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

Over the past decade, the question of whether there is a mental logic has become subject to considerable debate. There have been attacks by critics who believe that all reasoning uses mental models and return attacks on mental-models theory. This controversy has invaded various journals and has created issues between mental logic and the biases-and-heuristics approach to reasoning, and the content-dependent theorists. However, despite its pertinence to current issues in cognition, few cognitive scientists really know what the mental-logic theory is, and misapprehensions are prevalent. This volume is a comprehensive presentation of the theory of mental logic and its implications for cognition and development, including the acquisition of language. The theory offered here has three parts. Part I is the mental logic per se that contains a set of inference schemas. Part II is a reasoning program that applies the schemas in lines of reasoning, including a direct-reasoning routine and more sophisticated indirect-reasoning strategies. Part III of the theory is pragmatic, proposing that the basic meaning of each logic particle is in the inferences that are sanctioned by its inference schemas.

Engages with the impact of modern technology on experimental physicists. This study reveals how the increasing scale and complexity of apparatus has distanced physicists from the very science which drew them into experimenting, and has fragmented microphysics into different technical traditions.

This volume presents the refereed proceedings of the 9th International Conference on Deontic Logic in Computer Science, DEON 2008, held in Luxembourg in July 2008. The 16 revised full papers presented together with 4 invited talks were carefully reviewed and selected for inclusion in the book. The topics addressed are development of formal systems of deontic logic and related areas of logic, and applications. Of particular interest is the interaction between computer systems and their users; the papers focus also on the special topic of logical approaches to deontic notions in computer science in the area of security and trust, encompassing applications in e-commerce as well as traditional areas of computer security.

This book presents the current state of the art regarding the application of logical tools to the problems of theory and practice of lawmaking. It shows how contemporary logic may be useful in the analysis of legislation, legislative drafting and legal reasoning concerning different contexts of law making. Elaborations of the process of law making have variously emphasised its political, social or economic aspects. Yet despite strong interest in logical analyses of law, questions remains about the role of logical tools in law making. This volume attempts to bridge that gap, or at least to narrow it, drawing together some important research problems—and some possible solutions—as seen through the work of leading contemporary academics. The volume encompasses 20 chapters written by authors from 16 countries and it presents diversified views on the understanding of logic (from strict mathematical approaches to the informal, argumentative ones) and differentiated choices concerning the aspects of law making taken into account. The book presents a broad set of perspectives, insights and results into the emerging field of research devoted to the logical analysis of the area of creation of law. How does logic inform lawmaking? Are legal systems consistent and complete? How can legal rules be represented by means of formal calculi and visualization techniques? Does the structure of statutes or of legal systems resemble the structure of deductive systems? What are the logical relations between the basic concepts of jurisprudence that constitute the system of law? How are theories of legal interpretation relevant to the process of legislation? How might the statutory text be analysed by means of contemporary computer programs? These and other questions, ranging from the theoretical to the immediately practical, are addressed in this definitive collection.

George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Gödel theorems. Boolos is universally recognized as the leader in the renewed interest in studies of Frege's work on logic and the philosophy of mathematics. John Burgess has provided introductions to each of the three parts of the volume, and also an afterword on Boolos's technical work in provability logic, which is beyond the scope of this volume.

Introductory logic is generally taught as a straightforward technical discipline. In this book, John MacFarlane helps the reader think about the limitations of, presuppositions of, and alternatives to classical first-order predicate logic, making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course. The book explores the following questions. Are there quantificational idioms that cannot be expressed with the familiar universal and existential quantifiers? How can logic be extended to capture modal notions like necessity and obligation? Does the material conditional adequately capture the meaning of 'if'—and if not, what are the alternatives? Should logical consequence be understood in terms of models or in terms of proofs? Can one intelligibly question the validity of basic logical principles like Modus Ponens or Double Negation Elimination? Is the fact that classical logic validates the inference from a contradiction to anything a flaw, and if so, how can logic be modified to repair it? How, exactly, is logic related to reasoning? Must classical logic be revised in order to be applied to vague language, and if so how? Each chapter is organized around suggested readings and includes exercises designed to deepen the reader's understanding. Key Features: An integrated treatment of the technical and philosophical issues comprising philosophical logic Designed to serve students taking only one course in logic beyond the introductory level Provides tools and concepts necessary to understand work in many areas of analytic philosophy Includes exercises, suggested readings, and suggestions for further exploration in each chapter

The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English-language journals. Each volume in the library deals with a field of enquiry which has received significant attention in philosophy in the last 25 years and is edited by a philosopher noted in that field.

A FORTIORI LOGIC: INNOVATIONS, HISTORY AND ASSESSMENTS, by Avi Sion, is a wide-ranging and in-depth study of a fortiori reasoning, comprising a great many new theoretical insights into such argument, a history of its use and discussion from antiquity to the present day, and critical analyses of the main attempts at its elucidation. Its purpose is nothing less than to lay the foundations for a new branch of logic, and greatly develop it; and thus to once and for all dispel the many fallacious ideas circulating regarding the nature of a fortiori reasoning.