective, these curves are identified with polynomials of two variables. In this way, curves, which were understood as continuous quantities in Greek mathematics, turned into objects composed of points in The Geome- try. In this article we present assumptions which led Descartes to this radical change of the concept of curve.
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  • The Development of Descartes’ Idea of Representation by Correspondence.Hanoch Ben-Yami - 2023 - In Andrea Strazzoni & Marco Sgarbi (eds.), Reading Descartes. Consciousness, Body, and Reasoning. Florence: Firenze University Press. pp. 41-57.
    Descartes was the first to hold that, when we perceive, the representation need not resemble what it represents but should correspond to it. Descartes developed this ground-breaking, influential conception in his work on analytic geometry and then transferred it to his theory of perception. I trace the development of the idea in Descartes’ early mathematical works; his articulation of it in Rules for the Direction of the Mind; his first suggestions there to apply this kind of representation-by-correspondence in the scientific (...)
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  • Reading Descartes. Consciousness, Body, and Reasoning.Andrea Strazzoni & Marco Sgarbi (eds.) - 2023 - Florence: Firenze University Press.
    This volume takes cue from the idea that the thought of no philosopher can be understood without considering it as the result of a constant, lively dialogue with other thinkers, both in its internal evolution as well as in its reception, re-use, and assumption as a starting point in addressing past and present philosophical problems. In doing so, it focuses on a feature that is crucially emerging in the historiography of early modern philosophy and science, namely the complexity in the (...)
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  • El dominio cartesiano de la naturaleza: Descartes y el desencantamiento del mundo.Sergio García Rodríguez - 2022 - Pensamiento 78 (298 S. Esp):801-819.
    Este artículo analiza las estrategias utilizadas por Descartes para «desencantar el mundo», a fin de suprimir los elementos herméticos de las explicaciones científicas cartesianas y someter todos los fenómenos naturales a nuestro control. Para ello, apelo a la distinción entre elementos causales —cualidades ocultas— y sus efectos —efectos admirables— como las dos dimensiones que deben ser incorporadas bajo las explicaciones científicas para garantizar el cálculo de los fenómenos y su dominio.
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  • Applying Mathematics to Nature.Maarten Van Dyck - 2021 - In David Marshall Miller & Dana Jalobeanu (eds.), The Cambridge History of Philosophy of the Scientific Revolution. New York, NY: Cambridge University Press. pp. 254-273.
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  • Nietzsche and Heidegger on the Cartesian Atomism of Thought.Steven Burgess - 2013 - Dissertation,
    My dissertation has two main parts. In the first half, I draw out an underlying presupposition of Descartes' philosophy: what I term "atomism of thought." Descartes employs a radical procedure of doubt in order to show that the first principle of his philosophy, the cogito, is an unshakeable foundation of knowledge. In the dialogue that follows his dissemination of the Meditations, Descartes reveals that a whole set of concepts and rational principles innate in our minds are never doubted. These fundamental (...)
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  • The spread and impact of Cartesian philosophy in China: historical and comparative perspectives.John Zijiang Ding - 2018 - Asian Philosophy 28 (2):117-134.
    ABSTRACTCartesian philosophy has had a profound influence on modern Chinese intellectuals since the mid 19th century. After the May Fourth Movement, there have been many Chinese scholars who worked immensely on Cartesian philosophy and conducted fruitful research including translations, biographies, monographs, and a large number of papers. The examination of mind/body has been one of the most important philosophic issues and also a fundamental truth-searching of the various great thinkers, from Confucius and Socrates to many later Eastern and Western philosophers. (...)
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  • De las Conferencias de París al proyecto del Sistema: las últimas presentaciones husserlianas de la fenomenología.Hernán Gabriel Inverso - 2017 - Kriterion: Journal of Philosophy 58 (138):577-598.
    Resumen Husserl emprendió varias presentaciones sintéticas de la fenomenología con el propósito de darla a conocer ante públicos amplios. En el presente trabajo estudiaremos el enfoque de las Conferencias de París, su proyección en las Meditaciones cartesianas y el destino del proyecto de la versión alemana en tensión con la redacción del Sistema de filosofía fenomenológica, a los efectos de establecer sus rasgos distintivos, evaluar los alcances del abandono del neocartesianismo, que suele asociarse con el último período de producción de (...)
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  • The eclectic content and sources of Clavius’s Geometria Practica.John B. Little - 2022 - Archive for History of Exact Sciences 76 (4):391-424.
    We consider the Geometria Practica of Christopher Clavius, S.J., a surprisingly eclectic and comprehensive practical geometry text, whose first edition appeared in 1604. Our focus is on four particular sections from Books IV and VI where Clavius has either used his sources in an interesting way or where he has been uncharacteristically reticent about them. These include the treatments of Heron’s Formula, Archimedes’ Measurement of the Circle, four methods for constructing two mean proportionals between two lines, and finally an algorithm (...)
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  • La buena vida cartesiana: Descartes sobre los bienes terrenales.Sergio García Rodríguez - 2018 - Endoxa 41:54.
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  • Rethinking Sixteenth-Century ‘Lutheran Astronomy’.Gábor Almási - 2014 - Intellectual History Review 24 (1):5-20.
    Narratives about the peaceful and fruitful relationship of religion and science in early-modern times have long since replaced the nineteenth-century vision of the ‘warfare of science with theology...
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  • A solução cartesiana da quadratura do círculo.Davide Crippa - 2010 - Scientiae Studia 8 (4):597-621.
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  • La genèse de la méthode cartésienne : la mathesis universalis et la rédaction de la quatrième des Règles pour la direction de l’esprit.Érico Andrade M. de Oliveira - 2010 - Dialogue 49 (2):173-198.
    ABSTRACT : On many accounts, Rule IV appears to be composed of two distinct texts, and this should be justified by the difference between the mathesis universalis and the Cartesian method. This article runs counter to the usual interpretation by showing that the discussion on mathematics in Rule IV has enabled the introduction of method constraining scientific research to operate on grounds of order and measurement. The mathesis universalis is not so much a science of higher mathematics as a universal (...)
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  • Adriaan van Roomen y la uranografía: el enlace de las disciplinas matemáticas y de la filosofía en los siglos XVI y XVII.Zaqueu Vieira Oliveira - 2018 - Metatheoria – Revista de Filosofía E Historia de la Ciencia 9:13--28.
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