We all engage in the process of reasoning, but we don't always pay attention to whether we are doing it well. This book offers the opportunity to practise reasoning in a clear-headed and critical way, with the aims of developing an awareness of the importance of reasoning well and of improving the reader's skill in analyzing and evaluating arguments. In this third edition, Anne Thomson has updated and revised the book to include fresh and topical examples which will guide students through the processes of critical reasoning in a clear and engaging way. In addition, two new chapters on evaluating the credibility of evidence and decision making and dilemmas will fully equip students to reason well. By the end of the book students should be able to: identify flaws in arguments analyze the reasoning in newspaper articles, books and speeches assess the credibilty of evidence and authorities make sound decisions and solve dilemmas approach any topic with the ability to reason and think critically.

This book is about the idea that some true statements would have been true no matter how the world had turned out, while others could have been false. It develops and defends a version of the idea that we tell the difference between these two types of truths in part by reflecting on the meanings of words. It has often been thought that modal issues-issues about possibility and necessity-are related to issues about meaning. In this book, the author defends the view that the analysis of meaning is not just a preliminary to answering modal questions in philosophy; it is not merely that before we can find out whether something is possible, we need to get clear on what we are talking about. Rather, clarity about meaning often brings with it answers to modal questions. In service of this view, the author analyzes the notion of necessity and develops ideas about linguistic meaning, applying them to several puzzles and problems in philosophy of language. Meaning and Metaphysical Necessity will be of interest to scholars and advanced students working in metaphysics, philosophy of language, and philosophical logic.

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.

This book sets out for the first time in English and in the terms of modern logic the semantics of the Port Royal Logic (La Logique ou l'Art de penser, 1662-1685) of Antoine Arnauld and Pierre Nicole, perhaps the most influential logic book in the 17th and 18th centuries. Its goal is to explain how the Logic reworks the foundation of pre-Cartesian logic so as to make it compatible with Descartes' metaphysics. The Logic's authors forged a new theory of reference based on the medieval notion of objective being, which is essentially the modern notion of intentional content. Indeed, the book's central aim is to detail how the Logic reoriented semantics so that it centered on the notion of intentional content. This content, which the Logic calls comprehension, consists of an idea's defining modes. Mechanisms are defined in terms of comprehension that rework earlier explanations of central notions like conceptual inclusion, signification, abstraction, idea restriction, sensation, and most importantly within the Logic's metatheory, the concept of idea-extension, which is a new technical concept coined by the Logic. Although Descartes is famous for rejecting "Aristotelianism," he says virtually nothing about technical concepts in logic. His followers fill the gap. By putting to use the doctrine of objective being, which had been a relatively minor part of medieval logic, they preserve more central semantic doctrines, especially a correspondence theory of truth. A recurring theme of the book is the degree to which the Logic hews to medieval theory. This interpretation is at odds with what has become a standard reading among French scholars according to which this 16th-century work should be understood as rejecting earlier logic along with Aristotelian metaphysics, and as putting in its place structures more like those of 19th-century class theory.

This book defends the Direct Reference (DR) thesis in philosophy of language regarding proper names and indexical pronouns. It uniquely draws out the significant consequences of DR when it is conjoined with the fact that these singular terms sometimes fail to refer. Even though DR is widely endorsed by philosophers of language, many philosophically important and radically controversial consequences of the thesis have gone largely unexplored. This book makes an important contribution to the DR literature by explicitly addressing the consequences that follow from DR regarding failure of reference. Michael McKinsey argues that only a form of neutral free logic can capture a revised concept of logical truth that is consistent with the fact that any sentence of any form that contains a directly referring genuine term can fail to be either true or false on interpretations where that term fails to refer. He also explains how it is possible for there to be true (or false) sentences that contain non-referring names, even though this possibility seems inconsistent with DR. Consequences of Reference Failure will be of interest to philosophers of language and logic and linguists working on Direct Reference.

This volume contains 12 papers addressed to researchers and advanced students in informal logic and related fields, such as argumentation, formal logic, and communications. Among the issues discussed are attempts to rethink the nature of argument and of inference, the role of dialectical context, and the standards for evaluating inferences, and to shed light on the interfaces between informal logic and argumentation theory, rhetoric, formal logic and cognitive psychology.

Silly rabbit Your argument is ill-founded.

Have you read (or stumbled into) one too many irrational online debates? Ali Almossawi certainly had, so he wrote An Illustrated Book of Bad Arguments This handy guide is here to bring the internet age a much-needed dose of old-school logic (really old-school, a la Aristotle).

Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas. Rabbit thinks a strange light in the sky must be a UFO because no one can prove otherwise (the appeal to ignorance). And Lion doesn t believe that gas emissions harm the planet because, if that were true, he wouldn t like the result (the argument from consequences).

Once you learn to recognize these abuses of reason, they start to crop up everywhere from congressional debate to YouTube comments which makes this geek-chic book a must for anyone in the habit of holding opinions. It s the antidote to fuzzy thinking, with furry animals "

The aim of the present book is to give a comprehensive account of the 'state of the art' of substructural logics, focusing both on their proof theory (especially on sequent calculi and their generalizations) and on their semantics (both algebraic and relational. It is for graduate students in either philosophy, mathematics, theoretical computer science or theoretical linguistics as well as specialists and researchers.

The theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle's ontological square, logical oppositions in Avicenna's hypothetical logic, and the power of the square of opposition to solve theological problems regarding predestination and theodicy. Other topics covered include: Hegel's opposition to diagrams De Morgan's unpublished octagon of opposition turnstile figures of opposition institutional model-theoretic treatment of oppositions Lacan's four formulas of sexuation the theory of oppositional poly-simplexes The Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts.

This book proposes a novel theory of truth and falsity. It argues that truth is a form of reference and falsity is a form of reference failure. Most of the philosophical literature on truth concentrates on certain ontological and epistemic problems. This book focuses instead on language. By utilizing the Fregean idea that sentences are singular referring expressions, the author develops novel connections between the philosophical study of truth and falsity and the huge literature in in the philosophy of language on the notion of reference. The first part of the book constructs the author's theory and argues for it in length. Part II addresses the ways in which the theory relates to, and is different from, some of the basic theories of truth. Part III takes up how to account for the truth of sentences with logical operators and quantifiers. Finally, Part IV discusses the applications and implications of the theory for longstanding problems in philosophy of language, metaphysics, and epistemology. A Referential Theory of Truth and Falsity will appeal to researchers and advanced students working in philosophy of language, epistemology, metaphysics, and linguistics.

A system of philosophy of the sort presented in this and the following volumes begins with logic. Philosophy properly speaking is characterized by the kind oflogic it employs, for what it employs it assumes, however silently; and what it assumes it presupposes. The logic stands behind the ontology and is, so to speak, metaphysically prior. One word of caution. The philosophical aspects of logic have lagged behind the mathematical aspects in point of view of interest and develop ment. The work of N. Rescher and others have gone a long way to correct this. However, their work on philosophical logic has been more concerned with the logical than with the philosophical aspects. I have in mind another approach, one that would call attention to the ontological (systematic meta physics) or metaphysical (critical ontology) aspects, whichever term you prefer. It is this approach which I have pursued in the following chapters. Since together they stand at the head of a system of philosophy which has been developed in some seventeen books, a system which ranges over all of the topics of philosophy, the chosen approach can be seen as the necessary one. But I have not written any logic, I have merely indicated the sort of logic that has to be written."

We share the capacity for knowledge with animals, but it is the nature and the scope of what we may rationally believe that makes us human. Yet what kind of beliefs do qualify as 'rational'? This challenging and refreshingly innovative book addresses certain fundamental questions concerning rational legitimacy of some widely held beliefs and provides argument-based answers to such questions, while at the same time encouraging the reader to actively engage with the views put forward and form his/her own judgement. The book is typically discursive rather than simply informative, and introduces philosophy by doing it.

The two volumes in this advanced textbook present results, proof methods, and translations of motivational and philosophical considerations to formal constructions. In this Vol. I the author explains preferential structures and abstract size. In the associated Vol. II he presents chapters on theory revision and sums, defeasible inheritance theory, interpolation, neighbourhood semantics and deontic logic, abstract independence, and various aspects of nonmonotonic and other logics. In both volumes the text contains many exercises and some solutions, and the author limits the discussion of motivation and general context throughout, offering this only when it aids understanding of the formal material, in particular to illustrate the path from intuition to formalisation. Together these books are a suitable compendium for graduate students and researchers in the area of computer science and mathematical logic.

