From academic writing to personal and public discourse, the need for good arguments and better ways of arguing is greater than ever before. This timely fifth edition of A Rulebook for Arguments sharpens an already-classic text, adding updated examples and a new chapter on public debates that provides rules for the etiquette and ethics of sound public dialogue as well as clear and sound thinking in general.

Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.

This book studies the Talmudic approach to Delegation. We develop logical models for the basic Talmudic views of delegation. The Talmudic approaches to the relationships between the Principal and his Agent/Delegate are fundamentally very logical, and deal with questions like chains of delegations, transfer of power, cancellations, death, irresponsible behaviour, change of the terms of delegation, and much more. We highlight the differences between the Talmudic approach and the view of delegation in modern legal systems.

Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.

Carnap, Quine, and Putnam held that in our pursuit of truth we can do no better than to start in the middle, relying on already-established beliefs and inferences and applying our best methods for re-evaluating particular beliefs and inferences and arriving at new ones. In this collection of essays, Gary Ebbs interprets these thinkers' methodological views in the light of their own philosophical commitments, and in the process refutes some widespread misunderstandings of their views, reveals the real strengths of their arguments, and exposes a number of problems that they face. To solve these problems, in many of the essays Ebbs also develops new philosophical approaches, including new theories of logical truth, language use, reference and truth, truth by convention, realism, trans-theoretical terms, agreement and disagreement, radical belief revision, and contextually a priori statements. His essays will be valuable for a wide range of readers in analytic philosophy.

Many philosophy majors are shocked by the gap between the relative ease of lower-level philosophy courses and the difficulty of upper-division courses. This book serves as a necessary bridge to upper-level study in philosophy by offering rigorous but concise and accessible accounts of basic concepts and distinctions that are used throughout the discipline. It serves as a valuable advanced introduction to any undergraduate who is moving into upper-level courses in philosophy. While lower-level introductions to philosophy usually deal with popular topics accessible to the general student (such as contemporary moral issues, free will, and personal identity) in a piecemeal fashion, The Philosophy Major's Introduction to Philosophy offers coverage of important general philosophical concepts, tools, and devices that may be used for a long time to come in various philosophical areas. The volume is helpfully divided between a focus on the relation between language and the world in the first three chapters and coverage of mental content in the final two chapters, but builds a coherent narrative from start to finish. It also provides ample study questions and helpful signposts throughout, making it a must-have for any student attempting to engage fully with the problems and arguments in philosophy. Key Features Integrates topics from various areas of philosophy, such as philosophy of language, metaphysics, epistemology, ethics, and philosophical logic Provides descriptions of logico-mathematical tools necessary for philosophical studies, such as propositional logic, predicate logic, modal logic, set theory, mereology, and mathematical functions Makes connections with modern philosophy, including discussions of Descartes's skepticism and dualism, Locke's theory of personal identity, Hume's theory of causation, and Kant's synthetic a priori Includes well-known entertaining puzzles and thought experiments such as the Ship of Theseus, the Statue and the Clay, a Brain in a Vat, and Twin Earth Lists helpful Exercise Questions and Discussion Questions at the end of each chapter and answers selected questions at the back of the book

The dead are gone. They count for nothing. Yet, if we count the dead, their number is staggering. And they account for most of what is great about civilization. Compared to the greatness of the dead, the accomplishments of the living are paltry. Which is it then: are the dead still there to be counted or not? And if they are still there, where exactly is "there"? We are confronted with the ancient paradox of nonexistence bequeathed us by Parmenides. The mystery of death is the mystery of nonexistence. A successful attempt to provide a metaphysics of death, then, must resolve the paradox of nonexistence. That is the aim of this study. At the same time, the metaphysics of death, of ceasing to exist, must serve as an account of birth, of coming to exist; the primary thesis of this book is that this demands going beyond existence and nonexistence to include what underlies both, which one can call, following tradition, "being." The dead and the unborn are therefore objects that lack existence but not being. Nonexistent objects - not corpses, or skeletons, or memories, all of which are existent objects - are what are "there" to be counted when we count the dead.

Many philosophy majors are shocked by the gap between the relative ease of lower-level philosophy courses and the difficulty of upper-division courses. This book serves as a necessary bridge to upper-level study in philosophy by offering rigorous but concise and accessible accounts of basic concepts and distinctions that are used throughout the discipline. It serves as a valuable advanced introduction to any undergraduate who is moving into upper-level courses in philosophy. While lower-level introductions to philosophy usually deal with popular topics accessible to the general student (such as contemporary moral issues, free will, and personal identity) in a piecemeal fashion, The Philosophy Major's Introduction to Philosophy offers coverage of important general philosophical concepts, tools, and devices that may be used for a long time to come in various philosophical areas. The volume is helpfully divided between a focus on the relation between language and the world in the first three chapters and coverage of mental content in the final two chapters, but builds a coherent narrative from start to finish. It also provides ample study questions and helpful signposts throughout, making it a must-have for any student attempting to engage fully with the problems and arguments in philosophy. Key Features Integrates topics from various areas of philosophy, such as philosophy of language, metaphysics, epistemology, ethics, and philosophical logic Provides descriptions of logico-mathematical tools necessary for philosophical studies, such as propositional logic, predicate logic, modal logic, set theory, mereology, and mathematical functions Makes connections with modern philosophy, including discussions of Descartes's skepticism and dualism, Locke's theory of personal identity, Hume's theory of causation, and Kant's synthetic a priori Includes well-known entertaining puzzles and thought experiments such as the Ship of Theseus, the Statue and the Clay, a Brain in a Vat, and Twin Earth Lists helpful Exercise Questions and Discussion Questions at the end of each chapter and answers selected questions at the back of the book

This book deals with an old conundrum: if God knows what we will choose tomorrow, how can we be free to choose otherwise? If all our choices are already written, is our freedom simply an illusion? This book provides a precise analysis of this dilemma using the tools of modern metaphysics and logic of time. With a focus on three intertwined concepts - God's nature, the formal structure of time, and the metaphysics time, including the relationship between temporal entities and a timeless God - the chapters analyse various solutions to the problem of foreknowledge and freedom, revealing the advantages and drawbacks of each. Building on this analysis, the authors advance constructive solutions, showing under what conditions an entity can be omniscient in the presence of free agents, and whether an eternal entity can know the tensed futures of the world. The metaphysics of time, its topology and the semantics of future tensed sentences are shown to be invaluable topics in dealing with this issue. Combining investigations into the metaphysics of time with the discipline of temporal logic this monograph brings about important advancements in the philosophical understanding of an ancient and fascinating problem. The answer, if any, is hidden in the folds of time, in the elusive nature of this feature of reality and in the infinite branching of our lives.

David E. Over is a leading cognitive scientist and, with his firm grounding in philosophical logic, he also exerts a powerful influence on the psychology of reasoning. He is responsible for not only a large body of empirical work and accompanying theory, but for advancing a major shift in thinking about reasoning, commonly known as the 'new paradigm' in the psychology of human reasoning. Over's signature mix of philosophical logic and experimental psychology has inspired generations of researchers, psychologists, and philosophers alike over more than a quarter of a century. The chapters in this volume, written by a leading group of contributors including a number who helped shape the psychology of reasoning as we know it today, each take their starting point from the key themes of Over's ground-breaking work. The essays in this collection explore a wide range of central topics-such as rationality, bias, dual processes, and dual systems-as well as contemporary psychological and philosophical theories of conditionals. It concludes with an engaging new chapter, authored by David E. Over himself, which details and analyses the new paradigm psychology of reasoning. This book is therefore important reading for scholars, researchers, and advanced students in psychology, philosophy, and the cognitive sciences, including those who are not familiar with Over's thought already.

