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Ways of Infinity

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Salanskis J.-M.
Studies in Logic, Grammar and Rhetoric
|
2016
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vol. 44
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issue 1
169-180
EN
The paper discusses analogies between the way in which infinity is understood and dealt with in mathematics and in Jewish tradition. It begins with recalling the classical debate about infinity in the field of the foundations of mathematics. Reading an important paper by A. Robinson, we come to the conclusion that mathematicians work “as if” infinite totalities existed. They do so by following the rules of their formalized discourse which, at least if it refers to anything at all, also refers to such totalities. The paper describes how, according to Jewish tradition, infinity is also not theological: instead of thinking that they own some infinite being or relate to it, observant Jews follow Jewish law. The analogy is then extended to what is called ‘epistemological infinity’. The paper shows that both in mathematics and in Judaism, we get some epistemological experience of infinity, as far as both Talmudic knowledge and contemporary mathematical encyclopedia are experienced as inexhaustible sources of new thoughts, structures, ideas, developments.
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Truth, Practice, and Philosophy of Culture

100%
Salanskis J.-M.
Eidos. A Journal for Philosophy of Culture
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2020
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vol. 4
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issue 4
EN
The paper offers a glimpse at the diversity of what is labelled Philosophy of Culture, and then brings out some important issues concerning culture (aristocratic vs democratic vision, genealogical unification vs respect of heterogeneity, relevance vs irrelevance of social and historical approach). The first section expounds etho-analysis as a way of doing philosophy of culture, introducing the notions of solicitator, sensance and ethos. It also gives an idea of how its program has been conducted with respect to love or truth. Etho-analysis describes the ideal part of culture, interpreting it as revealed by concrete practice. The second section discusses whether and how far etho-analysis embraces the cause of truth and validates the scholastic tradition which has provided tools for it. Etho-analysis claims to formulate true descriptions. It understands meaning as unfolding its complication thanks to traditional tools, and recognizes the ethical significance of the community of science.
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