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Presentation of the Universality of Thought in the XVIIth century: cartesian intuitionism and leibnizian formalism

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Author(s):
Fábio Mascarenhas Nolasco
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Filosofia e Ciências Humanas
Defense date:
Examining board members:
Enéias Forlin; Érico Andrade Marques Oliveira; Ethel Menezes Rocha
Advisor: Enéias Forlin
Abstract

Our effort in this dissertation was to present a point of view - fragmentary and unachieved as it ought to be - concerning the historical development of the conjunction between Mathematics and Philosophy which has so characteristically marked the XVIIth century; a conjunction denoted by the terms more geometrico, mathesis universalis, algebra, to name but a few. And this, due to the further goal of approaching, afterwards, the more generic question of situating such a conjunction, specific of the XVIIth century, in regards to other conformations of the relation between Philosophy and Mathematics, namely the ones which are of our present interest, that of the German Idealism of the early XIXth century, and that of the first moments of what came to be called as Analytic Philosophy, of the first years of the XXth century. So as to approach the more basic part of this goal, we have thus tried to present two moments of this specifical XVIIth century conjunction between Mathematics and Philosophy which, in our opinion, touch a very large array of symptomatic questions of the period: (i) the cartesian conformation between mathematics and philosophy, said to be the inauguration of modernity, typified by the concept of intuitionism, and (ii) the leibnizian conformation, typified by the concept of formalism. We claim that such an exposition, which only touches the two poles of the movement, even if incomplete for not treating themes from Hobbes, Pascal, Spinoza and Locke's Philosophy, in among others, nevertheless presents the general outlines of the development we are trying to enlighten: as if the moment of Leibniz' criticism to Descartes, and the leibnizian re-conformation of the said conjunction, could be taken as an exemplary characterization of the development of the relation between mathematics and philosophy of the XVIIth century (AU)