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.
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.
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.
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.
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