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Books > Humanities > Philosophy > Topics in philosophy > Logic
"Euthydemus is Plato's defense of Socratic dialogue as a means to pursue truth. In Euthydemus, Plato has Socrates engage in a conversation with the title character and his brother Dionysodorus, both famous Sophists. They are representative of a type of argument, which Plato calls 'eristic', that emphasizes verbal trickery in order to humiliate your opponent and win your debate. This is contrasted with Socrates' dialectic, where words are a means of discerning reality, not gaining victory. In the process, Plato makes a case for the Socratic method as a means of educating youth, something he was attempting to do in his own newly-opened Academy. Presented in Plato's usual dramatic style, Euthydemus is simultaneously an engaging read and a passionate pedagogical manifesto.
This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam's work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic. The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam.
Stephen Schiffer presents a groundbreaking account of meaning and
belief, and shows how it can illuminate a range of crucial problems
regarding language, mind, knowledge, and ontology. He introduces
the new doctrine of 'pleonastic propositions' to explain what the
things we mean and believe
Plato uses a logic without defining or naming it, somewhat as verbs are used in daily life without saying "verbs" or defining them. Linguists may define them. Similarly, Plato's Logic identifies Plato's logic: Plato does not. He lives by it. The logic in question is used to track down first causes. These begin or end causal series of all four of Aristotle's types of cause. Thus for instance God in the Laws is the first mover in a chain of movers, so God is the first efficient cause. The Republic's Form of the Good, again, is the highest authority or order, and due to this it is the first formal cause. The Symposium's Form of Beauty is the first final cause, that is the ultimate reward. The Phaedo's psyche is a first material cause, being simple (and therefore immortal). This is not a logic in Aristotle's sense, but luckily that is not the only sense there is. Plato's logic is relational, not Aristotelian. This is because the causes are easiest to interpret as causal relations. Then the causal relations form series, and the series begin or end in Forms or Gods. In this book's formal vocabulary Plato's logic is always of the form aRbRc... zRz (if the terminus is a God) or aRbRc... zRR (if the terminus is a Form). All of Plato's writing is not quite like this, that is true. But his wildest and most characteristic writings are. He does admittedly write many other things as well. But the core of his philosophy consists of his hyperbolical claims about the Forms and Gods, and so they deserve to be in the limelight. The general idea of this book is that Plato's idealistic demands make sense in relational idioms. The idealism is not nonsensical or fallacious but rational. Speculation is a duty, not a joke or a sin. Numerous recent scholars are attacked because they belittle it.
This book offers an original philosophical perspective on exemplarity. Inspired by Wittgenstein's later work and Derrida's theory of deconstruction, it argues that examples are not static entities but rather oscillate between singular and universal moments. There is a broad consensus that exemplary cases mediate between singular instances and universal concepts or norms. In the first part of the book, Macha contends that there is a kind of differance between singular examples and general exemplars or paradigms. Every example is, in part, also an exemplar, and vice versa. Furthermore, he develops a paracomplete approach to the logic of exemplarity, which allows us to say of an exemplar of X neither that it is an X nor that it is not an X. This paradox is structurally isomorphic to Russell's paradox and can be addressed in similar ways. In the second part of the book, Macha presents four historical studies that exemplify the ideas developed in the first part. This part begins with Plato's Forms, understood as standards/paradigms, before considering Kant's theory of reflective judgment as a general epistemological account of exemplarity. This is then followed by analyses of Hegel's conceptual moment of particularity and Kuhn's concept of paradigm. The book concludes by discussing the speculative hypothesis that all our knowledge is based on paradigms, which, following the logic of exemplarity, are neither true nor false. The Philosophy of Exemplarity will be of interest to scholars and advanced students working in philosophy of language, logic, history of philosophy, and literary theory.
Wittgenstein et Spinoza construisent, l'un dans le Tractatus, l'autre dans l'A0/00thique, des systA]mes philosophiques rA(c)unissant le monde, l'homme et Dieu dans lesquels ils s'opposent sur de nombreux points. C'est ainsi par exemple que, suivant Spinoza, l'homme est assurA(c) que rien ne se produit sans cause alors que Wittgenstein rejette la possibilitA(c) de rapports d'ordre causal entre les A(c)vA(c)nements. Le prA(c)sent travail dissA]que dans une premiA]re partie l'A"uvre de Wittgenstein, il analyse dans une deuxiA]me partie la doctrine de Spinoza, et il compare enfin dans la troisiA]me partie les deux systA]mes dont il fait ressortir les points de concordance et de dissemblance dans leurs constructions respectives. Il traite les A"uvres philosophiques que sont le Tractatus et l'A0/00thique comme si elles relevaient de sciences telles que la mA(c)canique, l'astronomie, etc., et utilise des modA]les gA(c)omA(c)triques appropriA(c)s A leur interprA(c)tation. L'A(c)tude comparative du Tractatus et de l'A0/00thique, qui ne cessent d'exercer leur influence sur la pensA(c)e humaine, permet de conclure que le Tractatus, A"uvre du XXe siA]cle, renoue avec le rationalisme du XVIIe siA]cle exprimA(c) par Spinoza.
