An Introduction to Proof Theory: Normalization, Cut-Elimination, and Consistency Proofs

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Pre-Order   Ships Oct 17, 2021

Product Details

Price
$35.00
Publisher
Oxford University Press, USA
Publish Date
Pages
432
Language
English
Type
Paperback
EAN/UPC
9780192895943
BISAC Categories:

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About the Author

Paolo Mancosu, UC Berkeley, Sergio Galvan, Catholic University of Milan, Richard Zach, University of Calgary Paolo Mancosu is Willis S. and Marion Slusser Professor of Philosophy at the University of California at Berkeley. He is the author of numerous articles and books in logic and philosophy of mathematics. During his career he has taught at Stanford, Oxford, and Yale. He was awarded a fellowship at theWissenschaftskolleg zu Berlin in 1997-1998, a stipendiary position as Directeur de recherche invité; au CNRS in Paris in 2004-2005, a Guggenheim Fellowship in 2008-2009, a position as member at the Institute of Advanced Study in Princeton in 2009, a visiting professorship as LMU-UCB Research in theHumanities at LMU in 2014, and a Humboldt Research Award in 2017-2018. Sergio Galvan is emeritus Professor of Logic at the Catholic University of Milan, Italy. His main areas of research are proof-theory and philosophical logic. In the first area he focuses on sequent calculi and natural deduction, the metamathematics of arithmetic systems (from Q to PA), Gödel'sincompleteness theorems, and Gentzen's cut-elimination theorem. In the second area, his major interest is in the philosophical interpretations (deontic, epistemic and metaphysical) of modal logic. Recently, he has been working on the relationships between formal proof and intuition in mathematics, and on the metaphysics of essence and the ontology of possibilia. Richard Zach is Professor of Philosophy at the University of Calgary, Canada. He works in logic, history of analytic philosophy, and the philosophy of mathematics. In logic, his main interests are non-classical logics and proof theory. He has also written on the development of formal logic andhistorical figures associated with this development such as Hilbert, Gödel, and Carnap. He has held visiting appointments at the University of California, Irvine, McGill University, and the University of Technology, Vienna.