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- Author:
- Publisher:
- ISBN:
- Category : Logic
- Languages : en
- Pages : 360
Trends in Logic
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- Author: Vincent F. Hendricks
- Publisher: Springer Science & Business Media
- ISBN: 9401735980
- Category : Philosophy
- Languages : en
- Pages : 387
In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.
Protoalgebraic Logics
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- Author: Janusz Czelakowski
- Publisher: Springer Science & Business Media
- ISBN: 9401728070
- Category : Mathematics
- Languages : en
- Pages : 456
The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989].
Leśniewski's Systems of Logic and Foundations of Mathematics
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- Author: Rafal Urbaniak
- Publisher: Springer Science & Business Media
- ISBN: 3319004824
- Category : Science
- Languages : en
- Pages : 240
This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.
Logic Counts
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- Author: E. Zarnecka-Bialy
- Publisher: Springer Science & Business Media
- ISBN: 9400906870
- Category : Philosophy
- Languages : en
- Pages : 232
I. Towards Philosophy Jan Srzednicki 3 LOGICAL CONCERNS OF PHILOSOPHICAL ANALYSIS Jerzy Perzanowski ONTOLOGIES AND ONTOLOGICS 23 Elizabeth Anscombe TRUTH, SENSE AND ASSERTION, OR: WHAT PLATO SHOULD HAVE TOLD THE SOPHISTS 43 Peter Geach IDENTITY OVER TIME 47 Joseph M. Font, Ventura Verdu 53 TWO LEVELS OF MODALITY: AN ALGEBRAIC APPROACH Boguslaw Wolniewicz 63 ELZENBERG'S LOGIC OF VALUES Jerzy Szymura WHEN MAY G.E. MOORE'S DEFINITION OF AN INTERNAL RELATION BE USED RATIONALLY? 71 II. Historical Perspective J6zef M. Bochenski HISTORY OF LOGIC AND THE CRITERIA OF RATIONALITY 85 Jan Waszkiewicz, Agnieszka Wojciechowska ON THE ORIGIN OF REDUCTIO AD ABSURDUM 87 vi CONTENTS Ewa ~arnecka-Bialy PREMONITION OF MATHEMATICAL LOGIC IN ARISTOTLE'S PRIOR ANALYTICS 97 Leopold Regner "IMPOSSIBlLIA" OF SIGER OF BRABANT 107 Tomasz Weber DEFENDING THESES IN MATHEMATICS AT A 19TH CENTURY UNIVERSITY 113 Gerhardt PlBchl BASIC NORM AND METALANGUAGE. HISTORICAL BACKGROUND OF KELSEN'S IDEAS 125 m. Logic and Natural Language Marek Tokarz EARLY SYSTEMS OF FORMAL PRAGMATICS 151 Barbara Stanosz DEDUCTION AND THE CONCEPT OF ASSERTION 159 Helmut Metzler METHODOLOGICAL INTERDEPENDENCIES BETWEEN CONCEPTUALIZATION AND OPERATIONALIZATION IN EMPIRICAL SOCIAL SCIENCES 167 Jaroslaw Fall GAME-THEORETICAL SEMANTICS APPLIED TO DEFINITE DESCRIPTIONS AND ANAPHORA 177 Karl-Heinz Krampitz ON LOGICAL ANALYSIS OF ORDINARY SENTENCES 191 Anna Madarasz GAME THEORETICAL SEMANTICS WITH VALUE-GAPS AND DISCOURSE ANALYSIS 199 Andrzej Lachwa THE SEMANTIC AND FORMAL CONNECTIONS BETWEEN TEXT COMPONENTS 221 Index of Names 227 L. . ::1. . ~t G. Elizabeth ANSCOMBE - University of Cambridge, England J6zef M
Euphony and Logos
Ordinal Analysis with an Introduction to Proof Theory
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- Author: Toshiyasu Arai
- Publisher: Springer Nature
- ISBN: 9811564590
- Category : Philosophy
- Languages : en
- Pages : 327
This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.
Automated Deduction - CADE 28
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- Author: André Platzer
- Publisher: Springer Nature
- ISBN: 3030798763
- Category : Artificial intelligence
- Languages : en
- Pages : 655
This open access book constitutes the proceeding of the 28th International Conference on Automated Deduction, CADE 28, held virtually in July 2021. The 29 full papers and 7 system descriptions presented together with 2 invited papers were carefully reviewed and selected from 76 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations, and practical experience. The papers are organized in the following topics: Logical foundations; theory and principles; implementation and application; ATP and AI; and system descriptions.
Handbook of Modal Logic
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- Author: Patrick Blackburn
- Publisher: Elsevier
- ISBN: 9780080466668
- Category : Mathematics
- Languages : en
- Pages : 1260
The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth
