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Parce que l'infinité divine n'est pas une évidence théologique, Descartes travaille à lui donner un sens particulier : à la fois instauratrice des vérités créées dans les lettres du printemps 1630 et nom divin par excellence selon les exigences de la philosophie première en 1641, elle endosse des déterminations passablement contradictoires, non métaphysiques et pourtant au plus haut point métaphysiques. La détermination de la situation de l'infinité de Dieu chez Descartes au regard d'autres concepts du corpus (immensité, indéfini), de ses rapports au concept aristotélicien d'apeiron et de son histoire médiévale (Thomas d'Aquin, Bonaventure, Henri de Gand, Scot) et moderne (Suarez, Bérulle, Montaigne) doit permettre de faire voir la tension interne dont l'infinité grève la métaphysique cartésienne. Les analyses d'Emmanuel Levinas seront précieuses pour révéler les tensions ici à l'œuvre.
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Infinite. --- Set theory --- Infinite
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We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor's remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Goedel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, `Infinity superseded', which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.
Metaphysics --- Infinite. --- Infini. --- Infinite
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