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Books > Humanities > Philosophy > Topics in philosophy > Logic
The Collected Works of John Stuart Mill took thirty years to
complete and is acknowledged as the definitive edition of J.S. Mill
and as one of the finest works editions ever completed.
Originally published in 1984, this volume documents Bertrand Russell s travels in America covering the period 1945-1970. It is presented in two halves with the first a biographical account of Russell s involvement with the United States, with special reference to the seven visits he made there during this time period. Throughout this section the most representative of Russell s journalistic writings are highlighted and these are presented as full texts in the second half of the book. This collection is assembled to provide an understanding of Russell s deep and many-sided involvement with the United States during his life. A documented account, it is supplemented with important letters, photographs and newspaper articles.
One of the liveliest debates in contemporary philosophy concerns the notions of grounding and metaphysical explanation. Many consider these notions to be of prime importance for metaphysics and the philosophy of explanation, or even for philosophy in general, and lament that they had been neglected for far too long. Although the current debate about grounding is of recent origin, its central ideas have a long and rich history in Western philosophy, going back at least to the works of Plato and Aristotle. Bernard Bolzano's theory of grounding, developed in the first half of the nineteenth century, is a peak in the history of these ideas. On Bolzano's account, grounding lies at the heart of a broad conception of explanation encompassing both causal and non-causal cases. Not only does his theory exceed most earlier theories in scope, depth, and rigour, it also anticipates a range of ideas that take a prominent place in the contemporary debate. But despite the richness and modernity of his theory, it is known only by a comparatively small circle of philosophers predominantly consisting of Bolzano scholars. Bolzano's Philosophy of Grounding is meant to make Bolzano's ideas on grounding accessible to a broader audience. The book gathers translations of Bolzano's most important writings on these issues, including material that has hitherto not been available in English. Additionally, it contains a survey article on Bolzano's conception and nine research papers critically assessing elements of the theory and/or exploring its broad range of applications in Bolzano's philosophy and beyond.
This volume brings together a selection of Solomon Feferman's most important recent writings, covering the relation between logic and mathematics, proof theory, objectivity and intensionality in mathematics, and key issues in the work of Gödel, Hilbert, and Turing.
This book offers new critical perspectives on the relationship between the notions of speculation, logic and reality in Hegel's thought as basis for his philosophical account of nature, history, spirit and human experience. The systematic functions of logic and pure thought are explored in their concrete forms and processual progression from subjective spirit to philosophy of right, society, the notion of habit, the idea of work, art, religion and science. Engaging the relation between the Logic and its realisations, this book shows the internal tension that inhabits Hegel's philosophy at the intersection of logical (conceptual) speculation and concrete (interpretative) analysis. The investigation of this tension allows for a hermeneutical approach that demystifies the common view of Hegel's idealism as a form of abstract thought, while allowing for a new assessment of the importance of speculation for a concrete understanding of the world.
When future generations come to analyze and survey twentieth-century philosophy as a whole, Bertrand Russell's logic and theory of knowledge is assured a place of prime importance. Yet until this book was first published in 1969 no comprehensive treatment of his epistemology had appeared. Commentators on twentieth-century philosophy at the time assumed that Russell's important contributions to the theory of knowledge were made before 1921. This book challenges that assumption and draws attention to features of Russell's later work which were overlooked. The analysis starts with Russell's earliest views and moves from book to book and article to article through his enormous span of writing on the problems and theory of knowledge. The changes in ideas as he developed the theory are traced, and the study culminates in a statement of his latest views. His work is seen in a continuity in which the changes were part of the development of his mature thought, and the total evaluation and interpretation clarify many of the common misunderstandings of his philosophy. This is naturally of interest to all philosophers, and for students this is the answer to inevitable questions on the nature of Russell's ideas and their evolution.
