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Books > Humanities > Philosophy > Topics in philosophy > Logic
The philosophy of modality investigates necessity and possibility, and related notions--are they objective features of mind-independent reality? If so, are they irreducible, or can modal facts be explained in other terms? This volume presents new work on modality by established leaders in the field and by up-and-coming philosophers. Between them, the papers address fundamental questions concerning realism and anti-realism about modality, the nature and basis of facts about what is possible and what is necessary, the nature of modal knowledge, modal logic and its relations to necessary existence and to counterfactual reasoning. The general introduction locates the individual contributions in the wider context of the contemporary discussion of the metaphysics and epistemology of modality.
Between Saying and Doing aims to reconcile pragmatism (in both its classical American and its Wittgensteinian forms) with analytic philosophy. It investigates the relations between the meaning of linguistic expressions and their use. Giving due weight both to what one has to do in order to count as saying various things and to what one needs to say in order to specify those doings, makes it possible to shed new light on the relations between semantics (the theory of the meanings of utterances and the contents of thoughts) and pragmatics (the theory of the functional relations among meaningful or contentful items). Among the vocabularies whose interrelated use and meaning are considered are: logical, indexical, modal, normative, and intentional vocabulary. As the argument proceeds, new ways of thinking about the classic analytic core programs of empiricism, naturalism, and functionalism are offered, as well as novel insights about the ideas of artificial intelligence, the nature of logic, and intentional relations between subjects and objects.
The aim of this monograph is to present some of the basic ideas and results in pure combinatory logic and their applications to some topics in proof theory, and also to present some work of my own. Some of the material in chapter 1 and 3 has already appeared in my notes Introduction to Combinatory Logic. It appears here in revised form since the presen tation in my notes is inaccurate in several respects. I would like to express my gratitude to Stig Kanger for his invalu able advice and encouragement and also for his assistance in a wide variety of matters concerned with my study in Uppsala. I am also in debted to Per Martin-USf for many valuable and instructive conversa tions. As will be seen in chapter 4 and 5, I also owe much to the work of Dag Prawitz and W. W. Tait. My thanks also to Craig McKay who read the manuscript and made valuable suggestions. I want, however, to emphasize that the shortcomings that no doubt can be found, are my sole responsibility. Uppsala, February 1972."
In The Causal Exclusion Problem, the popular strategy of abandoning any one of the principles constituting the causal exclusion problem is considered, but ultimately rejected. The metaphysical foundations undergirding the causal exclusion problem are then explored, revealing that the causal exclusion problem cannot be dislodged by undermining its metaphysical foundations - as some are in the habit of doing. Finally, the significant difficulties associated with the bevy of contemporary nonreductive solutions, from supervenience to emergentism, are expanded upon. While conducting this survey of contemporary options, however, two novel approaches are introduced, both of which may resolve the causal exclusion problem from within a nonreductive physicalist paradigm. The Causal Exclusion Problem, which relentlessly motivates the vexing causal exclusion problem and exhaustively surveys its metaphysical assumptions and contemporary responses, is ideal for an advanced undergraduate or graduate course in the philosophy of mind.
Jan Wolenski and Sandra Lapointe Polish philosophy goes back to the 13th century, when Witelo, famous for his works in optics and the metaphysics of light, lived and worked in Silesia. Yet, Poland's academic life only really began after the University of Cracow was founded in 1364 - its development was interrupted by the sudden death of King Kazimierz III, but it was re-established in 1400. The main currents of classical scholastic thought like Thomism, Scottism or Ockhamism had been late - about a century - to come to Poland and they had a considerable impact on the budding Polish philosophical scene. The controversy between the via antiqua and the via moderna was hotly 1 debated. Intellectuals deliberated on the issues of concilliarism (whether the C- mon Council has priority over the Pope) and curialism (whether the Bishop of Rome has priority over the Common Council). On the whole, the situation had at least two remarkable features. Firstly, Polish philosophy was pluralistic, and remained so, since its very beginning. But it was also eclectic, which might explain why it aimed to a large extent at achieving a compromise between rival views. Secondly, given the shortcomings of the political system of the time as well as external pr- sure by an increasingly hegemonic Germany, thinkers were very much interested in political matters. Poland was a stronghold of political thought (mostly inclined towards concilliarism) and Polish political thought distinguished itself in Europe J."
Wittgenstein's philosophical career began in 1911 when he went to
Cambridge to work with Russell. He compiled the Notes on Logic two
years later as a kind of summary of the work he had done so far.
Russell thought that they were "as good as anything that has ever
been done in logic," but he had Wittgenstein himself to explain
them to him. Without the benefit of Wittgenstein's explanations,
most later scholars have preferred to treat the Notes solely as an
interpretative aid in understanding the Tractatus (which draws on
them for material), rather than as a philosophical work in their
own right.
Gottlob Frege's Grundgesetze der Arithmetik, or Basic Laws of Arithmetic, was intended to be his magnum opus, the book in which he would finally establish his logicist philosophy of arithmetic. But because of the disaster of Russell's Paradox, which undermined Frege's proofs, the more mathematical parts of the book have rarely been read. Richard G. Heck, Jr., aims to change that, and establish it as a neglected masterpiece that must be placed at the center of Frege's philosophy. Part I of Reading Frege's Grundgesetze develops an interpretation of the philosophy of logic that informs Grundgesetze, paying especially close attention to the difficult sections of Frege's book in which he discusses his notorious 'Basic Law V' and attempts to secure its status as a law of logic. Part II examines the mathematical basis of Frege's logicism, explaining and exploring Frege's formal arguments. Heck argues that Frege himself knew that his proofs could be reconstructed so as to avoid Russell's Paradox, and presents Frege's arguments in a way that makes them available to a wide audience. He shows, by example, that careful attention to the structure of Frege's arguments, to what he proved, to how he proved it, and even to what he tried to prove but could not, has much to teach us about Frege's philosophy.
Ideas gain legitimacy as they are put to some practical use. A study of Charles Sanders Peirce (1839-1914) supports this pragmatism as a way of thinking about truth and meaning. Architecture has a strong pragmatic strand, not least as we think of building users, architecture as a practice, the practical demands of building, and utility. After all, Vitruvius placed firmness and delight in the company of utilitas amongst his demands on architecture. Peirce (pronounced 'purse') was a logician, and so many of his ideas are couched in terms of formal propositions and their limitations. His work appeals therefore to many architects grappling with the digital age, and references to his work cropped up in the Design Methods Movement that developed and grew from the 1950s. That movement sought to systematise the design process, contributing to the idea of the RIBA Plan of Work, computer-aided design, and various controversies about rendering the design process transparent and open to scrutiny. Peirce's commitment to logic led him to investigate the basic elements of logical statements, notably the element of the sign. His best-known contribution to design revolves around his intricate theory of semiotics, the science of signs. The study of semiotics divided around the 1980s between advocates of Peirce's semiotics, and the broader, more politically charged field of structuralism. The latter has held sway in architectural discourse since the 1980s. Why this happened and what we gain by reviving a Peircean semiotics is the task of this book.
The Elements of Arguments examines such central critical thinking topics as informal fallacies, the difference between validity and truth, basic formal propositional logic, and how to extract arguments from texts. Turetzky aims to prevent common confusions by clearly explaining a number of important distinctions, including: propositions vs. propositional attitudes, propositions vs. states of affairs, and logic vs. rhetoric vs. psychology. Exercises are provided throughout, including numerous informal arguments that can be assessed using the skills and strategies presented within the book.
If there is one utterly inescapable problem for the metaphysician, it is this: is metaphysics itself a theoretically legitimate discipline? Is it, in other words, capable of a systematic and well-confirmed set of theoretical results? And if not, why not? From its inception, metaphysics has found itself exercised by the nagging worry that its own inquiries might reveal it to be a subject without an object, or a mode of inquiry without a method. Such concerns were voiced as early as Plato's discussion of the battle between the Gods and Giants. Since then, no era of its history has spared metaphysics some rehearsal of this question. In Empiricism and the Problem of Metaphysics, Paul Studtmann defends an empiricist critique of metaphysical theorizing. At the heart of the critique is an empiricist view of a priori knowledge, according to which all a priori knowledge is empirical knowledge of the results of effective procedures. Such a view of a priori knowledge places severe limits on the scope a priori speculation and indeed places beyond our ken the types of claims that metaphysicians as well as traditional epistemologists and ethicists have typically wanted to make.
The problem of determinism arises in all the major areas of philosophy. The first part of this book, first published in 1991, is a critical and historical exposition of the problem and the most important ideas and arguments which have arisen over the many years of debate. The second part considers the various forms of determinism and the implications that they engender.
Ideas gain legitimacy as they are put to some practical use. A study of Charles Sanders Peirce (1839-1914) supports this pragmatism as a way of thinking about truth and meaning. Architecture has a strong pragmatic strand, not least as we think of building users, architecture as a practice, the practical demands of building, and utility. After all, Vitruvius placed firmness and delight in the company of utilitas amongst his demands on architecture. Peirce (pronounced 'purse') was a logician, and so many of his ideas are couched in terms of formal propositions and their limitations. His work appeals therefore to many architects grappling with the digital age, and references to his work cropped up in the Design Methods Movement that developed and grew from the 1950s. That movement sought to systematise the design process, contributing to the idea of the RIBA Plan of Work, computer-aided design, and various controversies about rendering the design process transparent and open to scrutiny. Peirce's commitment to logic led him to investigate the basic elements of logical statements, notably the element of the sign. His best-known contribution to design revolves around his intricate theory of semiotics, the science of signs. The study of semiotics divided around the 1980s between advocates of Peirce's semiotics, and the broader, more politically charged field of structuralism. The latter has held sway in architectural discourse since the 1980s. Why this happened and what we gain by reviving a Peircean semiotics is the task of this book.
