Penetrating and practical, Logic Made Easy is filled with anecdotal histories detailing the often muddy relationship between language and logic. Complete with puzzles you can try yourself and questions you can use to raise your test scores, Logic Made Easy invites readers to identify and ultimately remedy logical slips in everyday life. Even experienced logicians will be surprised by Deborah Bennett's ability to identify the illogical in everything from maddening street signs to tax forms that make April the cruelest month. Designed with dozens of visual examples, the book guides readers through those hair-raising times when logic is at odds with common sense. Logic Made Easy is indeed one of those rare books that will actually make you a more logical human being.

This book presents reflections on the relationship between narratives and argumentative discourse. It focuses on their functional and structural similarities or dissimilarities, and offers diverse perspectives and conceptual tools for analyzing the narratives' potential power for justification, explanation and persuasion. Divided into two sections, the first Part, under the title "Narratives as Sources of Knowledge and Argument", includes five chapters addressing rather general, theoretical and characteristically philosophical issues related to the argumentative analysis and understanding of narratives. We may perceive here how scholars in Argumentation Theory have recently approached certain topics that have a close connection with mainstream discussions in epistemology and the cognitive sciences about the justificatory potential of narratives. The second Part, entitled "Argumentative Narratives in Context", brings us six more chapters that concentrate on either particular functions played by argumentatively-oriented narratives or particular practices that may benefit from the use of special kinds of narratives. Here the focus is either on the detailed analysis of contextualized examples of narratives with argumentative qualities or on the careful understanding of the particular demands of certain well-defined situated activities, as diverse as scientific theorizing or war policing, that may be satisfied by certain uses of narrative discourse.

Alfred Tarski was one of the two giants of the twentieth-century development of logic, along with Kurt Goedel. The four volumes of this collection contain all of Tarski's papers and abstracts published during his lifetime, as well as a comprehensive bibliography. Here will be found many of the works, spanning the period 1921 through 1979, which are the bedrock of contemporary areas of logic, whether in mathematics or philosophy. These areas include the theory of truth in formalized languages, decision methods and undecidable theories, foundations of geometry, set theory, and model theory, algebraic logic, and universal algebra.

Critical thinking is becoming increasingly prominent as an academic discipline taught and examined in schools and universities, as well as a crucial skill for everyday life. To be a successful critical thinker it is vital to understand how the different concepts and terms are defined and used. The terminology often presents a stumbling block for the beginner, since much of it is used imprecisely in everyday language. This definitive A to Z guide provides precise definitions for over 130 terms and concepts used in critical thinking. Each entry presents a short definition followed by a more detailed explanation and authoritative clarification. Armed with the tools and knowledge provided in these pages, the reader will be able to distinguish an assertion from an argument, a flaw from a fallacy, a correlation from a cause and a fact from an opinion. The book is an invaluable resource for teachers and students of critical thinking, providing all the tools necessary to effectively analyse, evaluate, question and reason for yourself.

In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S. Peirce's important late writings. Among the most influential American thinkers, Peirce took his existential graphs to be his greatest contribution to human thought. The manuscripts from 1895-1913, most of which are published here for the first time, testify the richness and open-endedness of his theory of logic and its applications. They also invite us to reconsider our ordinary conceptions of reasoning as well as the conventional stories told about the evolution of modern logic. This second volume collects Peirce's writings on existential graphs related to his Lowell Lectures of 1903, the annus mirabilis of his that became decisive in the development of the mature theory of the graphical method of logic.

This book offers a comprehensive critical survey of issues of historical interpretation and evaluation in Bertrand Russell's 1918 logical atomism lectures and logical atomism itself. These lectures record the culmination of Russell's thought in response to discussions with Wittgenstein on the nature of judgement and philosophy of logic and with Moore and other philosophical realists about epistemology and ontological atomism, and to Whitehead and Russell's novel extension of revolutionary nineteenth-century work in mathematics and logic. Russell's logical atomism lectures have had a lasting impact on analytic philosophy and on Russell's contemporaries including Carnap, Ramsey, Stebbing, and Wittgenstein. Comprised of 14 original essays, this book will demonstrate how the direct and indirect influence of these lectures thus runs deep and wide.