Although scholars from many disciplines have turned their attention to Russell's work and appraised its significance for a number of fields, and an extensive literature on him emerged, until this book, first published in 1963, no thorough study on Russell's contribution to education - an area to which he devoted no small part of his energies - had yet appeared. The book is based on interviews with Russell as well as diligent research in his writings and the sources of his thought and will enlighten all who think seriously about education. It addresses specifically the usefulness of Russell's thought for American educators, which was challenging as Russell dared to question traditional ends and means of education at the time.
"This is as good an introduction to propositional logic as there is. The book also brings out in a clear and engaging way the philosophical applications of logic." - Paul Snowdon, University College London "An excellent introduction to logic for all philosophy students. If you want to learn how logic works, why it is important, and how there are many live philosophical issues raised by all of this, Garrett's book is an excellent place to start." - Greg Restall, University of Melbourne Elementary Logic explains what logic is, how it is done, and why it can be exciting. The book covers the central part of logic that all students have to learn: propositional logic. It aims to provide a crystal-clear introduction to what is often regarded as the most technically difficult area in philosophy. The book opens with an explanation of what logic is and how it is constructed. Subsequent chapters take the reader step-by-step through all aspects of elementary logic. Throughout, ideas are explained simply and directly, with the chapters packed with overviews, illustrative examples, and summaries. Each chapter builds on previous explanation and example, with the final chapters presenting more advanced methods. After a discussion of meta-logic and logical systems, the book closes with an exploration of how paradoxes can exist in the world of logic. Elementary Logic's clarity and engagement make it ideal for any reader studying logic for the first time.
"This is as good an introduction to propositional logic as there is. The book also brings out in a clear and engaging way the philosophical applications of logic." - Paul Snowdon, University College London "An excellent introduction to logic for all philosophy students. If you want to learn how logic works, why it is important, and how there are many live philosophical issues raised by all of this, Garrett's book is an excellent place to start." - Greg Restall, University of Melbourne Elementary Logic explains what logic is, how it is done, and why it can be exciting. The book covers the central part of logic that all students have to learn: propositional logic. It aims to provide a crystal-clear introduction to what is often regarded as the most technically difficult area in philosophy. The book opens with an explanation of what logic is and how it is constructed. Subsequent chapters take the reader step-by-step through all aspects of elementary logic. Throughout, ideas are explained simply and directly, with the chapters packed with overviews, illustrative examples, and summaries. Each chapter builds on previous explanation and example, with the final chapters presenting more advanced methods. After a discussion of meta-logic and logical systems, the book closes with an exploration of how paradoxes can exist in the world of logic. Elementary Logic's clarity and engagement make it ideal for any reader studying logic for the first time.
How does Russell's realist conception of the proposition and its
constituents inform the techniques for analysis which he adopted in
mathematics? Jolen Galaugher's book sheds light on this perplexing
issue. In this book, Galaugher provides a detailed treatment of
Russell's early conception of analysis in the light of the
philosophical doctrines to which it answered, and the demands
imposed by existing mathematics on his early logicist program. She
ties together the philosophical commitments which occasioned
Russell's break with idealism and the problems which guided his
selection of technical apparatus in his embrace of logicism. The
result is a detailed synthesis of the primary materials from the
emergence of Russell's realism in 1898 to his landmark theory of
descriptions in 1905. Galaugher's broad thesis is that although
Russell adopted increasingly refined techniques by which to carry
out his logical analyses and avoid the Contradiction, the most
crucial aspects of his philosophical conception of logical analysis
were retained.
This book was written to serve as an introduction to logic, with in each chapter - if applicable - special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Goedel's Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sergio Argolo
The two volumes in this advanced textbook present results, proof methods, and translations of motivational and philosophical considerations to formal constructions. In this Vol. I the author explains preferential structures and abstract size. In the associated Vol. II he presents chapters on theory revision and sums, defeasible inheritance theory, interpolation, neighbourhood semantics and deontic logic, abstract independence, and various aspects of nonmonotonic and other logics. In both volumes the text contains many exercises and some solutions, and the author limits the discussion of motivation and general context throughout, offering this only when it aids understanding of the formal material, in particular to illustrate the path from intuition to formalisation. Together these books are a suitable compendium for graduate students and researchers in the area of computer science and mathematical logic.
