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Books > Philosophy > Topics in philosophy > Logic
The formal systems of logic have ordinarily been regarded as independent of biology, but recent developments in evolutionary theory suggest that biology and logic may be intimately interrelated. In this book, William S. Cooper outlines a theory of rationality in which logical law emerges as an intrinsic aspect of evolutionary biology. He examines the connections between logic and evolutionary biology and illustrates how logical rules are derived directly from evolutionary principles, and therefore, have no independent status of their own. This biological perspective on logic, though at present unorthodox, could change traditional ideas about the reasoning process.
This monograph proposes a new way of implementing interaction in logic. It also provides an elementary introduction to Constructive Type Theory (CTT). The authors equally emphasize basic ideas and finer technical details. In addition, many worked out exercises and examples will help readers to better understand the concepts under discussion. One of the chief ideas animating this study is that the dialogical understanding of definitional equality and its execution provide both a simple and a direct way of implementing the CTT approach within a game-theoretical conception of meaning. In addition, the importance of the play level over the strategy level is stressed, binding together the matter of execution with that of equality and the finitary perspective on games constituting meaning. According to this perspective the emergence of concepts are not only games of giving and asking for reasons (games involving Why-questions), they are also games that include moves establishing how it is that the reasons brought forward accomplish their explicative task. Thus, immanent reasoning games are dialogical games of Why and How.
A classic of how to think clearly and critically and ahead of its time in anticipating the threats to democracy by poor argument and shoddy reasoning Engaging, clear and witty, it is a brilliant example of how philosophy can connect with the concerns with everyone and requires no knowledge of the subject Susan Stebbing was the first woman in the UK to be appointed a professor of philosophy, in 1933 A new foreword by Nigel Warburton and introduction by Peter West help to set Stebbing book in helpful context
Between the two world wars, Stanislaw Lesniewski (1886-1939), created the famous and important system of foundations of mathematics that comprises three deductive theories: Protothetic, Ontology, and Mereology. His research started in 1914 with studies on the general theory of sets (later named `Mereology'). Ontology followed between 1919 and 1921, and was the next step towards an integrated system. In order to combine these two systematically he constructed Protothetic - the system of `first principles'. Together they amount to what Z. Jordan called `... most thorough, original, and philosophically significant attempt to provide a logically secure foundation for the whole of mathematics'. The volume collects many of the most significant commentaries on, and contributions to, Protothetic. A Protothetic Bibliography is included.
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.
This reissue of the modern classic on the study of argumentation features a new Introduction by the author.
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 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.
ADVANGEBOOKS - UNDERSTANDING ARGUMENTS: AN INTRODUCTION TO INFORMAL LOGIC, 9E shows readers how to construct arguments in everyday life, using everyday language. In addition, this easy-to-read textbook also devotes three chapters to the formal aspects of logic including forms of argument, as well as propositional, categorical, and quantificational logic. Plus, this edition helps readers apply informal logic to legal, moral, scientific, religious, and philosophical scenarios, too.
This volume responds to and reassesses the work of Hector-Neri Castaneda (1924-1991). The essays collected here, written by his students, followers, and opponents, examine Castaneda s seminal views on deontic logic, metaethics, indedicality, praticitions, fictions, and metaphysics, utilizing the critical viewpoint afforded by time, as well as new data, to offer insights on his theories and methodology."
This edited volume brings together 18 state-of-the art essays on pluralism about truth and logic. Parts I and II are dedicated to respectively truth pluralism and logical pluralism, and Part III to their interconnections. Some contributors challenge pluralism, arguing that the nature of truth or logic is uniform. The majority of contributors, however, defend pluralism, articulate novel versions of the view, or contribute to fundamental debates internal to the pluralist camp. The volume will be of interest to truth theorists and philosophers of logic, as well as philosophers interested in relativism, contextualism, metaphysics, philosophy of language, semantics, paradox, epistemology, or normativity.
This volume discusses two distinct perspectives on the analysis of argumentative discourse: the dialectical and the rhetorical perspective. It intends to open a thorough discussion of the two approaches, their commonalities and differences, and the ways in which, in some combination or other, they can be used to further the development of sound analytic tools for dealing with argumentation.
