• La Philosophie des Mathématiques chez Leibniz. Lignes d’investigation

    Author(s):
    Enrico Pasini (see profile)
    Date:
    2001
    Group(s):
    Renaissance / Early Modern Studies, Science Studies and the History of Science
    Subject(s):
    Mathematics--Philosophy, Mathematics, History, Philosophy
    Item Type:
    Conference proceeding
    Conf. Title:
    Nihil sine ratione. Mensch, Natur und Technik im Wirken von G.W. Leibniz. VII. Internationalen Leibniz-Kongreß
    Conf. Org.:
    G.W. Leibniz-Gesellschaft
    Conf. Loc.:
    Berlin
    Conf. Date:
    2001
    Tag(s):
    Leibniz, History and philosophy of mathematics, History of philosophy
    Permanent URL:
    http://dx.doi.org/10.17613/9est-qh17
    Abstract:
    This study of Leibniz's philosophical views on mathematics starts from the rank he assigned to them in the encyclopedia of knowledge. Mathematics, in many Leibnitian writings, is proposed to other disciplines as an example to follow: they are an essential component of the new, at the same time encyclopaedic and demonstrative knowledge he is advocating. If we then consider the object of mathematics and their foundations, we see that Leibniz grants an ideal existence to mathematical notions; an algorithmic existence, via their definition or thanks to procedures; and a kind of Pythagorean existence which is based on the intrinsic rationality of the natural order. On this tripod (either ontological or epistemological) mathematical objects base their existence, which depends in the end on relations between real-world entities, harmony relationships and finality.
    Metadata:
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    Published as:
    Conference proceeding     Show details
    Publisher:
    Gottfried-Wilhelm-Leibniz-Gesellschaft
    Pub. Date:
    2001
    Proceeding:
    Nihil sine ratione. Mensch, Natur und Technik im Wirken von G.W. Leibniz. Akten des VII. Internationalen Leibniz-Kongreß
    Page Range:
    954 - 963
    Status:
    Published
    Last Updated:
    4 years ago
    License:
    Attribution-ShareAlike
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