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    3. Paradoxes and Inconsistent Mathematics

    Paradoxes and Inconsistent Mathematics

    Posted By: IrGens
    Date: 24 Nov 2021 00:09:15
    Paradoxes and Inconsistent Mathematics

    Paradoxes and Inconsistent Mathematics by Zach Weber
    English | October 21, 2021 | ISBN: 1108834418 | True PDF | 260 pages | 8.4 MB

    Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries.

    In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.
    UPWARDS