This volume collects fifteen original essays on E. J. Lowe's work on metaphysics and ontology. The essays connect Lowe's insights with contemporary issues in metaphysics. E. J. Lowe (1950-2014) was one of the most influential analytical philosophers of the twentieth and early twenty-first century. Drawing inspiration from Aristotle's thought, E. J. Lowe treated metaphysics as an autonomous discipline concerned with the fundamental structure of reality. The chapters in this volume reflect on his path-breaking work. They deal with a wide range of metaphysical issues including four-category ontology, the causal and non-causal aspects of agency, categorial fundamentality and non-fundamentality, the existence of relations, property dualism, powers and abilities, personal identity, predication, and topological ontology. Taken together, the chapters reflect the liveliness of contemporary debates in metaphysics and the enduring impact of Lowe's thought on them. E. J. Lowe and Ontology will be of interest to researchers and advanced students working in metaphysics and philosophy of mind.

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart's work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell's Collected Papers.

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.

People tend to rank values of all kinds linearly from good to bad, but there is little reason to think that this is reasonable or correct. This book argues, to the contrary, that values are often partially ordered and hence frequently incomparable. Proceeding logically from a small set of axioms, John Nolt examines the great variety of partially ordered value structures, exposing fallacies that arise from overlooking them. He reveals various ways in which incomparability is obscured: using linear indices to summarize partially ordered data, relying on an inadequately defined concept of parity, or conflating incomparability with vagueness. Incomparability can enrich and clarify a range of topics including the paradoxes of Derek Parfit, rational decision theory, and the infinite values of theology. Finally, Nolt shows how to generalize many of the concepts introduced earlier, explores the intricate depths of certain noteworthy partially ordered value structures, and argues for the finitude of value. Incomparable Values will be of interest to scholars and advanced students working in ethics, value theory, rational decision theory, and logic.

This book uncovers a logical fallacy underlying Afro-Pessimism and provides a formal theory of Articulation, teasing out new reflections on race and Blackness. Afro-Pessimism maintains that Blacks, subject to a subordinate position in society, suffer a cultural death. In this monograph, Victor Peterson rejects this theory, demonstrating that Black subjectivity is inherently multiple, articulating identities appropriate to the contexts in which it finds itself and yet remaining continuous across its individual but not mutually exclusive instantiations. Peterson argues that we should consider the mechanisms that produce the conditions under which individuals obtain positions of either dominance or subordination. By providing a working logical foundation for Articulation theory within cultural studies, Peterson encourages us to rethink the politics of racial identity and subjectivity in contemporary social life. Encouraging critical thought about the arbitrarily determined but instrumentally objective of our global racial order, this book will be of great interest to scholars of Black Studies, sociology, cultural studies, and philosophy.

This lucid and original book offers a detailed and critical exposition of German metaphysics and philosophy of logic during the past century. Julian Roberts sets his argument in the context of the current debate between "analytical" and "continental" philosophers. the book centers on the problem of reflection-exploration of the boundaries of rationality, or (in analytical terms) of the "limits of thought"-which Roberts claims lies at the heart of both traditions. Roberts concentrates on the work of Frege, Wittengenstein, Husserl, the Erlangen School, and Habermas. In the course of his examination, however, he also considers philosophers ranging from Russell and Quine to Putnam and Heidegger. Roberts argues that the technical advances of modern logic have not, as is sometimes believed by analytical thinkers, generated uniquely modern problems that can only be dealt with by a correspondingly modernist philosophy, for the problem of reflection was already at the heart of Kant's critical project and of his confrontation with Leibniz. If we recover this earlier debate, says Roberts, we can develop a more adequate understanding not merely of its echoes in the twentieth century, but of the role and contribution of metaphysics and of philosophy in general.

The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.

This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.

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.

Hellenistic philosophy concerns the thought of the Epicureans, Stoics, and Skeptics, the most influential philosophical groups in the era between the death of Alexander the Great (323 BCE) and the defeat of the last Greek stronghold in the ancient world (31 BCE). The Routledge Handbook of Hellenistic Philosophy provides accessible yet rigorous introductions to the theories of knowledge, ethics, and physics belonging to each of the three schools, explores the fascinating ways in which interschool rivalries shaped the philosophies of the era, and offers unique insight into the relevance of Hellenistic views to issues today, such as environmental ethics, consumerism, and bioethics. Eleven countries are represented among the Handbook's 35 authors, whose chapters were written specifically for this volume and are organized thematically into six sections: The people, history, and methods of Epicureanism, Stoicism, and Skepticism. Earlier philosophical influences on Hellenistic thought, such as Aristotle, Socrates, and Presocratics. The soul, perception, and knowledge. God, fate, and the primary principles of nature and the universe. Ethics, political theory, society, and community. Hellenistic philosophy's relevance to contemporary life. Spanning from the ancient past to the present, this Handbook aims to show that Hellenistic philosophy has much to offer all thinking people of the twenty-first century.