From academic writing to personal and public discourse, the need for good arguments and better ways of arguing is greater than ever before. This timely fifth edition of A Rulebook for Arguments sharpens an already-classic text, adding updated examples and a new chapter on public debates that provides rules for the etiquette and ethics of sound public dialogue as well as clear and sound thinking in general.
Your complete introduction to logic When you see black clouds looming and predict it's going to rain, you're using logic. When you decide that all swans are white because all the swans you've seen are white, that's logic too (even though the conclusion is false). As humans we want to understand how things are connected and why, so that we can derive things we don''t know yet from what we do. Logic studies the methods and principles to distinguish good and bad reasoning. This book introduces three basic logical systems: categorical logic, propositional logic and predicate logic. It identifies in each system essential methods to test arguments, and there are illustrations and exercises to enhance your mastery of these skills. By the time you finish you will understand what logicians were thinking when they designed logical systems and start to think like them. Whether you are preparing for an essay, studying for an exam or simply want to expand ypour knowledge, Logic: A Complete Introduction is your go-to guide.
This reissue, first published in 1971, provides a brief historical account of the Theory of Logical Types; and describes the problems that gave rise to it, its various different formulations (Simple and Ramified), the difficulties connected with each, and the criticisms that have been directed against it. Professor Copi seeks to make the subject accessible to the non-specialist and yet provide a sufficiently rigorous exposition for the serious student to see exactly what the theory is and how it works.
This book is designed for students to use independently to enhance their critical thinking skills. It contains advice and examples of students' writing to illustrate poor performance and demonstrate how to produce effective critical discourse. As university study requires students to demonstrate critical insight, this book shows how to develop this skill by breaking down the thinking and writing processes into steps. It also points out that critical thinking is valued in post-university employment and discusses how to prepare for professional writing.
First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
The two volumes in this advanced textbook present results, proof methods, and translations of motivational and philosophical considerations to formal constructions. In the associated Vol. I the author explains preferential structures and abstract size. In this Vol. II he presents chapters on theory revision and sums, defeasible inheritance theory, interpolation, neighbourhood semantics and deontic logic, abstract independence, and various aspects of nonmonotonic and other logics. In both volumes the text contains many exercises and some solutions, and the author limits the discussion of motivation and general context throughout, offering this only when it aids understanding of the formal material, in particular to illustrate the path from intuition to formalisation. Together these books are a suitable compendium for graduate students and researchers in the area of computer science and mathematical logic.
First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
First published in 2000. This is Volume V of eight in the Library of Philosophy series on the Philosophy of Mind and Language. Written in 1957, this book enquires how we use language as an instrument of reason, and whether our present use of it is efficient. The use of language for communication is treated as subsidiary.
When many people are involved in an activity, it is often difficult, if not impossible, to pinpoint who is morally responsible for what, a phenomenon known as the 'problem of many hands.' This term is increasingly used to describe problems with attributing individual responsibility in collective settings in such diverse areas as public administration, corporate management, law and regulation, technological development and innovation, healthcare, and finance. This volume provides an in-depth philosophical analysis of this problem, examining the notion of moral responsibility and distinguishing between different normative meanings of responsibility, both backward-looking (accountability, blameworthiness, and liability) and forward-looking (obligation, virtue). Drawing on the relevant philosophical literature, the authors develop a coherent conceptualization of the problem of many hands, taking into account the relationship, and possible tension, between individual and collective responsibility. This systematic inquiry into the problem of many hands pertains to discussions about moral responsibility in a variety of applied settings.
Conditionals has at its centre an extended essay on this problematic and much-debated subject in the philosophy of language and logic, which the widely respected Oxford philosopher Michael Woods had been preparing for publication at the time of his death in 1993. It appears here edited by his eminent colleague David Wiggins, and accompanied by a commentary specially written by a leading expert on the topic, Dorothy Edgington. This masterly and original treatment of conditionals will demand the attention of all philosophers working in this area. |
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