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Logique de Port-Royal ([Nouvelle Edition])

Hachette Livre - Bnf (2012)

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  1. On the status of proofs by contradiction in the seventeenth century.Paolo Mancosu - 1991 - Synthese 88 (1):15 - 41.
    In this paper I show that proofs by contradiction were a serious problem in seventeenth century mathematics and philosophy. Their status was put into question and positive mathematical developments emerged from such reflections. I analyse how mathematics, logic, and epistemology are intertwined in the issue at hand. The mathematical part describes Cavalieri's and Guldin's mathematical programmes of providing a development of parts of geometry free of proofs by contradiction. The logical part shows how the traditional Aristotelean doctrine that perfect demonstrations (...)
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  • The skeptical cartesian background of Hume's "of the academical or sceptical philosophy".José R. Maia Neto - 2015 - Kriterion: Journal of Philosophy 56 (132):371-392.
    ABSTRACT In section XII of the First Inquiry, Hume refers to the two Hellenistic schools of skepticism to present his own view of skepticism, which, however, depends on the ancient skeptics mainly indirectly. Hume's view of skepticism depends crucially on Descartes and post-Cartesian philosophers such as Pascal, Huet, Foucher and Bayle, who reacted skeptically to major Cartesian doctrines but followed one version or other of Descartes's methodical doubt. Although all these post-Cartesian philosophers are relevant in section XII, I focus on (...)
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