Winner of the 2020 Symposium Book Award by the Canadian Society for Continental Philosophy Stella Gaon provides the first fully philosophical account of the critical nature of deconstruction, and she does so by turning in an original way to psychoanalysis. Drawing on close readings of Freud and Laplanche, Gaon argues that Derridean deconstruction is driven by a normative investment in reason's psychological force. Indeed, deconstruction is more faithful to the principle of reason than the various forms of critical theory prevalent today. For if one pursues the classical demand for rational grounds vigilantly, one finds that claims to ethical or political legitimacy cannot be rationally justified, because they are undone by logical undecidability. Gaon's argument is borne out in the cases of Kantian deontology, Deweyan pragmatism, progressive pedagogy, Habermasian moral theory, Levinasian ethics and others. What emerges is the groundbreaking demonstration that deconstruction is impelled by a quasi-ethical critical drive, and that to read deconstructively is to radicalize the emancipatory practice of reason as self-critique. This important volume will be of great value to critical theorists as well as to Derrida scholars and researchers in social and political thought.
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.
This book brings together an influential sequence of papers that argue for a radical re-conceptualisation of the psychology of inference, and of cognitive science more generally. The papers demonstrate that the thesis that logic provides the basis of human inference is central to much cognitive science, although the commitment to this view is often implicit. They then note that almost all human inference is uncertain, whereas logic is the calculus of certain inference. This mismatch means that logic is not the appropriate model for human thought. Oaksford and Chater's argument draws on research in computer science, artificial intelligence and philosophy of science, in addition to experimental psychology. The authors propose that probability theory, the calculus of uncertain inference, provides a more appropriate model for human thought. They show how a probabilistic account can provide detailed explanations of experimental data on Wason's selection task, which many have viewed as providing a paradigmatic demonstration of human irrationality. Oaksford and Chater show that people's behaviour appears irrational only from a logical point of view, whereas it is entirely rational from a probabilistic perspective. The shift to a probabilistic framework for human inference has significant implications for the psychology of reasoning, cognitive science more generally, and forour picture of ourselves as rational agents.
This book presents an interpretation of Kant's Critique of Pure Reason as a priori psychologism. It groups Kant's philosophy together with those of the British empiricists-Locke, Berkeley, and Hume-in a single line of psychologistic succession and offers a clear explanation of how Kant's psychologism differs from psychology and idealism. The book reconciles Kant's philosophy with subsequent developments in science and mathematics, including post-Fregean mathematical logic, non-Euclidean geometry, and both relativity and quantum theory. It also relates Kant's psychologism to Wittgenstein's later conception of language. Finally, the author reveals the ways in which Kant's philosophy dovetails with contemporary scientific theorizing about the natural phenomenon of consciousness and its place in nature. This book will be of interest to Kant scholars and historians of philosophy working on the British empiricists.
The International Congresses of Logic, Methodology and Philosophy of Science, which are held every fourth year, give a cross-section of ongoing research in logic and philosophy of science. Both the invited lectures and the many contributed papers are conductive to this end. At the 9th Congress held in Uppsala in 1991 there were 54 invited lectures and around 650 contributed papers divided into 15 different sections. Some of the speakers who presented contributed papers that attracted special interest were invited to submit their papers for publication, and the result is the present volume. A few papers appear here more or less as they were presented at the Congress whereas others are expansions or elaborations of the talks given at the Congress. A selection of this kind, containing 38 papers drawn from the 650 contributed papers presented at the Uppsala Congress, cannot do justice to all facets of the field as it appeared at the Congress. But it should allow the reader to get a representative survey of contemporary research in large areas of philosophical logic and philosophy of science. About half of the papers of the volume appear in sections listed at the Congress under the heading Philosophical and Foundational Problems about the Sciences. The section Foundations of Logic, Mathematics and Computer Science is represented by three papers, Foundations of Physical Sciences by six papers, Foundations of Biological Sciences by three papers, Foundations of Cognitive Science and AI by one paper, and Foundations of Linguistics by three papers.
Originally published in 1973, this book shows that methods developed for the semantics of systems of formal logic can be successfully applied to problems about the semantics of natural languages; and, moreover, that such methods can take account of features of natural language which have often been thought incapable of formal treatment, such as vagueness, context dependence and metaphorical meaning. Parts 1 and 2 set out a class of formal languages and their semantics. Parts 3 and 4 show that these formal languages are rich enought to be used in the precise description of natural languages. Appendices describe some of the concepts discussed in the text.
