G. E. Moore famously observed that to assert, 'I went to the pictures last Tuesday but I don't believe that I did' would be 'absurd'. Moore calls it a 'paradox' that this absurdity persists despite the fact that what I say about myself might be true. Over half a century later, such sayings continue to perplex philosophers and other students of language, logic, and cognition. Ludwig Wittgenstein was fascinated by Moore's example, and the absurdity of Moore's saying was intensively discussed in the mid-20th century. Yet the source of the absurdity has remained elusive, and its recalcitrance has led researchers in recent decades to address it with greater care. In this definitive treatment of the problem of Moorean absurdity Green and Williams survey the history and relevance of the paradox and leading approaches to resolving it, and present new essays by leading thinkers in the area. Contributors Jonathan Adler, Bradley Armour-Garb, Jay D. Atlas, Thomas Baldwin, Claudio de Almeida, Andre Gallois, Robert Gordon, Mitchell Green, Alan Hajek, Roy Sorensen, John Williams

This is a collection of essays about logic and its applications to various philosophical problems. In general, it is argued that logic constitutes an important device of philosophical analysis. Concerning the nature of logic the author defends the thesis that first-order logic is the logic. Among the philosophical problems to which logic is applied in the essays are: truth, consistency, realism, foundations of semantics, psychologism, undetermination of theories by empirical data, modalities, value concepts, identity, vagueness, God's existence, transcendentals, legal reasoning, category mistakes, bivalence, the cognitive relation, and meaningfulness.

The capacity to represent things to ourselves as possible plays a crucial role both in everyday thinking and in philosophical reasoning; this volume offers much-needed philosophical illumination of conceivability, possibility, and the relations between them.

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

In this book, Bryan Wesley Hall breaks new ground in Kant scholarship, exploring the gap in Kant's Critical philosophy in relation to his post-Critical work by turning to Kant's final, unpublished work, the so-called Opus Postumum. Although Kant considered this project to be the "keystone" of his philosophical efforts, it has been largely neglected by scholars. Hall argues that only by understanding the Opus Postumum can we fully comprehend both Kant's mature view as well as his Critical project. In letters from 1798, Kant claims to have discovered a "gap" in the Critical philosophy that requires effecting a "transition from the metaphysical foundations of natural science to physics"; unfortunately, Kant does not make clear exactly what this gap is or how the transition is supposed to fill the gap. To resolve these issues, Hall draws on the Opus Postumum, arguing that Kant's transition project can solve certain perennial problems with the Critical philosophy. This volume provides a powerful alternative to all current interpretations of the Opus Postumum, arguing that Kant's transition project is best seen as the post-Critical culmination of his Critical philosophy. Hall carefully examines the deep connections between the Opus Postumum and the view Kant develops in the Critique of Pure Reason, to suggest that properly understanding the post-Critical Kant will significantly revise our view of Kant's Critical period.

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.

Epistemic Principles: A Primer of the Theory of Knowledge presents a compact account of the basic principles of the theory of knowledge. In doing this, Nicholas Rescher aims to fill the current gap in contemporary philosophical theory of knowledge with a comprehensive analysis of epistemological fundamentals. The book is not a mere inventory of such rules and principles, but rather interweaves them into a continuous exposition of basic issues. Written at a user-friendly and accessible level, Epistemic Principles is an essential addition for both advanced undergraduate and graduate courses in epistemology.

Timothy Williamson is one of the most influential living philosophers working in the areas of logic and metaphysics. His work in these areas has been particularly influential in shaping debates about metaphysical modality, which is the topic of his recent provocative and closely-argued book Modal Logic as Metaphysics (2013). This book comprises ten essays by metaphysicians and logicians responding to Williamson's work on metaphysical modality, as well as replies by Williamson to each essay. In addition, it contains an original essay by Williamson, 'Modal science,' concerning the role of modal claims in natural science. This book was originally published as a special issue of the Canadian Journal of Philosophy.