This book is unique in presenting an interdisciplinary conversation between jurists and logicians. It brings together scholars from both law and philosophy, and looks at the application of 'the new logics' to law and legal ordering, in a number of legal systems. The first Part explores the ways in which the new logics shed light on the functioning of legal orders, including the structure of legal argumentation and the rules of evidence. The second addresses how non-classical logics can help us to understand the interactions between multiple legal orders, in a range of contexts including domestic and international law. The final Part examines particular issues in the applicability of non-classical logics to legal reasoning. This book will be of interest to jurisprudence and logic scholars and students who want to deepen their understanding of relationships between law and legal reasoning, and learn about recent developments in formal logic.

The Process of Argument: An Introduction is a necessary companion for anyone seeking to engage in successful persuasion: To organize, construct, and communicate arguments. It is both comprehensive and accessible: An authoritative guide to logical thinking and effective communication. The book begins with techniques to improve reading comprehension, including guides on navigating through fake news and internet trolls. Then, readers are taught how to reconstruct deductive, inductive, and abductive presentations so that the logical structure is explicit. And finally, there is a step-by-step guide for responding to these texts via the argumentative essay. Along the way are current examples from social media and elsewhere on the internet along with guides for assessing truth claims in an ever-complicated community worldview. Throughout, are carefully selected reading questions and exercises that will pace readers in order to ensure that the text is securely grasped and successfully applied. Key Features Offers guidance on how to read a text through self-analysis and social criticism Provides a step-by-step procedure for allowing the student to move from reading to reconstruction to being prepared to write an effective argumentative essay Presents truth theory and shows readers how they can helpfully acquaint themselves with a version of realistic, foundational epistemology Offers guidelines and helpful tools on how best to structure an argumentative, pro or con, essay Includes expansive coverage of inductive logic through the use and assessment of statistics Covers abductive logic as it applies to the analysis of narrative in argumentative writing Has up-to-date examples from the media, including from blogs, social media, and television Includes a helpful glossary of all important terms in the book

This book presents a systematic unifying-pluralist account-a "constructive-engagement" account-of how cross-tradition engagement in philosophy is possible. The goal of this "constructive-engagement" account is, by way of reflective criticism, argumentation, and methodological guiding principles, to inquire into how distinct approaches from different philosophical traditions can talk to and learn from each other for the sake of making joint contributions to the contemporary development of philosophy. In Part I of the book, Bo Mou explores a range of fundamental theoretic and methodological issues in cross-tradition philosophical engagement and philosophical interpretation. In Part II, he analyzes several representative case studies that demonstrate how relevant resources in the Western and Chinese philosophical traditions can constructively engage with each other. These studies cover issues in philosophical methodology, metaphysics, epistemology, philosophy of language and logic, and ethics. The book's theoretical and practical approaches expand the vision, coverage, and agenda of doing philosophy comparatively, and promote worldwide joint efforts of cross-tradition philosophical inquiries. Cross-Tradition Engagement in Philosophy will be of interest to graduate students and scholars interested in comparative philosophy and the intersection of Chinese and Western philosophy. It will also appeal to those who are interested in the ways in which cross-tradition philosophical engagement can enhance contemporary philosophical debates in metaphysics, epistemology, philosophy of language and logic, and ethics.

Traditionally, Aristotle is held to believe that philosophical contemplation is valuable for its own sake, but ultimately useless. In this volume, Matthew D. Walker offers a fresh, systematic account of Aristotle's views on contemplation's place in the human good. The book situates Aristotle's views against the background of his wider philosophy, and examines the complete range of available textual evidence (including neglected passages from Aristotle's Protrepticus). On this basis, Walker argues that contemplation also benefits humans as perishable living organisms by actively guiding human life activity, including human self-maintenance. Aristotle's views on contemplation's place in the human good thus cohere with his broader thinking about how living organisms live well. A novel exploration of Aristotle's views on theory and practice, this volume will interest scholars and students of both ancient Greek ethics and natural philosophy. It will also appeal to those working in other disciplines including classics, ethics, and political theory.

