000 02633nam a22004815i 4500
001 978-94-007-0907-2
003 DE-He213
005 20140220083338.0
007 cr nn 008mamaa
008 110910s2012 ne | s |||| 0|eng d
020 _a9789400709072
_9978-94-007-0907-2
024 7 _a10.1007/978-94-007-0907-2
_2doi
050 4 _aBC1-199
072 7 _aHPL
_2bicssc
072 7 _aPHI011000
_2bisacsh
082 0 4 _a160
_223
100 1 _aShramko, Yaroslav.
_eauthor.
245 1 0 _aTruth and Falsehood
_h[electronic resource] :
_bAn Inquiry into Generalized Logical Values /
_cby Yaroslav Shramko, Heinrich Wansing.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2012.
300 _aXIV, 250 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in Logic ;
_v36
520 _aThe book presents a thoroughly elaborated logical theory of generalized truth values understood as subsets of some established set of (basic) truth entities. After elucidating the importance of the very notion of a truth value in logic and philosophy, the authors examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and Michael Dunn and the notion of a bilattice (a lattice of truth values with two ordering relations) constitute the basis for further generalizations. By doing so the authors elaborate the idea of a multilattice and, most notably, a trilattice of truth values – a specific algebraic structure with an information ordering and two distinct logical orderings, one for truth and another for falsity. Each logical order not only induces its own logical vocabulary, but also determines its own entailment relation. Both semantic ans syntactic ways of formalizing these relations by constructing various logical calculi are considered.
650 0 _aPhilosophy (General).
650 0 _aLogic.
650 0 _aComputer science.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aPhilosophy.
650 2 4 _aLogic.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aMathematical Logic and Formal Languages.
700 1 _aWansing, Heinrich.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400709065
830 0 _aTrends in Logic ;
_v36
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-0907-2
912 _aZDB-2-SHU
999 _c104284
_d104284