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Books > Philosophy > Topics in philosophy > Logic
Most of the major schools of contemporary philosophy, from Marxism to Existentialism, are reactions to Hegelianism and all, if they are to be understood, require some understanding of Hegel's "Logic". From its first appearance in 1812, this work has been recognised by both admirers and detractors alike as being the absolute foundation of Hegel's system.
In the twenty-first century, humanity is reaching new heights of scientific understanding - and at the same time appears to be losing its mind. How can a species that discovered vaccines for Covid-19 in less than a year produce so much fake news, quack cures and conspiracy theorizing? In Rationality, Pinker rejects the cynical cliché that humans are simply an irrational species - cavemen out of time fatally cursed with biases, fallacies and illusions. After all, we discovered the laws of nature, lengthened and enriched our lives and set the benchmarks for rationality itself. Instead, he explains, we think in ways that suit the low-tech contexts in which we spend most of our lives, but fail to take advantage of the powerful tools of reasoning we have built up over millennia: logic, critical thinking, probability, causal inference, and decision-making under uncertainty. These tools are not a standard part of our educational curricula, and have never been presented clearly and entertainingly in a single book - until now. Rationality matters. It leads to better choices in our lives and in the public sphere, and is the ultimate driver of social justice and moral progress. Brimming with insight and humour, Rationality will enlighten, inspire and empower.
Kierkegaard's Concepts is a comprehensive, multi-volume survey of the key concepts and categories that inform Kierkegaard's writings. Each article is a substantial, original piece of scholarship, which discusses the etymology and lexical meaning of the relevant Danish term, traces the development of the concept over the course of the authorship, and explains how it functions in the wider context of Kierkegaard's thought. Concepts have been selected on the basis of their importance for Kierkegaard's contributions to philosophy, theology, the social sciences, literature and aesthetics, thereby making this volume an ideal reference work for students and scholars in a wide range of disciplines.
Kierkegaard's Concepts is a comprehensive, multi-volume survey of the key concepts and categories that inform Kierkegaard's writings. Each article is a substantial, original piece of scholarship, which discusses the etymology and lexical meaning of the relevant Danish term, traces the development of the concept over the course of the authorship, and explains how it functions in the wider context of Kierkegaard's thought. Concepts have been selected on the basis of their importance for Kierkegaard's contributions to philosophy, theology, the social sciences, literature and aesthetics, thereby making this volume an ideal reference work for students and scholars in a wide range of disciplines.
This vivid and thought-provoking book by the Israeli logician Nimrod Bar-Am impels one to rethink the place of logic in Western thought. It shows that the history of logic from Aristotle to Tarski is the history of the gradual undoing of the classic conflation of logic and empirical science. It sets tomorrowa (TM)s agenda for philosophers and historians of logic and scientific method by taking as its starting point the mere fact that, curiously, ancient logic is not as formal as current literature presents it. Rather, as Bar-Am explains, modern formal logic became possible only after a series of bold criticisms of the magnificent Aristotelian system. These criticisms begin with David Humea (TM)s declaration that logic does not sanction induction, follow on with Kanta (TM)s view of logic as an extremely limited system, and culminating with Boolesa (TM) introduction of logic as an extensional system, and Russella (TM)s solution to his own paradox. The book offers a breathtaking intellectual odyssey; presenting the development of logic as an evolving critical assessment of approaches to an impossible ideal. Bar-Am handles an extremely complex subject matter in a manner that is both accessible to the general educated reader and challenging to the learned expert, by opening to them live background ideas to dead formulas. The book will easily find its place alongside both general introductions to the history of science and advanced reading lists in the philosophy of logic.
If there is such a thing as reason, it has to be universal. Reason must reflect objective principles whose validity is independent of our point of view - principles that anyone with enough intelligence ought to be able to recognize as correct. But this universality of reason is what relativists and subjectivists deny in ever-increasing numbers. And such subjectivism is not just an inconsequential intellectual flourish or badge of theoretical chic. It is exploited to deflect argument and to belittle the pretensions of the arguments of others. The continuing spread of this relativistic way of thinking threatens to make public discourse increasingly difficult and unproductive. In The Last Word, Thomas Nagel, one of the most influential philosophers writing in English, presents a sustained defense of reason against the attacks of subjectivism, delivering systematic rebuttals of relativistic claims with respect to language, logic, science, and ethics. He shows that the last word in disputes about the objective validity of any form of thought must lie in some unqualified thoughts about how things are - thoughts that we cannot regard from outside as mere psychological dispositions. His work sets a new standard in the debate on this crucially important question and should generate intense interest both within and outside the philosophical community.
John Stuart Mill considered his A System of Logic, first published in 1843, the methodological foundation and intellectual groundwork of his later works in ethical, social, and political theory. Yet no book has attempted in the past to engage with the most important aspects of Mill's Logic. This volume brings together leading scholars to elucidate the key themes of this influential work, looking at such topics as his philosophy of language and mathematics, his view on logic, induction and deduction, free will, argumentation, ethology and psychology, as well as his account of normativity, kinds of pleasure, philosophical and political method and the "Art of Life."
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 book presents the results of these thinkers in a newly unified manner and displays their significance for the philosophy of mathematics.
Epistemic Logic studies statements containing verbs such as 'know' and 'wish'. It is one of the most exciting areas in medieval philosophy. Neglected almost entirely after the end of the Middle Ages, it has been rediscovered by philosophers of the present century. This is the first comprehensive study of the subject. Ivan Boh explores the rules for entailment between epistemic statements, the search for the conditions of knowing contingent propositions, the problems of substitutivity in intentional contexts, the relationship between epistemic and modal logic, and the problems of composite and divided senses in authors ranging from Abelard to Frachantian.
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.
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.
Originally published in 1973, this volume documents Bertrand Russell s travels in America covering the period 1896-1945. 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.
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.
The 14th Edition of Introduction to Logic, written by Copi, Cohen & McMahon, is dedicated to the many thousands of students and their teachers - at hundreds of universities in the United States and around the world - who have used its fundamental methods and techniques of correct reasoning in their everyday lives. To those who have not previously used or reviewed Introduction to Logic we extend the very warmest welcome. Please join us and our international family of users Let us help you teach students the methods and principles needed in order to distinguish correct from incorrect reasoning. For, Introduction to Logic is a proven textbook that has been honed through the collaborative efforts of many scholars over the last five decades. Its scrupulous attention to detail and precision in exposition and explanation is matched by the greatest accuracy in all associated detail.
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.
If the phrase "the philosophy of difference" defines French anti-Hegelianism, then we have to say that there would be no philosophy of difference without Logic and Existence. Derrida's notion of differance, Deleuze's logic of sense, and Foucault's reconception of history all stem from this book. This first English translation of the virtually unknown Logic and Existence is essential for the understanding of the development of French thought in this century. Logic and Existence, which originally appeared in 1952, completes the project Hyppolite began with Genesis and Structure of Hegel's Phenomenology of Spirit. Taking up successively the role of language, reflection, and categories in Hegel's Science of Logic, Hyppolite illuminates Hegelianism's most obscure dialectical synthesis: the relation between the phenomenology and the logic. His interpretation of the relation between the phenomenology and the logic has the result of marking a rupture in French thought. Not only does Logic and Existence effectively end the humanistic reading of Hegel popularized by Kojeve in France before World War II, but also it initiates the great anti-Hegelianism of French philosophy in the sixties. Hyppolite's work displays the originality of Hegel's thought in a new way, and sets up the means by which to escape from it.
This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning. This is both a continuation, and a substantial modification, of an inferentialist approach to logic. As such, the book not only provides a critical introduction to the inferentialist view, but it also provides an argument that this shift in perspective has deep and foundational consequences for how we understand the nature of logic and its relationship with meaning and reasoning. This has been upheld by several technical results, including, for example a novel approach to logical paradox and logical revision, and an account of the internal justification of logical rules. The book shows that inferentialism is greatly strengthened, such that it can answer the most stringent criticisms of the view. This leads to a view of logic that emphasizes the dynamics of reasoning, provides a novel account of the justification and normativity of logical rules, thus leading to a new, attractive approach to the foundations of logic. The book addresses readers interested in philosophy of language, philosophical and mathematical logic, theories of reasoning, and also those who actively engage in current debates involving, for example, logical revision, and the relationship between logic and reasoning, from advanced undergraduates, to professional philosophers, mathematicians, and linguists.
This clear, accessible account of Hegelian logic makes a case for its enormous seductiveness, its surprising presence in the collective consciousness, and the dangers associated therewith. Offering comprehensive coverage of Hegel's important works, Bencivenga avoids getting bogged down in short-lived scholarly debates to provide a work of permanent significance and usefulness.
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
In this book, Jennifer Moon explores and clarifies critical thinking and provides practical guidance for improving student learning and supporting the teaching process. Key themes covered include:
Teachers in all disciplines in post-compulsory education will find this approach to defining and improving students critical thinking skills invaluable.
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.
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.
"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. |
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