Zach Weber (New Zealand University of Otago)

Paradoxes and Inconsistent Mathematics

• Broschiertes Buch

Produktbeschreibung

Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses 'dialetheic paraconsistency' â a formal framework where some contradictions can be true without absurdity â as the basis for developing this idea rigorously, from mathematical foundations up.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 338
• Erscheinungstermin: 4. April 2024
• Englisch
• Abmessung: 244mm x 170mm x 18mm
• Gewicht: 590g
• ISBN-13: 9781108995009
• ISBN-10: 1108995004
• Artikelnr.: 70243448

Autorenporträt

Zach Weber is Associate Professor of Philosophy at the University of Otago, New Zealand.

Inhaltsangabe

Part I. What are the Paradoxes?: Introduction to an inconsistent world
1. Paradoxes
or, 'here in the presence of an absurdity'
Part II. How to Face the Paradoxes?: 2. In search of a uniform solution
3. Metatheory and naive theory
4. Prolegomena to any future inconsistent mathematics. Part III. Where are the Paradoxes?: 5. Set theory
6. Arithmetic
7. Algebra
8. Real analysis
9. Topology. Part IV. Why Are there Paradoxes?: 10. Ordinary paradox.