J. Michael Dunn on Information Based Logics (eBook)
XLIII, 436 Seiten
Springer International Publishing (Verlag)
978-3-319-29300-4 (ISBN)
This book celebrates and expands on J. Michael Dunn's work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn's research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or 'gaggles'). Dunn's latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information.
The book opens with Dunn's autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics.
The publication of this book is well timed, since we are living in an 'information age.' Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.Professor Katalin Bimbó is a logician working in the field of non-classical logics. Her main research interests and findings are in the areas of relevance and combinatory logics. She is the author of three books and numerous journal articles. Professor Bimbó held academic positions in the USA, New Zealand and Australia before moving to Canada, where she works at the University of Alberta, in Edmonton.
Professor Katalin Bimbó is a logician working in the field of non-classical logics. Her main research interests and findings are in the areas of relevance and combinatory logics. She is the author of three books and numerous journal articles. Professor Bimbó held academic positions in the USA, New Zealand and Australia before moving to Canada, where she works at the University of Alberta, in Edmonton.
Introduction: From Information at Large to Semantics of Logics.-
Wedge Sum, Merge and Inconsistency.- LC and its Pretabular Relatives.- Epistemic
Relevance and Epistemic Actions.- On Split Negation, Strong Negation,
Information, Falsification, and Verification.- Logical Foundations of Evidential
Reasoning with Contradictory Information.- Mereocompactness and Duality for
Mereotopological Spaces.- Syllogistic Logic with Cardinality Comparisons.
Erscheint lt. Verlag | 2.4.2016 |
---|---|
Reihe/Serie | Outstanding Contributions to Logic |
Zusatzinfo | XLIII, 436 p. 21 illus. |
Verlagsort | Cham |
Sprache | englisch |
Themenwelt | Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika |
Schlagworte | Gaggle theory • Information in reasoning • Many-valued logics • Non-Classical Logics • Relevance logics • Set-theoretical semantics |
ISBN-10 | 3-319-29300-1 / 3319293001 |
ISBN-13 | 978-3-319-29300-4 / 9783319293004 |
Haben Sie eine Frage zum Produkt? |
Größe: 5,3 MB
DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasserzeichen und ist damit für Sie personalisiert. Bei einer missbräuchlichen Weitergabe des eBooks an Dritte ist eine Rückverfolgung an die Quelle möglich.
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich