Proof analysis: a contribution to Hilbert's last problem
This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof th...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; São Paulo ; Delhi ; Tokyo ; Mexico City
Cambridge University Press
2011
|
| Subjects: | |
| Online Access: | BSB01 FHN01 FUBA1 UBG01 Volltext |
| Summary: | This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians |
| Physical Description: | 1 Online-Ressource (xi, 265 Seiten) |
| ISBN: | 9781139003513 |
| DOI: | 10.1017/CBO9781139003513 |
Staff View
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| dewey-ones | 511 - General principles of mathematics |
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| dewey-search | 511.3/6 |
| dewey-sort | 3511.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
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| isbn | 9781139003513 |
| language | English |
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| spelling | Negri, Sara 1967- Verfasser (DE-588)173487084 aut Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato, University of Helsinki Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; São Paulo ; Delhi ; Tokyo ; Mexico City Cambridge University Press 2011 1 Online-Ressource (xi, 265 Seiten) txt rdacontent c rdamedia cr rdacarrier This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians Proof theory Beweistheorie (DE-588)4145177-6 gnd rswk-swf Beweistheorie (DE-588)4145177-6 s DE-604 Plato, Jan von 1951- Verfasser (DE-588)171423615 aut Erscheint auch als Druck-Ausgabe, Hardcover 978-1-107-00895-3 (DE-604)BV040128857 Erscheint auch als Druck-Ausgabe 978-1-107-41723-6 https://doi.org/10.1017/CBO9781139003513 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Negri, Sara 1967- Plato, Jan von 1951- Proof analysis a contribution to Hilbert's last problem Proof theory Beweistheorie (DE-588)4145177-6 gnd |
| subject_GND | (DE-588)4145177-6 |
| title | Proof analysis a contribution to Hilbert's last problem |
| title_auth | Proof analysis a contribution to Hilbert's last problem |
| title_exact_search | Proof analysis a contribution to Hilbert's last problem |
| title_full | Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato, University of Helsinki |
| title_fullStr | Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato, University of Helsinki |
| title_full_unstemmed | Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato, University of Helsinki |
| title_short | Proof analysis |
| title_sort | proof analysis a contribution to hilbert s last problem |
| title_sub | a contribution to Hilbert's last problem |
| topic | Proof theory Beweistheorie (DE-588)4145177-6 gnd |
| topic_facet | Proof theory Beweistheorie |
| url | https://doi.org/10.1017/CBO9781139003513 |
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