"The book's major parts, one on polarity and the other on analogy, introduce the reader to the patterns of thinking that are fundamental not only to Greek philosophy but also to classical civilization as a whole. As a leading classicist in his own right, Lloyd is an impeccable guide. His sophistication in adducing anthropological parallels to Greek models of polarity and analogy broadens his perspective, making him a forerunner in the study of what we are now used to calling semiotics. A striking example of Lloyd's approach is his re-examination of the dichotomy of Olympian and chthonian gods in ancient Greek world view, which surpasses the reductionist and pseudo-historical models of sky-gods and earth-goddesses that are still commonly invoked to account for polarities in Greek pantheon. "In the second part, dealing with analogy, three crucial metaphorical models for the universe turn out to be basis for a dazzlingly wide variety of scientific and philosophical perspectives. Each model is tested in the whole spectrum of Greek artistic, philosophical and scientific thought. This work is a treasure-house of insights for experts and non experts alike." --Gregory Nagy, Harvard University

From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be of interest to the intuitionist mathematician. Originally, I intended to include more material in that spirit but I decided against it. There is no coherent body of material to include that builds naturally on the present book. There are some serious results on topological models, second order Beth and Kripke models, theories of types, etc., but it would require further research to be able to present a general theory, possibly using sheaves. That would have postponed pUblication for too long. I would like to dedicate this book to my colleagues, Professors G. Kreisel, M.O. Rabin and D. Scott. I have benefited greatly from Professor Kreisel's criticism and suggestions. Professor Rabin's fun damental results on decidability and undecidability provided the powerful tools used in obtaining the majority of the results reported in this book. Professor Scott's approach to non-classical logics and especially his analysis of the Scott consequence relation makes it possible to present Heyting's logic as a beautiful, integral part of non-classical logics."

First published in 1985, Practical Inferences describes how practical inferences are used. Starting with relatively simple inference patterns exhibited in everyday prudential decisions, the author extends a basic structural framework to the more complex inferences used in assessing probabilities, and finally to moral inferences. In this way what have been regarded as disparate activities are shown to exhibit fundamental similarities. The author argues that at all levels of decision-making the practical inferences used contain at least one premise expressing the desires or preferences of the agent. This is in opposition to the dominant view in Western philosophy that desires must be regulated or evaluated by means of principles of conduct discovered by rational procedures. By examining the premises implied by holders of this view, the author shows that they are inadequate bases for justifying practical decisions. This book will be of interest to students of philosophy, logic and mathematics.

Language as reason represents the unifying theme of this multifaceted reflection on Eddo Rigotti's scientific contribution offered by his students and colleagues on the occasion of his seventieth birthday. Spanning argumentation theory, linguistics, psychology, semiotics and communication sciences, the volume reflects Rigotti's generous personality and his trajectory of semiotician, philosopher, linguist and specialist in argumentation studies. Language as an instrument of communication with semiotic peculiarities is considered at different levels in which it manifests traces of reason at work. This means considering how reality reveals itself by means of language and how the semiotic character of language structures is used by people to enable joint actions and change the natural and social world. Particularly in focus is the realm of argumentation, that is of those joint actions where people exchange reasons in various communities, fora and markets in view of understanding and practical deliberation. To argumentation Eddo Rigotti devoted all his research efforts in recent years, with a keen sense of its intrinsic educational value and a sincere care for fostering the development of the argumentative mind.

This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations. We need to understand the impossible. Francesco Berto and Mark Jago start by considering what the concepts of meaning, information, knowledge, belief, fiction, conditionality, and counterfactual supposition have in common. They are all concepts which divide the world up more finely than logic does. Logically equivalent sentences may carry different meanings and information and may differ in how they're believed. Fictions can be inconsistent yet meaningful. We can suppose impossible things without collapsing into total incoherence. Yet for the leading philosophical theories of meaning, these phenomena are an unfathomable mystery. To understand these concepts, we need a metaphysical, logical, and conceptual grasp of situations that could not possibly exist: Impossible Worlds. This book discusses the metaphysics of impossible worlds and applies the concept to a range of central topics and open issues in logic, semantics, and philosophy. It considers problems in the logic of knowledge, the meaning of alternative logics, models of imagination and mental simulation, the theory of information, truth in fiction, the meaning of conditional statements, and reasoning about the impossible. In all these cases, impossible worlds have an essential role to play.

Reason and Nature investigates the norms of reason--the standards which contribute to determining whether beliefs, inferences, and actions are rational. Nine philosophers and two psychologists discuss what kinds of things these norms are, how they can be situated within the natural world, and what role they play in the psychological explanation of belief and action. Current work in the theory of rationality is subject to very diverse influences ranging from experimental and theoretical psychology, through philosophy of logic and language, to metaethics and the theory of practical reasoning; this range is well represented here.

Bayesian nets are widely used in artificial intelligence as a calculus for casual reasoning, enabling machines to make predictions, perform diagnoses, take decisions and even to discover casual relationships. But many philosophers have criticized and ultimately rejected the central assumption on which such work is based-the causal Markov Condition. So should Bayesian nets be abandoned? What explains their success in artificial intelligence? This book argues that the Causal Markov Condition holds as a default rule: it often holds but may need to be repealed in the face of counter examples. Thus, Bayesian nets are the right tool to use by default but naively applying them can lead to problems. The book develops a systematic account of causal reasoning and shows how Bayesian nets can be coherently employed to automate the reasoning processes of an artificial agent. The resulting framework for causal reasoning involves not only new algorithms, but also new conceptual foundations. Probability and causality are treated as mental notions - part of an agent's belief state. Yet probability and causality are also objective - different agents with the same background knowledge ought to adopt the same or similar probabilistic and causal beliefs. This book, aimed at researchers and graduate students in computer science, mathematics and philosophy, provides a general introduction to these philosophical views as well as exposition of the computational techniques that they motivate.

This collection presents the first sustained examination of the nature and status of the idea of principles in early modern thought. Principles are almost ubiquitous in the seventeenth and eighteenth centuries: the term appears in famous book titles, such as Newton's Principia; the notion plays a central role in the thought of many leading philosophers, such as Leibniz's Principle of Sufficient Reason; and many of the great discoveries of the period, such as the Law of Gravitational Attraction, were described as principles. Ranging from mathematics and law to chemistry, from natural and moral philosophy to natural theology, and covering some of the leading thinkers of the period, this volume presents ten compelling new essays that illustrate the centrality and importance of the idea of principles in early modern thought. It contains chapters by leading scholars in the field, including the Leibniz scholar Daniel Garber and the historian of chemistry William R. Newman, as well as exciting, emerging scholars, such as the Newton scholar Kirsten Walsh and a leading expert on experimental philosophy, Alberto Vanzo. The Idea of Principles in Early Modern Thought: Interdisciplinary Perspectives charts the terrain of one of the period's central concepts for the first time, and opens up new lines for further research.

The founder of both American pragmatism and semiotics, Charles Sanders Peirce (1839-1914) is widely regarded as an enormously important and pioneering theorist. In this book, scholars from around the world examine the nature and significance of Peirce's work on perception, iconicity, and diagrammatic thinking. Abjuring any strict dichotomy between presentational and representational mental activity, Peirce's theories transform the Aristotelian, Humean, and Kantian paradigms that continue to hold sway today and, in so doing, forge a new path for understanding the centrality of visual thinking in science, education, art, and communication. The essays in this collection cover a wide range of issues related to Peirce's theories, including the perception of generality; the legacy of ideas being copies of impressions; imagination and its contribution to knowledge; logical graphs, diagrams, and the question of whether their iconicity distinguishes them from other sorts of symbolic notation; how images and diagrams contribute to scientific discovery and make it possible to perceive formal relations; and the importance and danger of using diagrams to convey scientific ideas. This book is a key resource for scholars interested in Perice's philosophy and its relation to contemporary issues in mathematics, philosophy of mind, philosophy of perception, semiotics, logic, visual thinking, and cognitive science.

