000 03882nam a22005295i 4500
001 978-3-319-46817-4
003 DE-He213
005 20200420220216.0
007 cr nn 008mamaa
008 161105s2016 gw | s |||| 0|eng d
020 _a9783319468174
_9978-3-319-46817-4
024 7 _a10.1007/978-3-319-46817-4
_2doi
050 4 _aQA8.9-QA10.3
072 7 _aUYA
_2bicssc
072 7 _aMAT018000
_2bisacsh
072 7 _aCOM051010
_2bisacsh
082 0 4 _a005.131
_223
100 1 _aGabbay, Dov M.
_eauthor.
245 1 2 _aA New Perspective on Nonmonotonic Logics
_h[electronic resource] /
_cby Dov M. Gabbay, Karl Schlechta.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aX, 365 p. 80 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart I - Introduction -- Part II - Background Material -- Basic Algebraic and Logical Definitions -- Defeasible Inheritance -- Reiter Defaults and Autoepistemic Logic -- Preferential Structures and Related Concepts -- Deontic Logic, Contrary-to-Duty Obligations -- Theory Revision, Theory Contraction, and Conditionals -- Neurology -- Part III - New Results -- Independence and Interpolation -- Probabilistic and Abstract Independence -- Formal Construction -- The Talmudic Kal Vachomer Rule -- Equational CTD -- Conclusion -- Index.
520 _a"Logics are like shadows on a wall; to understand why they dance as they do, and how they can be made to move differently, one needs to look at the mathematical structures from which they can be projected. That is a methodology that has long proven its value for classical and other forms of deductive inference; this book manifests its pertinence to logics of uncertain qualitative reasoning. It draws together and refines work from the literature on preferential and other quite different semantics for such reasoning and then, in its central chapter, integrates the leading ideas from them into a single multi-dimensional semantics. It enters new territory with investigations of interpolation and qualitative independence in non-monotonic contexts as well as connections between non-monotonic logic and neuroscience, specifically with Edelman's theory of organization of the brain. Finally, it proposes novel applications such as equational modellings for contrary-to-duty normative reasoning and mathematical analyses of some kinds of casuistic reasoning in the Talmudic tradition. Profusely signposted at every turn, the volume is accessible to readers equipped with a modicum of set theory and abstract algebra. Visitors to the area can come in by the front gate and work their way, in various orders, through as much of the garden as strikes their fancy; specialists will enter at Chap. 11 or at whatever special topic interests them, well assured that they can easily backtrack to whatever bits and pieces are needed from what they skipped. A volume with a clear vision, a book to return to many times." (David Makinson).
650 0 _aComputer science.
650 0 _aLogic.
650 0 _aPhilosophy and science.
650 0 _aMathematical logic.
650 0 _aArtificial intelligence.
650 1 4 _aComputer Science.
650 2 4 _aMathematical Logic and Formal Languages.
650 2 4 _aLogic.
650 2 4 _aPhilosophy of Science.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aArtificial Intelligence (incl. Robotics).
700 1 _aSchlechta, Karl.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319468150
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-46817-4
912 _aZDB-2-SCS
942 _cEBK
999 _c51621
_d51621