Of all philosophers of the 20th century, few built more bridges between academic disciplines than Karl Popper. He contributed to a wide variety of fields in addition to the epistemology and the theory of scientific method for which he is best known. This book illustrates and evaluates the impact, both substantive and methodological, that Popper has had in the natural and mathematical sciences. The topics selected include quantum mechanics, evolutionary biology, cosmology, mathematical logic, statistics, and cognitive science. The approach is multidisciplinary, opening a dialogue across scientific disciplines and between scientists and philosophers.

The volume is published on the occasion of the birth centennial of Eugenio Coseriu (1921-2002). It is the first collective volume to appear in English in which various scholars present a variety of perspectives on Coseriu's scholarly work and discuss its continuing relevance for the language sciences. Coseriu's international reputation has suffered from his commitment to publish in languages such as Spanish, German, French, Italian, Romanian and Portuguese, to the detriment of English. As a consequence, his work is less well-known outside Romance and German linguistics. The volume aims to raise the general awareness of Coseriu's work among linguists around the world, in accordance with Coseriu's own adage that it takes a constructive mindset (acknowledging "accomplishments and limitations") to do justice to all scholarly work in the humanities. The articles are organized into three major thematic clusters: 1) philosophy of language, 2) history of the language sciences and 3) theory and practice of "Integral Linguistics". The volume is essential reading for anyone working in these fields and for those seeking to gain deeper understanding of Coseriu's goal to develop a unitary approach to language which takes as its point of departure the "activity of speaking".

Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.

This book discusses how scientific and other types of cognition make use of models, abduction, and explanatory reasoning in order to produce important or creative changes in theories and concepts. It includes revised contributions presented during the international conference on Model-Based Reasoning (MBR'015), held on June 25-27 in Sestri Levante, Italy. The book is divided into three main parts, the first of which focuses on models, reasoning and representation. It highlights key theoretical concepts from an applied perspective, addressing issues concerning information visualization, experimental methods and design. The second part goes a step further, examining abduction, problem solving and reasoning. The respective contributions analyze different types of reasoning, discussing various concepts of inference and creativity and their relationship with experimental data. In turn, the third part reports on a number of historical, epistemological and technological issues. By analyzing possible contradictions in modern research and describing representative case studies in experimental research, this part aims at fostering new discussions and stimulating new ideas. All in all, the book provides researchers and graduate students in the field of applied philosophy, epistemology, cognitive science and artificial intelligence alike with an authoritative snapshot of current theories and applications of model-based reasoning.

Alain Badiou's Being and Event continues to impact philosophical investigations into the question of Being. By exploring the central role set theory plays in this influential work, Burhanuddin Baki presents the first extended study of Badiou's use of mathematics in Being and Event. Adopting a clear, straightforward approach, Baki gathers together and explains the technical details of the relevant high-level mathematics in Being and Event. He examines Badiou's philosophical framework in close detail, showing exactly how it is 'conditioned' by the technical mathematics. Clarifying the relevant details of Badiou's mathematics, Baki looks at the four core topics Badiou employs from set theory: the formal axiomatic system of ZFC; cardinal and ordinal numbers; Kurt Goedel's concept of constructability; and Cohen's technique of forcing. Baki then rebuilds Badiou's philosophical meditations in relation to their conditioning by the mathematics, paying particular attention to Cohen's forcing, which informs Badiou's analysis of the event. Providing valuable insights into Badiou's philosophy of mathematics, Badiou's Being and Event and the Mathematics of Set Theory offers an excellent commentary and a new reading of Badiou's most complex and important work.

A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.

In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S. Peirce's important late writings. Among the most influential American thinkers, Peirce took his existential graphs to be his greatest contribution to human thought. The manuscripts from 1895-1913, most of which are published here for the first time, testify the richness and open-endedness of his theory of logic and its applications. They also invite us to reconsider our ordinary conceptions of reasoning as well as the conventional stories told about the evolution of modern logic. This second volume collects Peirce's writings on existential graphs related to his Lowell Lectures of 1903, the annus mirabilis of his that became decisive in the development of the mature theory of the graphical method of logic.

