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  1. Fiction, possibility and impossibility: three kinds of mathematical fictions in Leibniz’s work.Oscar M. Esquisabel & Federico Raffo Quintana - 2021 - Archive for History of Exact Sciences 75 (6):613-647.
    This paper is concerned with the status of mathematical fictions in Leibniz’s work and especially with infinitary quantities as fictions. Thus, it is maintained that mathematical fictions constitute a kind of symbolic notion that implies various degrees of impossibility. With this framework, different kinds of notions of possibility and impossibility are proposed, reviewing the usual interpretation of both modal concepts, which appeals to the consistency property. Thus, three concepts of the possibility/impossibility pair are distinguished; they give rise, in turn, to (...)
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