This volume brings together a group of philosophically oriented logicians and logic-minded philosophers, mainly from Asia, to address a variety of logical and philosophical topics, such as modal logic and related directions (e.g. temporal logic, epistemic logic, deontic logic, logic of conditionals, and modal proof theory), theory of truth, paradoxes, intentionality, and social networks. New approaches are also proposed, such as extended modal logic with planarity of graphs, extended branching time temporal logic with conditional operators, and a relational treatment of language and logical systems, to name but a few.Given the variety of topics and issues discussed here, the book will appeal to readers from a broad range of disciplines, from mathematical/philosophical logic, computing science, cognitive science and artificial intelligence, to linguistics, game theory and beyond.
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.
Aristotle's Modal Logic, first published in 1995, presents an interpretation of Aristotle's logic by arguing that a proper understanding of the system depends on an appreciation of its connection to the metaphysics. Richard Patterson develops three striking theses in the book. First, there is a fundamental connection between Aristotle's logic of possibility and necessity, and his metaphysics, and that this connection extends far beyond the widely recognised tie to scientific demonstration and relates to the more basic distinction between the essential and accidental properties of a subject. Second, Aristotle's views on modal logic depend in very significant ways on his metaphysics without entailing any sacrifice in rigour. Third, once one has grasped the nature of the relationship, one can understand better certain genuine difficulties in the system of logic and appreciate its strengths in terms of the purposes for which it was created.
This collection of classic and contemporary essays in philosophy of language offers a concise introduction to the field for students in graduate and upper-division undergraduate courses. It contains some of the most important basic sources in philosophy of language, including a number of classic essays by philosophers such as Frege, Russell, Wittgenstein, Kripke, Grice, Davidson, Strawson, Austin, and Putnam, as well as more recent contributions by scholars including John McDowell, Stephen Neale, Ruth Millikan, Stephen Schiffer, Paul Horwich, and Anthony Brueckner, among others, who are on the leading edge of innovation in this increasingly influential area of philosophy. The result is a lively mix of readings, together with the editors' discussions of the material, which provides a rigorous introduction to the subject.
This collection brings together exciting new works that address today's key challenges for a feminist power-sensitive approach to knowledge and scientific practice. Taking up such issues as the role of contextualism in epistemology, democracy and dissent in knowledge practices, and epistemic agency under conditions of oppression, the essays build upon well-established work in feminist epistemology and philosophy of science such as standpoint theory and contextual empiricism, offering new interpretations and applications. Many contributions capture the current engagement of feminist epistemologists with the insights and programs of nonfeminist epistemologists, while others focus on the intersections between feminist epistemology and other fields of feminist inquiry such as feminist ethics and metaphysics. *see remarks below for remainder of text*
A Wittgensteinian Way with Paradoxes examines how some of the classic philosophical paradoxes that have so puzzled philosophers over the centuries can be dissolved. Read argues that paradoxes such as the Sorites, Russell's Paradox and the paradoxes of time travel do not, in fact, need to be solved. Rather, using a resolute Wittgensteinian 'therapeutic' method, the book explores how virtually all apparent philosophical paradoxes can be diagnosed and dissolved through examining their conditions of arising; to loosen their grip and therapeutically liberate those philosophers suffering from them (including oneself). The book contrasts such paradoxes with real, 'lived paradoxes': paradoxes that are genuinely experienced outside of the philosopher's study, in everyday life. Thus Read explores instances of lived paradox (such as paradoxes of self-hatred and of denial of other humans' humanity) and the harm they can cause, psychically, morally or politically. These lived paradoxes, he argues, sometimes cannot be dissolved using a Wittgensteinian treatment. Moreover, in some cases they do not need to be: for some, such as the paradoxical practices of Zen Buddhism (and indeed of Wittgenstein himself), can in fact be beneficial. The book shows how, once philosophers' paradoxes have been exorcized, real lived paradoxes can be given their due.
The central problem of philosophy is the problem of certainty. What does it mean to be sure? Are there ideas beyond the possibility of error or refutation? What does it mean for a notion to be incorrigible? In this book, Frank D. Schubert squarely addresses the question of whether there is a single standard of certainty that can be applied to such disparate areas as logic, mathematics, politics, religion, familial/tribal commitments, and science. Schubert proposes a common standard for assessing certainty - the certainty of knowing one's own personal proper name - as a standard that can establish common ground within each widely disparate area. The result is a new "philosophy in a grand manner" and a powerful ethical proposal for our time.
Bertrand Russell was a central figure in the rise of analytic
philosophy, and there are few works in the genre whose influence is
comparable to The Principles of Mathematics (1903), a book that
established him as a major force in British philosophy. Logic as
Universal Science takes a fresh look at the context of The
Principles. This, it is argued, involves an extended argument
against Kant's transcendental idealism and his conception of
mathematics as a synthetic a priori science grounded in pure
intuition. Philosophically, Russell's logicism substitutes pure
logic for pure intuitions as the true source of mathematical
knowledge. In this way, logic turns out to be a universal science
and very far from Kant's general logic, which is a concise and dry
science, delivering nothing but a purely formal criterion for
knowledge. The picture of logic emerging from this opposition is
investigated in detail for its content and consequences.
This contribution to Palgrave's 'Advances' series addresses a wide range of issues that have arisen in post-Gricean pragmatic theory, in chapters by distinguished authors. Among the specific topics covered are scalar implicatures, lexical semantics and pragmatics, indexicality, procedural meaning, the semantics and pragmatics of negation. The volume includes both defences and critiques of Relevance Theory and of Neo-Gricean Pragmatics.
This volume advances discussion between critics and defenders of the force-content distinction and opens up new ways of thinking about force and speech acts in relation to the unity problem. The force-content dichotomy has shaped the philosophy of language and mind since the time of Frege and Russell. Isn't it obvious that, for example, the clauses of a conditional are not asserted and must therefore be propositions and propositions the forceless contents of forceful acts? But, others have recently asked in response, how can a proposition be a truth value bearer if it is not unified through the forceful act of a subject that takes a position regarding how things are? Can we not instead think of propositions as being inherently forceful, but of force as being cancelled in certain contexts? And what do assertoric, but also directive and interrogative force indicators mean? Force, Content and the Unity of the Proposition will be of interest to researchers working in philosophy of language, philosophical logic, philosophy of mind and linguistics.
This book is the first detailed and focused defense of necessitarianism. The author's original account of necessitarianism encourages a reexamination of commonly held metaphysical positions as well as important issues in other, related areas of philosophy. Necessitarianism is the view that absolutely nothing about the world could have been otherwise in any way, whatsoever. Most philosophers believe that necessitarianism is just plain false and presume that some things could have been otherwise than what they are. In this book, the author argues that necessitarianism is true and the view that some things in the world are contingent-what the author terms contingentarianism-is false. The author assesses various theories of contingency, including the possible worlds theory, combinatorialism, and dispositionalism, and argues that no theory can successfully explain why an entity is such as it is rather than not. She then lays out a case for necessitarianism and provides responses to various objections. The book concludes with an explanation of the ways in which necessitarianism is relevant to issues in ethics, philosophy of mind, and social philosophy. A Case for Necessitarianism will be of interest to scholars and advanced students working in metaphysics, logic, and philosophy of science.
First published in 1993. Why do mirrors reverse left and right but not up and down? Does time flow at an even rate These are just two of the questions that won't be answered in Pseudo-Problems. This book explains how problems are dissolved rather than solved. Roy Sorenson takes the most important and interesting examples from one hundred years of analytic philosophy (and the odd one from the centuries before) to consolidate a new theory of dissolution. Pseudo-Problems is a fast-moving, fascinating alternative history of twentieth-century analytic philosophy, and a fine example of what philosophical analysis should be. Not least, it is an important contribution to the debates about creativity and problem solving.
Providing a clear interpretation of Hegel's characterizations of possibility and actuality in the Science of Logic, this book departs from the standard understandings of these concepts to break new ground in Hegelian scholarship. The book draws out some of the implications of Hegel's view of immanent possibility, especially as it relates to Leibniz's thesis of modal optimism: his view that this world is the best of all possible worlds. Reading Hegel as a philosopher of possibility, against a tradition that has conceived of him primarily as a philosopher of necessity, rationality, and finitude, Nahum Brown demonstrates the historical background and philosophical traditions from which Hegel's concept of possibility emerges. Systematically outlining Hegel's conceptions of positive and negative freedom, Brown reveals the Hegelian underpinnings of our conception of reality and what it is to be in the world itself. Original and convincing, this book is crucial for philosophers approaching modality from any tradition. |
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