This new digital edition of The Trial and Death of Socrates: Euthyphro, Apology, Crito and Phaedo presents Benjamin Jowett's classic translations, as revised by Enhanced Media Publishing. A number of new or expanded annotations are also included.

This book develops a new Wittgenstein interpretation called Wittgenstein's Metametaphysics. The basic idea is that one major strand in Wittgenstein's early and later philosophy can be described as undermining the dichotomy between realism and idealism. The aim of this book is to contribute to a better understanding of the relation between language and reality and to open up avenues of dialogue to overcome deep divides in the research literature. In the course of developing a comprehensive and in-depth interpretation, the author provides fresh and original analyses of the latest issues in Wittgenstein scholarship and gives new answers to both major exegetical and philosophical problems. This makes the book an illuminating study for scholars and advanced students alike.

Saul Kripke's Naming and Necessity was one of the most influential philosophical works of the twentieth century. In this collection of essays leading specialists explore issues arising from this and other works of Kripke's.

This book introduces a new form of argumentative analysis: rhetorical heuremes. The method applies the concepts of heuristic thinking, probability, and contingency in order to develop a better understanding of complex arguments in classical oratory. A new theory is required because Greek and Roman rhetoric cannot provide detailed answers to problems of strategic argumentation in the analysis of speeches. Building on scholarship in Ciceronian oratory, this book moves beyond the extant terminology and employs a concept of heuristic reasoning derived from the psychology of decision making and mathematical problem solving. The author analyses selected passages from Cicero's forensic speeches where arguments of probability are deployed, and shows that the Sophistic concept of probability can link ancient rhetoric and modern theories of argumentation. Six groups of heuremes are identified, each of which represents a form of probabilistic reasoning by which the orator plays upon the perception of the jurors.

This volume is a result of the international symposium "The Tradition of the Lvov-Warsaw School in European Culture," which took place in Warsaw, Poland, September 2015. It collects almost all the papers presented at the symposium as well as some additional ones. The contributors include scholars from Austria, the Netherlands, Ireland, and Poland. The papers are devoted to the history and reception of the Lvov-Warsaw School, a Polish branch of analytic philosophy. They present the School's achievements as well as its connections to other analytic groups. The contributors also show how the tradition of the School is developed contemporarily. The title will appeal to historians of analytic philosophy as well as historians of philosophy in Central Europe.

This book explores what it means to be 'critical' in different disciplines in higher education and how students can be taught to be effective critical thinkers. This book clarifies the idea of critical thinking by investigating the 'critical' practices of academics across a range of disciplines. Drawing on key theorists - Wittgenstein, Geertz, Williams, Halliday - and using a 'textographic' approach, the book explores how the concept of critical thinking is understood by academics and also how it is constructed discursively in the texts and practices they employ in their teaching. Critical thinking is one of the most widely discussed concepts in debates on university learning. For many, the idea of teaching students to be critical thinkers characterizes more than anything else the overriding purpose of 'higher education'. But whilst there is general agreement about its importance as an educational ideal, there is surprisingly little agreement about what the concept means exactly. Also at issue is how and what students need to be taught in order to be properly critical in their field. This searching monograph seeks answers to these important questions.

This book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka. Hintikka was a prodigious and esteemed philosopher and logician, and his death in August 2015 was a huge loss to the philosophical community. This book, whose chapters have been in preparation for several years, is dedicated to the work of Jaako Hintikka, and to his memory. This edited volume consists of 23 contributions from leading logicians and philosophers, who discuss themes that span across the entire range of Hintikka's career. Semantic Representationalism, Logical Dialogues, Knowledge and Epistemic logic are among some of the topics covered in this book's chapters. The book should appeal to students, scholars and teachers who wish to explore the philosophy of Jaako Hintikka.