Sara Negri, Jan Von Plato, Sara Negri

Proof Analysis

A Contribution to Hilbert's Last Problem

• Broschiertes Buch

Produktbeschreibung

Presents a new way of applying the methods of proof theory to axiomatic theories and systems of philosophical logic.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 278
• Erscheinungstermin: 6. Januar 2014
• Englisch
• Abmessung: 244mm x 170mm x 15mm
• Gewicht: 485g
• ISBN-13: 9781107417236
• ISBN-10: 1107417236
• Artikelnr.: 40950423

Autorenporträt

Sara Negri is Docent of Logic at the University of Helsinki. She is the author of Structural Proof Theory (Cambridge University Press, 2001, with Jan von Plato) and she has also written several research papers on mathematical and philosophical logic.

Inhaltsangabe

Prologue: Hilbert's Last Problem
1. Introduction
Part I. Proof Systems Based on Natural Deduction: 2. Rules of proof: natural deduction
3. Axiomatic systems
4. Order and lattice theory
5. Theories with existence axioms
Part II. Proof Systems Based on Sequent Calculus: 6. Rules of proof: sequent calculus
7. Linear order
Part III. Proof Systems for Geometric Theories: 8. Geometric theories
9. Classical and intuitionistic axiomatics
10. Proof analysis in elementary geometry
Part IV. Proof Systems for Nonclassical Logics: 11. Modal logic
12. Quantified modal logic, provability logic, and so on
Bibliography
Index of names
Index of subjects.