There can be no doubt that Kant thought we should be reflective: we ought to care to make up our own minds about how things are and what is worth doing. Philosophical objections to the Kantian reflective ideal have centred on concerns about the excessive control that the reflective person is supposed to exert over their own mental life, and Kantians who feel the force of these objections have recently drawn attention to Kant's conception of moral virtue as it is developed in his later work, chiefly the Metaphysics of Morals. Melissa Merritt's book is a distinctive contribution to this recent turn to virtue in Kant scholarship. Merritt argues that we need a clearer, and textually more comprehensive, account of what reflection is, in order not only to understand Kant's account of virtue, but also to appreciate how it effectively rebuts long-standing objections to the Kantian reflective ideal.

Recent work in argumentation theory has emphasized the nature of arguers and arguments along with various theoretical perspectives. Less attention has been given to the third feature of any argumentative situation - the audience. This book fills that gap by studying audience reception to argumentation and the problems that come to light as a result of this shift in focus. Christopher W. Tindale advances the tacit theories of several earlier thinkers by addressing the central problems connected with audience considerations in argumentation, problems that earlier philosophical theories overlook or inadequately accommodate. The main tools employed in exploring the central issues are drawn from contemporary philosophical research on meaning, testimony, emotion and agency. These are then combined with some of the major insights of recent rhetorical work in argumentation to advance our understanding of audiences and suggest avenues for further research.

Conditionals are sentences of the form 'If A, then B', and they play a central role in scientific, logical, and everyday reasoning. They have been in the philosophical limelight for centuries, and more recently, they have been receiving attention from psychologists, linguists, and computer scientists. In spite of this, many key questions concerning conditionals remain unanswered. While most of the work on conditionals has addressed semantical questions - questions about the truth conditions of conditionals - this book focuses on the main epistemological questions that conditionals give rise to, such as: what are the probabilities of conditionals? When is a conditional acceptable or assertable? What do we learn when we receive new conditional information? In answering these questions, this book combines the formal tools of logic and probability theory with the experimental approach of cognitive psychology. It will be of interest to students and researchers in logic, epistemology, and psychology of reasoning.

This book explains how the logic of theory change employs formal models in the investigation of changes in belief states and databases. The topics covered include equivalent characterizations of AGM operations, extended representations of the belief states, change operators not included in the original framework, iterated change, applications of the model, its connections with other formal frameworks, and criticism of the model.

Ludwig Wittgenstein (1889-1951) is one of the most important and influential philosophers in modern times, but he is also one of the least accessible. In this volume, leading experts chart the development of his work and clarify the connections between its different stages. The essays, which are both expository and original, address central themes in Wittgenstein's writing on a wide range of topics, particularly his thinking about the mind, language, logic, and mathematics. The contributors illuminate the character of the whole body of work by focusing on key topics: the style of the philosophy, the conception of grammar contained in it, rule-following, convention, logical necessity, the self, and what Wittgenstein called, in a famous phrase, 'forms of life'. This revised edition includes a new introduction, five new essays - on Tractarian ethics, Wittgenstein's development, aspects, the mind, and time and history - and a fully updated comprehensive bibliography.

This book analyses and defends the deflationist claim that there is nothing deep about our notion of truth. According to this view, truth is a 'light' and innocent concept, devoid of any essence which could be revealed by scientific inquiry. Cezary Cieslinski considers this claim in light of recent formal results on axiomatic truth theories, which are crucial for understanding and evaluating the philosophical thesis of the innocence of truth. Providing an up-to-date discussion and original perspectives on this central and controversial issue, his book will be important for those with a background in logic who are interested in formal truth theories and in current philosophical debates about the deflationary conception of truth.

