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Математика Нового времени (XVII в.)
Математика Нового времени (XVII в.)
Schuster J. Descartes-Agonistes: Physico-mathematics, Method & Corpuscular-Mechanism 1618-1633. 2013.



Schuster J. Descartes-Agonistes: Physico-mathematics, Method & Corpuscular-Mechanism 1618-1633. - Springer, 2013. - 631 p.

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This book reconstructs key aspects of the early career of Descartes from 1618 to 1633; that is, up through the point of his composing his first system of natural philosophy, Le Monde, in 1629-
33. It focuses upon the overlapping and intertwined development of Descartes’ projects in physico-mathematics, analytical mathematics, universal method, and, finally, systematic corpuscular-mechanical natural philosophy. The concern is not simply with the conceptual and technical aspects of these projects; but, with Descartes’ agendas within them and his construction and presentation of his intellectual identity in relation to them.
Descartes’ technical projects, agendas and senses of identity shifted over time, entangled and displayed great successes and deep failures, as he morphed from a mathematically competent, Jesuit trained graduate in neo-Scholastic Aristotelianism to aspiring prophet of a systematised corpuscular-mechanism, passing through stages of being a committed physico-mathematicus, advocate of a putative ‘universal mathematics’, and projector of a grand methodological dream. In all three dimensions—projects, agendas and identity concerns—the young Descartes struggled and contended, with himself and with real or virtual peers and competitors, hence the title Descartes-Agonistes.

CONTENTS
Introduction: Problems of Descartes and the Scientific Revolution.
Conceptual and Historiographical Foundations—Natural Philosophy, Mixed Mathematics, Physico-mathematics, Method.
‘Recalled to Study’—Descartes, Physico-Mathematicus.
Descartes Opticien: The Optical Triumph of the 1620s.
Analytical Mathematics, Universal Mathematics and Method: Descartes’ Identity and Agenda Entering the 1620s.
Method and the Problem of the Historical Descartes.
Universal Mathematics Interruptus: The Program of the Later Regulae and Its Collapse 1626–1628.
Reinventing the Identity and Agenda: Descartes, Physico-Mathematical Philosopher of Nature 1629–1633.
Reading Le Monde as Pedagogy and Fable.
‘Waterworld’: Descartes’ Vortical Celestial Mechanics and Cosmological Optics in Le Monde.
Le Monde as a System of Natural Philosophy and Gambit in the Field.
Cosmography, Realist Copernicanism and Systematising Strategy in the Principia Philosophiae.
Conclusion: The Young and the Mature Descartes Agonistes.
Appendix 1: Descartes, Mydorge and Beeckman: The Evolution of Cartesian Lens Theory 1627–1637.
Appendix 2: Decoding Descartes’ Vortex Celestial Mechanics in the Text of Le Monde.
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