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Books > Humanities > Philosophy > Topics in philosophy > Logic
This book is presented by two authors who worked in close cooperation. The first part is written by Ewa Binczyk and discusses various postulates that have been formulated in response to the problem of the unwanted side-effects of the practical success of technoscience which derive from two theoretical perspectives: the study of risk and science and technology studies (STS), inspired by actor-network theory (ANT). In the second part of the book Tomasz Stepien analyses and characterizes the nano-domain as an example of the development of techno-sciences. Generally, in the case of nanotechnology this book calibrates reciprocally to each other the indeed familiar but also slightly different theoretical approaches established in the philosophy of science and technology.
In Vagueness and Degrees of Truth, Nicholas Smith develops a new theory of vagueness: fuzzy plurivaluationism. A predicate is said to be vague if there is no sharply defined boundary between the things to which it applies and the things to which it does not apply. For example, 'heavy' is vague in a way that 'weighs over 20 kilograms' is not. A great many predicates - both in everyday talk, and in a wide array of theoretical vocabularies, from law to psychology to engineering - are vague. Smith argues, on the basis of a detailed account of the defining features of vagueness, that an accurate theory of vagueness must involve the idea that truth comes in degrees. The core idea of degrees of truth is that while some sentences are true and some are false, others possess intermediate truth values: they are truer than the false sentences, but not as true as the true ones. Degree-theoretic treatments of vagueness have been proposed in the past, but all have encountered significant objections. In light of these, Smith develops a new type of degree theory. Its innovations include a definition of logical consequence that allows the derivation of a classical consequence relation from the degree-theoretic semantics, a unified account of degrees of truth and subjective probabilities, and the incorporation of semantic indeterminacy - the view that vague statements need not have unique meanings - into the degree-theoretic framework. As well as being essential reading for those working on vagueness, Smith's book provides an excellent entry-point for newcomers to the era - both from elsewhere in philosophy, and from computer science, logic and engineering. It contains a thorough introduction to existing theories of vagueness and to the requisite logical background.
This open access book makes a case for extending logic beyond its traditional boundaries, to encompass not only statements but also also questions. The motivations for this extension are examined in detail. It is shown that important notions, including logical answerhood and dependency, emerge as facets of the fundamental notion of entailment once logic is extended to questions, and can therefore be treated with the logician's toolkit, including model-theoretic constructions and proof systems. After motivating the enterprise, the book describes how classical propositional and predicate logic can be made inquisitive-i.e., extended conservatively with questions-and what the resulting logics look like in terms of meta-theoretic properties and proof systems. Finally, the book discusses the tight connections between inquisitive logic and dependence logic.
You've Got to Be Kidding!: How Jokes Can Help You Think is a thoughtful and accessible analysis of the ways in which jokes illustrate how we think critically, and how the thinking process goes awry in everyday human situations Uses jokes to illustrate the various mistakes or fallacies that are typically identified and discussed in courses on critical reasoning Provides an effective way to learn critical thinking skills since jokes often describe real-life situations where it really matters whether a person thinks well or not Demonstrates how philosophy is actually very practical and clearly related to real- life human experiences Explains how developing good reasoning habits can make a real difference in all aspects of one's life
This book is a comprehensive survey of methodological individualism in social, political and economic thought from the Enlightenment to the 20th century. Exploring the works of such figures as de Mandeville, Smith, Marx, Spencer, Durkheim, Simmel, Weber, Hayek, Popper and Parsons, this study underlines the contrasts between methodological collectivism and methodological individualism. The detailed analysis offered here also reveals the theoretical presuppositions behind the collectivist and individualist traditions and the practical consequences of their applications. Infantino concludes in favour of individualism.
Language as reason represents the unifying theme of this multifaceted reflection on Eddo Rigotti's scientific contribution offered by his students and colleagues on the occasion of his seventieth birthday. Spanning argumentation theory, linguistics, psychology, semiotics and communication sciences, the volume reflects Rigotti's generous personality and his trajectory of semiotician, philosopher, linguist and specialist in argumentation studies. Language as an instrument of communication with semiotic peculiarities is considered at different levels in which it manifests traces of reason at work. This means considering how reality reveals itself by means of language and how the semiotic character of language structures is used by people to enable joint actions and change the natural and social world. Particularly in focus is the realm of argumentation, that is of those joint actions where people exchange reasons in various communities, fora and markets in view of understanding and practical deliberation. To argumentation Eddo Rigotti devoted all his research efforts in recent years, with a keen sense of its intrinsic educational value and a sincere care for fostering the development of the argumentative mind.
This work outlines and systematically defends a mathematically and logically sophisticated understanding of the concept of the 'many', a concept which has been at the centre of many debates for over a century.
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."
This book revisits the definition of polemical discourse and deals with its functions in the democratic sphere. It first examines theoretical questions concerning the management of disagreement in democracy and the nature of polemical discourse. Next, it analyses case studies involving such issues as the place of women in the public space, illustrated by the case of the burqa in France and public controversy in the media on the exclusion of women from the public space. The book then explores reason, passion and violence in polemical discourse by means of cases involving confrontations between secular and ultra-orthodox circles, controversies about the Mexican Wall and fierce discussions about stock-options, and bonuses in times of financial crisis. Although polemical exchanges in the public sphere exacerbate dissent instead of resolving conflicts, they are quite frequent in the media and on the Net. How can we explain such a paradox? Most studies in argumentation avoid the question: they mainly focus on the verbal procedures leading to agreement. This focus stems from the centrality conferred upon consensus in our democratic societies, where decisions should be the result of a process of deliberation. What is then the social function of a confrontational management of dissent that does not primarily seek to achieve agreement? Is it just a sign of decadence, failure and powerlessness, or does it play a constructive role? This book answers these questions.
Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies
Arising from a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, this volume is an international cross-disciplinary collaboration with contributions from leading experts exploring connections across their respective fields. Themes range from philosophical examination of the foundations of physics and quantum logic, to exploitations of the methods and structures of operator theory, category theory, and knot theory in an effort to gain insight into the fundamental questions in quantum theory and logic. The book will appeal to researchers and students working in related fields, including logicians, mathematicians, computer scientists, and physicists. A brief introduction provides essential background on quantum mechanics and category theory, which, together with a thematic selection of articles, may also serve as the basic material for a graduate course or seminar.
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.
This skit of Bertrand Russell s philosophy was originally published in 1918 by Russell s correspondent friend Jourdain. The introduction explains that the contents purport to be lost papers written by Mr. B*rtr*nd R*ss*ll, a contemporary of Bertrand Russell. This politically humorous volume from the early 20th Century parodies the writing style of Russell as well as his theories.
This is an important collection of new essays on various topics relating to realism and its rivals in metaphysics, logic, metaethics, and epistemology. The contributors include some of the leading authors in these fields and in several cases their essays constitute definitive statements of their views. Although not primarily historical this volume includes discussion of philosophers from the Middle Ages to the present day, from Aquinas to Wittgenstein. No one seriously interested in questions about realism can afford to be without this collection.
What are reason and rationality? How significant are recent postmodernist and neuroscientific challenges to these longheld notions? Should we abandon a belief in reason and an adherence to rationality? Or can reason and rationality be reformulated and reframed? And what does politics have to do with how we think about reason and why we act more or less rationally? The Politics of Rationality differs from other books with "reason" or "rationality" due to its historical, political, depth-psychological, and multidisciplinary approach to understanding reason through history. Charles P. Webel eloquently clarifies the links among ideas, their creators, the relevant mental processes, and the political cultures within which such important concepts as reasons and rationality take hold. He demonstrates how reason and rationality/irrationality have become what they mean for us today and proposes a way to rethink reason and rationality in light of the withering critiques leveled against them. In doing so, he presents a "history of reason and rationality" by examining the intellectual and political contexts of four representative theorists of reason and rationality-- Plato, Machiavelli, Kant, and Weber-and by addressing contemporary challenges posed by postmodernism, depth psychology, and neurophilosophy.
This book provides a wide-ranging and in-depth reappraisal of the relation between Marx's economic theory in Capital and Hegel's Logic by leading Marxian economists and philosophers from around the world. The subjects dealt with include: systematic dialectics, the New Dialectics, materialism vs. idealism, Marx's 'inversion' of Hegel, Hegel's Concept logic, Hegel's Essence logic, Marx's levels of abstraction of capital in general and competition, and capital as Hegelian Subject.
Language and Philosophical Problems investigates problems about mind, meaning and mathematics rooted in preconceptions of language. It deals in particular with problems which are connected with our tendency to be misled by certain prevailing views and preconceptions about language. Philosophical claims made by theorists of meaning are scrutinized and shown to be connected with common views about the nature of certain mathematical notions and methods. Drawing in particular on Wittgenstein's ideas, Sren Stenlund demonstrates a strategy for tracing out and resolving conceptual and philosophical problems. By a critical examination of examples from different areas of philosophy, he shows that many problems arise through the transgression of the limits of the use of technical concepts and formal methods. Many prima facie different kinds of problems are shown to have common roots, and should thus be dealt and resolved together. Such an approach is usually prevented by the influence of traditional philosophical terminology and classification. The results of this investigation make it clear that the received ways of subdividing the subject matter of philosophy often conceal the roots of the problem.
Classic work by one of the most brilliant figures in post-war analytic philosophy.
Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano's Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
This book presents and discusses the varying and seminal role which colour plays in the development of Wittgenstein's philosophy. Having once said that "Colours spur us to philosophize", the theme of colour was one to which Wittgenstein returned constantly throughout his career. Ranging from his Notebooks, 1914-1916 and the Tractatus Logico-Philosophicus to the posthumously published Remarks on Colours and On Certainty, this book explores how both his view of philosophical problems generally and his view on colours specifically changed considerably over time. Paying particular attention to his so-called intermediary period, it takes a case-based approach to the presentation of colour in texts from this period, from Some Remarks on Logical Form and Philosophical Remarks to his Big Typescript.
The aim of the book is to gauge the possibilities of formalization of the Thomistic Theodicy. The benefits of such formalization attempts may be mutual, both in applied logic and the formalized field. Concerning formal logic on the linguistic improvements in all areas of science, formalization attempts provide useful material that can be applied to develop semiotics of the Thomistic language.
In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.
This is a reading of Gilles Deleuze's masterpiece Logic of Sense. It provides a thorough and systematic reading of Deleuze's book by focusing on the aspects that are neglected in the existing literature. Specifically, the claim that Deleuze's Logic of Sense provides a convincing answer for the most important question of the history of philosophy regarding the relation between thought and existence as well as the relation between logic and ontology is defended. The answer is that if thought is related to existence, logic is supposed to be, not the logic of essence, but rather the logic of sense. This analysis s pursued respectively through Deleuze's readings of Frege, the ancient Stoics, Lewis Carroll, Kant, Lautman, Leibniz, and Melanie Klein.
In 1942 G.E. Moore first wrote about the curious sort of 'nonsense' exhibited by the statement 'it is raining but I do not believe it'. What Moore discovered was a species of blindspots: consistent propositions that cannot be rationally accepted by certain individuals even though they might be true. In this book, Professor Sorenson aims to provide a unified solution to a large family of philosophical puzzles and paradoxes through a study of blindspots . He devotes special attention to revealing their role in 'slippery slope' reasoning. |
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