Featuring fourteen new essays from an international team of renowned contributors, this volume explores the key issues, debates and questions in the metaphysics of logic. The book is structured in three parts, looking first at the main positions in the nature of logic, such as realism, pluralism, relativism, objectivity, nihilism, conceptualism, and conventionalism, then focusing on historical topics such as the medieval Aristotelian view of logic, the problem of universals, and Bolzano's logical realism. The final section tackles specific issues such as glutty theories, contradiction, the metaphysical conception of logical truth, and the possible revision of logic. The volume will provide readers with a rich and wide-ranging survey, a valuable digest of the many views in this area, and a long overdue investigation of logic's relationship to us and the world. It will be of interest to a wide range of scholars and students of philosophy, logic, and mathematics.

In Reference and Identity in Jewish, Christian, and Muslim Scriptures: The Same God?, D. E. Buckner argues that all reference is story-relative. We cannot tell which historical individual a person is talking or writing about or addressing in prayer without familiarity with the narrative (oral or written) which introduces that individual to us, so we cannot understand reference to God, nor to his prophets, nor to any other character mentioned in the Jewish, Christian, or Muslim scriptures, without reference to those very scriptures. In this context we must understand God as the person who "walked in the garden in the cool of the day" (Gen. 3:8), and who is continuously referred to in the books of the Hebrew Bible and New Testament, as well as the Quran. Further developing ideas presented by the late Fred Sommers in his seminal The Logic of Natural Language, Buckner argues that singular reference and singular conception is empty outside such a context.

A Logical Introduction to Probability and Induction is a textbook on the mathematics of the probability calculus and its applications in philosophy. On the mathematical side, the textbook introduces these parts of logic and set theory that are needed for a precise formulation of the probability calculus. On the philosophical side, the main focus is on the problem of induction and its reception in epistemology and the philosophy of science. Particular emphasis is placed on the means-end approach to the justification of inductive inference rules. In addition, the book discusses the major interpretations of probability. These are philosophical accounts of the nature of probability that interpret the mathematical structure of the probability calculus. Besides the classical and logical interpretation, they include the interpretation of probability as chance, degree of belief, and relative frequency. The Bayesian interpretation of probability as degree of belief locates probability in a subject's mind. It raises the question why her degrees of belief ought to obey the probability calculus. In contrast to this, chance and relative frequency belong to the external world. While chance is postulated by theory, relative frequencies can be observed empirically. A Logical Introduction to Probability and Induction aims to equip students with the ability to successfully carry out arguments. It begins with elementary deductive logic and uses it as basis for the material on probability and induction. Throughout the textbook results are carefully proved using the inference rules introduced at the beginning, and students are asked to solve problems in the form of 50 exercises. An instructor's manual contains the solutions to these exercises as well as suggested exam questions. The book does not presuppose any background in mathematics, although sections 10.3-10.9 on statistics are technically sophisticated and optional. The textbook is suitable for lower level undergraduate courses in philosophy and logic.

T. F. Torrance's proposal for natural theology constitutes one of the most creative and provocative elements in his work. By re-envisioning natural theology as the cognitive structure of theology determined by God's self-revelation in Jesus Christ (and not as the task of philosophically reflecting on the nature or existence of God aside from religious presuppositions), Torrance moves through and beyond Barth's resistance to natural theology. This book establishes Torrance's unique reconstruction of natural theology within its proper intellectual context, providing a fresh analysis of this important methodological innovation as it emerges from Torrance's realist epistemology. As Irving demonstrates, in Torrance's distinctive conception of science, he operated with an approach to cognition that functions via a realist synthesis of experience and understanding, and in Torrance's theological science, this synthesis of experience and understanding is the synthesis of revealed theology and natural theology. The author argues that this reconstruction of natural theology expresses a dramatic vision for human agency within theological cognition, adding the necessity of the human knowing subject to the priority of the divine revealer. Finally, this book marries Torrance's accomplishments in reconstructing natural theology to his Christocentric theological method, in which God is both revealed and known in the person of Jesus Christ, fully God and fully human.