Paradoxes and Inconsistent Mathematics

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.