This book offers a comprehensive account of logic that addresses fundamental issues concerning the nature and foundations of the discipline. The authors claim that these foundations can not only be established without the need for strong metaphysical assumptions, but also without hypostasizing logical forms as specific entities. They present a systematic argument that the primary subject matter of logic is our linguistic interaction rather than our private reasoning and it is thus misleading to see logic as revealing "the laws of thought". In this sense, fundamental logical laws are implicit to our "language games" and are thus more similar to social norms than to the laws of nature. Peregrin and Svoboda also show that logical theories, despite the fact that they rely on rules implicit to our actual linguistic practice, firm up these rules and make them explicit. By carefully scrutinizing the project of logical analysis, the authors demonstrate that logical rules can be best seen as products of the so called reflective equilibrium. They suggest that we can profit from viewing languages as "inferential landscapes" and logicians as "geographers" who map them and try to pave safe routes through them. This book is an essential resource for scholars and researchers engaged with the foundations of logical theories and the philosophy of language.

This book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dicto distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems, which are widely regarded as the easiest to teach and use. It also includes a diagram technique that extends the method of truth trees to modal logic. This provides a foundation for a novel method for showing completeness that is easy to extend to quantifiers. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout.

This book examines the progress to date in the many facets - conceptual, epistemological and methodological - of the field of legal semiotics. It reflects the fulfilment of the promise of legal semiotics when used to explore the law, its processes and interpretation.

This study in Legal Semiotics brings together the theory, structure and practise of legal semiotics in an accessible style. The book introduces the concepts of legal semiotics and offers an insight in contemporary and future directions which the semiotics of law is going to take.

A theoretical and practical oriented synthesis of the historical, contemporary and most recent ideas pertaining to legal semiotics, the book will be of interest to scholars and researchers in law and social sciences, as well as those who are interested in the interdisciplinary dynamics of law and semiotics.

Were the most serious philosophers of the millennium 200 A.D. to 1200 A.D. just confused mystics? This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine. The Neoplatonists devise ranking predicates like good, excellent, perfect to divide the Chain of Being, and use the predicate intensifier hyper so that it becomes a valid logical argument to reason from God is not (merely) good to God is hyper-good. In this way the relational facts underlying reality find expression in Aristotle's subject-predicate statements, and the Platonic tradition proves able to subsume Aristotle's logic while at the same time rejecting his metaphysics. In the Middle Ages when Aristotle's larger philosophy was recovered and joined again to the Neoplatonic tradition which was never lost, Neoplatonic logic lived along side Aristotle's metaphysics in a sometime confusing and unsettled way. Showing Neoplatonism to be significantly richer in its logical and philosophical ideas than it is usually given credit for, this book will be of interest not just to historians of logic, but to philosophers, logicians, linguists, and theologians.

In this book, Lorraine Besser-Jones develops a eudaimonistic virtue ethics based on a psychological account of human nature. While her project maintains the fundamental features of the eudaimonistic virtue ethical framework-virtue, character, and well-being-she constructs these concepts from an empirical basis, drawing support from the psychological fields of self-determination and self-regulation theory. Besser-Jones's resulting account of "eudaimonic ethics" presents a compelling normative theory and offers insight into what is involved in being a virtuous person and "acting well." This original contribution to contemporary ethics and moral psychology puts forward a provocative hypothesis of what an empirically-based moral theory would look like.

Moral Inferences is the first volume to thoroughly explore the relationship between morality and reasoning. Drawing on the expertise of world-leading researchers, this text provides ground-breaking insight into the importance of studying these distinct fields together. The volume integrates the latest research into morality with current theories in reasoning to consider the prominent role reasoning plays in everyday moral judgements. Featuring contributions on topics such as moral arguments, causal models, and dual process theory, this text provides a new perspectives on previous studies, encouraging researchers to adopt a more integrated approach in the future. Moral Inferences will be essential reading for students and researchers of moral psychology, specifically those interested in reasoning, rationality and decision-making.

Moral Inferences is the first volume to thoroughly explore the relationship between morality and reasoning. Drawing on the expertise of world-leading researchers, this text provides ground-breaking insight into the importance of studying these distinct fields together. The volume integrates the latest research into morality with current theories in reasoning to consider the prominent role reasoning plays in everyday moral judgements. Featuring contributions on topics such as moral arguments, causal models, and dual process theory, this text provides a new perspectives on previous studies, encouraging researchers to adopt a more integrated approach in the future. Moral Inferences will be essential reading for students and researchers of moral psychology, specifically those interested in reasoning, rationality and decision-making.