000 02543nam a22003135i 4500
001 38091
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005 20240411192410.0
008 181005s2018 nyu s 000 0 eng
010 _a 2018960381
020 _a9783030032531
035 _a20698630
040 _aDLC
_beng
_erda
_cDLC
042 _apcc
100 1 _aDe Swart, Harrie.
245 1 0 _aPhilosophical and mathematical logic /
_cHarrie De Swart.
263 _a1810
264 1 _aCham, Switzerland :
_bSpringer,
_c2018.
300 _apages cm.
336 _atext
_2rdacontent
337 _acomputer
_2rdamedia
338 _aonline resource
_2rdacarrier
520 _aThis book was written to serve as an introduction to logic, with in each chapter - if applicable - special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel's Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises.
650 7 _aComputer science.
_2sears
650 7 _aLogic, Symbolic and mathematical.
_2sears
650 7 _aLogic.
_2sears
856 _uhttps://drive.google.com/file/d/1uR5F9s6WeXFQfnh-ofeV4Eh1fKyslPI4/view?usp=sharing
999 _c5560
_d5560