Originally published in 1937. This book is a classic work on the philosophy of time, looking at the pshychology, physics and logic of time before investigating the views of Kant, Bergson, Alexander, McTaggart and Dunne. The second half of the book contains more indepth consideration of prediction, the concepts of past and future, and reality.
Originally published in 1991. A multidisciplinary guide in the form of a bibliography of selected time-related books and articles divided into 25 existing academic disciplines and about 100 subdisciplines which have a wide application to time studies.
Originally published in 1964. This lively, challenging book, written with enthusiasm, conviction and clarity, sets out to elucidate the shadowy concept of Time. This involves central philosophical issues, which are vigorously discussed. Also relativity theory, in a clear-cut exposition, is made intelligible in a new light. All who are interested in science and its philosophical implications will find this book highly controversial but certainly readable. The author believes philosophy to be important, not only for its professionals, but for everyman. He believes that the fact that this is no longer realised shows that something is wrong with professional philosophy; he also indicates what this is. The book ends, surprisingly but pertinently, with a bold plunge into the questions of telepathy, precognition and psychical research generally. Whilst the phenomena are reasonably admitted, trenchant criticism of their significance confronts parapsychologists.
Reading Wittgenstein's Philosophical Investigations: A Beginners Guide is written for anyone who faces the challenge of reading Philosophical Investigations. John J. Ross guides the reader slowly through each relevant section of text, explaining and elaborating key ideas, and providing the philosophical and biographical background that illuminates the problems Wittgenstein is addressing. Reading Wittgenstein's Philosophical Investigations is designed to be used in the examination of the Investigations as a whole or in part; the reader can focus solely on Mathematics or Psychology, if needed. While Ross does address some of the philosophical controversies surrounding Wittgenstein's ideas, the discussions are appropriate for an undergraduate, so the book can be used fruitfully by anyone with that level of education who has an interest in Wittgenstein's seminal work.
Why We Argue (And How We Should): A Guide to Political Disagreement in an Age of Unreason presents an accessible and engaging introduction to the theory of argument, with special emphasis on the way argument works in public political debate. The authors develop a view according to which proper argument is necessary for one's individual cognitive health; this insight is then expanded to the collective health of one's society. Proper argumentation, then, is seen to play a central role in a well-functioning democracy. Written in a lively style and filled with examples drawn from the real world of contemporary politics, and questions following each chapter to encourage discussion, Why We Argue (And How We Should) reads like a guide for the participation in, and maintenance of, modern democracy. An excellent student resource for courses in critical thinking, political philosophy, and related fields, Why We Argue (And How We Should) is an important contribution to reasoned debate. What's New in the Second Edition: Updated examples throughout the book, including examples from the 2016 U.S. election and first years of the Trump presidency; Expanded coverage of dialectical fallacies, including coverage of new types of fallacies and of sites where such fallacies thrive (e.g., cable news, social media); Revised For Further Thought questions and definitions of Key Terms, included at the end of each chapter; The addition of five new chapters: Deep Disagreement Argument by Analogy Argument between the Ads The Owl of Minerva (or weaponizing metalanguage) Argumentative Responsibility and Repair.
Sanskrit Debate: Vasubandhu's 'Vimsatika' versus Kumarila's 'Niralambanavada' illustrates the rules and regulations of classical Indian debate literature (pramanasastra) by introducing new translations of two Sanskrit texts composed in antithesis to each other's tradition of thought and practice. In the third century CE, Vasubandhu, a Buddhist philosopher-monk, proposed that the entire world of lived experience is a matter of mind only through his Vimsatika (Twenty Verses). In the seventh century CE, Kumarila, a Hindu philosopher-priest, composed Niralambanavada (Non-Sensory Limit Debate) to establish the objective reality of objects by refuting Vasubandhu's claim that objects experienced in waking life are not different from objects experienced in dreams. Kumarila rigorously employs formal rules and regulations of Indian logic and debate to demonstrate that Vasubandhu's assertion is totally irrational and incoherent. Vimsatika ranks among the world's most misunderstood texts but Kumarila's historic refutation allows Vimsatika to be read in its own text-historical context. This compelling, radically revolutionary re-reading of Vimsatika delineates a hermeneutic of humor indispensable to discerning its medicinal message. In Vimsatika, Vasubandhu employs the form of professional Sanskrit logic and debate as a guise and a ruse to ridicule the entire enterprise of Indian philosophy. Vasubandhu critiques all Indian theories of epistemology and ontology and claims that both how we know and what we know are acts of the imagination. |
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