This volume presents a selection of papers reflecting key theoretical issues in argumentation theory. Its six sections are devoted to specific themes, including the analysis and evaluation of argumentation, argument schemes and the contextual embedding of argumentation. The section on general perspectives on argumentation discusses the trends of empiricalization, contextualization and formalization, offers descriptions of the analytical and evaluative tools of informal logic, and highlights selected principles that argumentation theorists do and do not agree upon. In turn, the section on linguistic approaches to argumentation focuses on the problem of distinguishing between explanation and argument, while also elaborating on the role of verbal indicators of argument schemes. All essays included in this volume point out notable recent developments in the study of argumentation.
This accessible book provides a practical discussion of the main elements of argumentation as illustrated by 30 public arguments from a recent year on a wide variety of social, cultural, and scientific topics. Arguing is an important form of communication in any society and a principal way in which ideas are exposed, discussed, and modified. The real-life examples examined in this book reflect the different considerations that go into composing arguments and the range of strategies that can be chosen as vehicles for our positions. They demonstrate the roles that emotion can play along with other modes of conveying evidence, from the use of images to the use of gestures. They show the power of threats, comparisons, and consequences. What emerges is an instructive discussion that illustrates the way we argue and that shows argument, invention, and evaluation in action. This book is a stimulating read for anyone interested in argument and public discourse and can be used as a supplemental text for courses in argumentation, persuasive communication, critical thinking, composition, and informal logic.
Representational systems such as language, mind and perhaps even the brain exhibit a structure that is often assumed to be compositional. That is, the semantic value of a complex representation is determined by the semantic value of their parts and the way they are put together. Dating back to the late 19th century, the principle of compositionality has regained wide attention recently. Since the principle has been dealt with very differently across disciplines, the aim of the two volumes is to bring together the diverging approaches. They assemble a collection of original papers that cover the topic of compositionality from virtually all perspectives of interest in the contemporary debate. The well-chosen international list of authors includes psychologists, neuroscientists, computer scientists, linguists, and philosophers.
The Routledge Companion to Pragmatism offers 44 cutting-edge chapters-written specifically for this volume by an international team of distinguished researchers-that assess the past, present, and future of pragmatism. Going beyond the exposition of canonical texts and figures, the collection presents pragmatism as a living philosophical idiom that continues to devise promising theses in contemporary debates. The chapters are organized into four major parts: Pragmatism's history and figures Pragmatism and plural traditions Pragmatism's reach Pragmatism's relevance Each chapter provides up-to-date research tools for philosophers, students, and others who wish to locate pragmatist options in their contemporary research fields. As a whole, the volume demonstrates that the vitality of pragmatism lies in its ability to build upon, and transcend, the ideas and arguments of its founders. When seen in its full diversity, pragmatism emerges as one of the most successful and influential philosophical movements in Western philosophy.
Russell's first book on philosophy and a fascinating insight into his early thinking A classic in the history and philosophy of mathematics and logic by one of the greatest philosophers of the 20th century This Routledge Classics edition includes a new foreword by Michael Potter, a renowned expert on analytic philosophy
Brilliant introduction to the philosophy of mathematics, from the question 'what is a number?' up to the concept of infinity, descriptions, classes and axioms Russell deploys all his skills and brilliant prose to write an introductory book - a real gem by one of the 20th century's most celebrated philosophers New foreword by Michael Potter to the Routledge Classics edition places the book in helpful context and explains why it's a classic
Colin Howson offers a solution to one of the central, unsolved problems of Western philosophy, the problem of induction. In the mid-eighteenth century David Hume argued that successful prediction tells us nothing about the truth or probable truth of the predicting theory. Howson claims that Hume's argument is correct, and examines what follows about the relation between science and its empirical base.
This book explores a large variety of topics involved in Arabic philosophy. It examines concepts and issues relating to logic and mathematics, as well as metaphysics, ethics and aesthetics. These topics are all studied by different Arabic philosophers and scientists from different periods ranging from the 9th century to the 20th century, and are representative of the Arabic tradition. This is the first book dealing with the Arabic thought and philosophy and written only by women. The book brings together the work and contributions of an international group of female scholars and researchers specialized in the history of Arabic logic, philosophy and mathematics. Although all authors are women, the book does not enter into any kind of feminist trend. It simply highlights the contributions of female scholars in order to make them available to the large community of researchers interested in Arabic philosophy and to bring to the fore the presence and representativeness of female scholars in the field.
In this innovative and groundbreaking work, the structure and evolution of scientific theories is examined in meticulous detail and rigorously analysed as never before. For the first time, scientific revolutions are presented as a natural consequence of the evolution of scientific theories and described with mathematical precision. Many new techniques are introduced and with the more precise understanding of the nature of the scientific enterprise obtained thereby, old philosophical problems are cast into a new light and shown to be susceptible to the same rigorous approach by which they may be completely solved. Numerous real examples from the sciences are given and discussed in detail, culminating in some startling results concerning the future development of science and that Holy Grail of physics, the possibility of a final, all-embracing Theory of Everything. Written in an eloquent and engaging style interspersed with occasional flashes of delicious humour, this book is destined to become a classic in the Philosophy of Science. It will doubtless be appreciated equally by philosophers and scientists alike as well as a wider, less specialised audience. Truly an important document and a major contribution to the literature; this is a work for the twenty-first century.
Russell is the most important philosopher of mathematics of the twentieth century. The author of "The Principles of Mathematics", and, with Alfred Whitehead, the massive "Principia Mathematica", he brought together his formidable knowledge of the subject and skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics. "Introduction to Mathematical Philosophy" sets out in a lucid and non-technical way the main ideas of "Principia Mathematica". It is as inspiring and useful to the beginner now as it was when it was first published in 1919.
The book analyses the concept of discoverability, and some current epistemological problems related to it, with a special attention to science. It shows that discoverability is closely related to the sustainability of human creativity in an "eco-cognitive" perspective. Advocating the need of an integral ecology and leveraging the important concept of abduction, it demonstrates that an ecology of human creativity should have priority over other needs, i.e that the first ecological duty is to protect and sustain discoverability. Enhancing discoverability will protect human creativity, and it is exactly human creativity, a form of innovative abductive cognition, that can promote the implementation of the other kinds of ecology. The author guides readers through a comprehensive discussion on the concept of discoverability, eco-cognitive situatedness, and eco-cognitive openness and closure alike. By describing some key real-world examples, he highlights the main challenges that are currently posed to human creativity and epistemic integrity. He also describes future eco-cognitive settings, discussing the problem of overcomputationalism and suggesting a reinterpretation of the role of human knowledge. Overall, this book fills an important gap in the literature on the nexus abduction - creativity - discovery, offering a source of inspiration to philosophers, epistemologists, and cognitive scientists. Yet, it also addresses researchers in other disciplines interested in the problems of scientific discovery and epistemic integrity of research.
Propositions are routinely invoked by philosophers, linguists, logicians, and other theorists engaged in the study of meaning, communication, and the mind. To investigate the nature of propositions is to investigate the very nature of our connection to each other, and to the world around us. As one of the only volumes of its kind, The Routledge Handbook of Propositions provides a comprehensive overview of the philosophy of propositions, from both historical and contemporary perspectives. Comprising 33 original chapters by an international team of scholars, the volume addresses both traditional and emerging questions concerning the nature of propositions, and our capacity to engage with them in thought and in communication. The chapters are clearly organized into the following three sections: I. Foundational Issues in the Theory of Propositions II. Historical Theories of Propositions III. Contemporary Theories of Propositions Essential reading for philosophers of language and mind, and for those working in neighboring areas, The Routledge Handbook of Propositions is suitable for upper-level undergraduate study, as well as graduate and professional research.
This collection will prove a valuable resource for our understanding of the historic Carnap and the living philosophical issues with which he grappled. It arose out of a symposium on Carnap's work (Vienna, 2001). With essays by Graham H. Bird, Jaakko Hintikka, Ilkka Niiniluoto, Jan Wolenski, this volume will interest graduate students of the philosophy of language and logic, as well as professional philosophers, historians of analytic philosophy, and philosophically inclined logicians.
In 1986, the emergence of a novel brain disease in British cattle presented a unique challenge to scientists. How that challenge was addressed has been the subject of a public inquiry and numerous academic studies conducted to date. However, none of these investigations has sought to examine the reasoning of scientists during this critical period in the public health of the UK. Using concepts and techniques in informal logic, argumentation and fallacy theory, this study reconstructs and evaluates the reasoning of scientists in the ten-year period between 1986 and 1996. Specifically, a form of presumptive reasoning is described in which extensive use is made of arguments traditionally identified as informal fallacies. In the context of the adverse epistemic conditions that confronted scientists during the BSE epidemic, these arguments were anything but fallacious, serving instead to confer a number of epistemic gains upon scientific inquiry. This book argues for a closer integration of philosophy with public health science, an integration that is exemplified by the case of scientific reasoning during the BSE affair. It will therefore be of interest to advanced students, academics, researchers and professionals in the areas of public health science and epidemiology, as well as philosophical disciplines such as informal logic, argumentation and fallacy theory and epistemology.
Gottlob Frege (1848-1925) is considered the father of modern logic and one of the founding figures of analytic philosophy. He was first and foremost a mathematician, but his major works also made important contributions to the philosophy of language. Frege's writings are difficult and deal with technical, abstract concepts. The Routledge Philosophy Guidebook to Frege On Sense and Reference helps the student to get to grips with Frege's thought, and introduces and assesses: the background of Frege's philosophical work Frege's main papers and arguments, focussing on his distinction between sense and reference the continuing importance of Frege's work to philosophy of logic and language. Ideal for those coming to Frege for the first time, and containing fresh insights for anyone interested in his philosophy, this Guidebook is essential reading for all students of philosophy of language, philosophical logic and the history of analytic philosophy.
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.
Superb insight into the development of Russell's thinking by the master himself Clearly and engaging written, charting his intellectual development from young idealist to celebrated sceptic This Routledge Classics edition includes a new foreword by Nicholas Griffin Ideal companion to Russell's own Autobiography, which is concerned with his incredibly colourful life rather than philosophy
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