This introductory logic textbook focuses on the basics of logic and language, deduction, and induction. Specific chapters discuss fallacies, categorical propositions, categorical syllogisms, symbolic logic, quantification theory, analogy and inference, casual connections, science and hypothesis, and

2017 Reprint of 1931 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition software. Widely regarded as the principal founder of phenomenology, one of the most important movements in twentieth century philosophy, Edmund Husserl's Ideas is one of his most important works and a classic of twentieth century thought. Husserl's early thought conceived of phenomenology - the general study of what appears to conscious experience - in a relatively narrow way, mainly in relation to problems in logic and the theory of knowledge. The publication of Ideas in 1913 witnessed a significant and controversial widening of Husserl's thought, changing the course of phenomenology decisively. Husserl argued that phenomenology was the study of the very nature of what it is to think, "the science of the essence of consciousness" itself. Husserl's arguments ignited a heated debate regarding the nature of consciousness and experience that has endured throughout the twentieth and continues in the present day. No understanding of twentieth century philosophy is complete without some understanding of Husserl, and his work influenced some of the great philosophers of the twentieth century, such as Martin Heidegger and Jean-Paul Sartre.

Here, in a new edition, is Nelson Goodman’s provocative philosophical classic—a book that, according to Science , “raised a storm of controversy” when it was first published in 1954, and one that remains on the front lines of philosophical debate. How is it that we feel confident in generalizing from experience in some ways but not in others? How are generalizations that are warranted to be distinguished from those that are not? Goodman shows that these questions resist formal solution and his demonstration has been taken by nativists like Chomsky and Fodor as proof that neither scientific induction nor ordinary learning can proceed without an a priori , or innate, ordering of hypotheses. In his new foreword to this edition, Hilary Putnam forcefully rejects these nativist claims. The controversy surrounding these unsolved problems is as relevant to the psychology of cognitive development as it is to the philosophy of science. No serious student of either discipline can afford to misunderstand Goodman’s classic argument.

This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout. Alfred Tarski, one of the greatest logicians of all time, is widely thought of as 'the man who defined truth'. His work on the concepts of truth and logical consequence as defined by mathematical theory are cornerstones of modern logic, influencing developments in mathematics, philosophy, linguistics, and computer science. His teaching on logic and mathematics culminated in the 1941 classic INTRODUCTION TO LOGIC, which uses the method of deduction and explores logic and methodology as it pertains to creating mathematical theories.

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

After a series of light logic puzzles, the author presents a bombshell puzzle so startling that it seems incredible that there could be any solution at all! But there is indeed a solution - moreover, one that requires a chain of lesser puzzles to be solved first. The reader is thus journeyed through a maze of subsidiary problems that has all the earmarks of an entertaining detective story. Of the author's 20 published books, this is the 11th whose purpose is to lead the unwary reader into deep logical waters through seductively entertaining logic puzzles. The "deep waters" of this book is boolean algebra with such weird looking equations as 1+1=0 - a subject which today plays a vital role, not only in mathematical systems, but also in computer science and artificial intelligence.

Poland has played an enormous role in the development of mathematical logic. Leading Polish logicians, like Lesniewski, Lukasiewicz and Tarski, produced several works related to philosophical logic, a field covering different topics relevant to philosophical foundations of logic itself, as well as various individual sciences. This collection presents contemporary Polish work in philosophical logic which in many respects continue the Polish way of doing philosophical logic. This book will be of interest to logicians, mathematicians, philosophers, and linguists.

It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic article in the Encyclopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook of Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook of Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence circles. These areas were under increasing commercial pressure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.

Tadeusz Kotarbinski is one of towering figures in contemporary Polish philosophy. He was a great thinker, a great teacher, a great organizer of philosophical and scientific life (he was, among others, the rector of the Uni versi ty of t6dz, the president of the Polish Academy of Sciences, and the president of the International Institute of Philosophy), and, last but not least, a great moral authority. He died at the age of 96 on October 3, 1981. Kotarbinski was active in almost all branches of philosophy. He made many significant contributions to logic, semantics, ontology, epistemology, history of philosophy, and ethics. He created a new field, namely praxiology. Thus, using an ancient distinction, he contributed to theoretical as well as practical philoso~hy. Kotarbinski regarded praxiology as his major philosophical "child". Doubtless, praxiology belongs to practical philosophy. This collection, howewer, is mainly devoted to Kotarbinski' s theoretical philosophy. Reism - Kotarbinski' s fundamental idea of ontology and semantics - is the central topic of most papers included here; even Pszczolowski' s essay on praxiology considers its ontological basis. ,Only two papers, namely that of Zarnecka-Bialy and that of Wolenski, are not linked with reism. However, both fall under the general label "Kotarbinski: logic, semantics and ontology". The collection partly consists of earlier published papers.

The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights