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Books > Philosophy > Topics in philosophy > Logic
Hellenistic philosophy concerns the thought of the Epicureans, Stoics, and Skeptics, the most influential philosophical groups in the era between the death of Alexander the Great (323 BCE) and the defeat of the last Greek stronghold in the ancient world (31 BCE). The Routledge Handbook of Hellenistic Philosophy provides accessible yet rigorous introductions to the theories of knowledge, ethics, and physics belonging to each of the three schools, explores the fascinating ways in which interschool rivalries shaped the philosophies of the era, and offers unique insight into the relevance of Hellenistic views to issues today, such as environmental ethics, consumerism, and bioethics. Eleven countries are represented among the Handbook's 35 authors, whose chapters were written specifically for this volume and are organized thematically into six sections: The people, history, and methods of Epicureanism, Stoicism, and Skepticism. Earlier philosophical influences on Hellenistic thought, such as Aristotle, Socrates, and Presocratics. The soul, perception, and knowledge. God, fate, and the primary principles of nature and the universe. Ethics, political theory, society, and community. Hellenistic philosophy's relevance to contemporary life. Spanning from the ancient past to the present, this Handbook aims to show that Hellenistic philosophy has much to offer all thinking people of the twenty-first century.
Critical Thinking is a comprehensive and accessible introduction to the essential skills of good reasoning, written by Canadian authors for Canadian readers. The book includes a thorough treatment of such central topics as deductive and inductive reasoning, logical fallacies, how to recognize and avoid ambiguity, and how to distinguish what is relevant from what is not. Later chapters discuss the application of critical thinking skills to particular topics and tasks, including scientific reasoning, moral reasoning, legal reasoning, media analysis, and essay writing. The book also provides access to a companion website containing additional questions, flashcards, and other useful critical thinking resources.
This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart's work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell's Collected Papers.
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.
This book presents Goedel's incompleteness theorems and the other limitative results which are most significant for the philosophy of mathematics. Results are stated in the form most relevant for use in the philosophy of mathematics. An appendix considers their implications for Hilbert's Program for the foundations of mathematics. The text is self-contained, all notions being explained in full detail, but of course previous exposure to the very first rudiments of mathematical logic will help.
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.
A paradox can be defined as an unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises. Many paradoxes raise serious philosophical problems, and they are associated with crises of thought and revolutionary advances. The expanded and revised third edition of this intriguing book considers a range of knotty paradoxes including Zeno's paradoxical claim that the runner can never overtake the tortoise, a new chapter on paradoxes about morals, paradoxes about belief, and hardest of all, paradoxes about truth. The discussion uses a minimum of technicality but also grapples with complicated and difficult considerations, and is accompanied by helpful questions designed to engage the reader with the arguments. The result is not only an explanation of paradoxes but also an excellent introduction to philosophical thinking.
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
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics-neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition-which define the prospects of logicism in the years to come. This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.
This volume contains 12 papers addressed to researchers and advanced students in informal logic and related fields, such as argumentation, formal logic, and communications. Among the issues discussed are attempts to rethink the nature of argument and of inference, the role of dialectical context, and the standards for evaluating inferences, and to shed light on the interfaces between informal logic and argumentation theory, rhetoric, formal logic and cognitive psychology.
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.
The aim of the present book is to give a comprehensive account of the 'state of the art' of substructural logics, focusing both on their proof theory (especially on sequent calculi and their generalizations) and on their semantics (both algebraic and relational. It is for graduate students in either philosophy, mathematics, theoretical computer science or theoretical linguistics as well as specialists and researchers.
This book introduces the principles of place and time by discussing the main roles they play in argumentation, unpacking the multifarious meanings of spatiality and temporality. Definitions of kairos are explored to yield suggestions as to how this concept, and that of 'place', can operate in argumentation. The chapters explore various related concepts such as the role of different arguments in different places, and how some places are not intended for argument; argumentation, time and temporality; visual argumentation; the effect of the passage of time on argument evaluation; and the image as a site of discursive production. This collection is of interest to students and researchers in argumentation studies, rhetoric, reasoning, and philosophy. Previously published in Argumentation Volume 34, issue 1, March 2020
Originally published in 1987, this volume reflects the diversity in Hegelianism and every branch of philosophy which he contributed to. It includes essays on his contribution to contemporary social philosophy, logic and the philosophy of religion. His work is examined in relation to Marx, Wittgenstein and his social philosophy discussed from a feminist standpoint.
Originally published in 1982, this volume examines the sources of British Hegelian thinking, the lines of its development and intellectual relationships among members of the school. The sources in this book include twentieth century Marxians who pioneered the move 'back to Hegel' such as Gramsci and Lukacs. It includes brief biographical entries of the principal British Hegelians and of minor figures wo paved the way for Hegel's entry into British philosophy.
Originally published in 1991, this volume examines Hegel's political philosophy from the perspective of his argument for constitutional monarchy. It offers an interpretation of Hegelian theory that is relevant for the understanding of modern republican constitutions. Modern republican theories are assessed together with those of Plato, Kant and Marx in order to put Hegel's model to the most rigorous test. The arguments are based on fresh analysis of Hegel's system and on new translations of key passages in Hegel's text.
This book offers a defense against non-classical approaches to the paradoxes. The author argues that, despite appearances, the paradoxes give no reason at all to reject classical logic. In fact, he believes classical solutions fare better than non-classical ones with respect to key tests like Curry's Paradox, a Liar-like paradox that dialetheists are forced to solve in a way totally disjoint from their solution to the Liar. Graham Priest's In Contradiction was the first major work that advocated the use of non-classical approaches. Since then, these views have moved into the philosophical mainstream. Much of this movement is fueled by a widespread sense that these logically heterodox solutions get to the real nub of the issue. They lack the ad hoc feel of many other solutions to the paradoxes. The author believes that it's long past time for a response to these attacks against classical orthodoxy. He presents a non-logically-revisionary solution to the paradoxes. This title offers a literal way of cashing out the disquotation metaphor. While the details of the view are novel, the idea has a pre-history in the relevant literature. The author examines objections in detail. He rejects each in turn and concludes by comparing the virtues of his logically orthodox approach with those of the paraconsistent and paracomplete competition.
A system of philosophy of the sort presented in this and the following volumes begins with logic. Philosophy properly speaking is characterized by the kind oflogic it employs, for what it employs it assumes, however silently; and what it assumes it presupposes. The logic stands behind the ontology and is, so to speak, metaphysically prior. One word of caution. The philosophical aspects of logic have lagged behind the mathematical aspects in point of view of interest and develop ment. The work of N. Rescher and others have gone a long way to correct this. However, their work on philosophical logic has been more concerned with the logical than with the philosophical aspects. I have in mind another approach, one that would call attention to the ontological (systematic meta physics) or metaphysical (critical ontology) aspects, whichever term you prefer. It is this approach which I have pursued in the following chapters. Since together they stand at the head of a system of philosophy which has been developed in some seventeen books, a system which ranges over all of the topics of philosophy, the chosen approach can be seen as the necessary one. But I have not written any logic, I have merely indicated the sort of logic that has to be written."
This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.
This book features original essays by leading epistemologists that address questions related to epistemic dilemmas from a variety of new, sometimes unexpected, angles. It seems plausible that there can be "no win" moral situations in which no matter what one does one fails some moral obligation. Is there an epistemic analog to moral dilemmas? Are there epistemically dilemmic situations-situations in which we are doomed to violate an epistemic requirement? If there are, when exactly do they arise and what can we learn from them? The contributors to this volume cover a wide variety of positions on epistemic dilemmas. The coverage ranges from discussions of the nature of epistemic dilemmas to arguments that there are no such things to suggestions for how to resolve (or at least live with) epistemic dilemmas to proposals for how thinking about epistemic dilemmas can be used to inform theorizing in other areas of epistemology. Epistemic Dilemmas will be of interest to scholars and advanced students in epistemology working on the nature of justification and evidential support, higher-order requirements, or suspension of judgment.
This collection addresses metaphysical issues at the intersection between philosophy and science. A unique feature is the way in which it is guided both by history of philosophy, by interaction between philosophy and science, and by methodological awareness. In asking how metaphysics is possible in an age of science, the contributors draw on philosophical tools provided by three great thinkers who were fully conversant with and actively engaged with the sciences of their day: Kant, Husserl, and Frege. Part I sets out frameworks for scientifically informed metaphysics in accordance with the meta-metaphysics outlined by these three self-reflective philosophers. Part II explores the domain for co-existent metaphysics and science. Constraints on ambitious critical metaphysics are laid down in close consideration of logic, meta-theory, and specific conditions for science. Part III exemplifies the role of language and science in contemporary metaphysics. Quine's pursuit of truth is analysed; Cantor's absolute infinitude is reconstrued in modal terms; and sense is made of Weyl's take on the relationship between mathematics and empirical aspects of physics. With chapters by leading scholars, Metametaphysics and the Sciences is an in-depth resource for researchers and advanced students working within metaphysics, philosophy of science, and the history of philosophy.
The late Mario Mignucci was one of the most authoritative, original, and influential scholars in the area of ancient philosophy, especially ancient logic. Collected here for the first time are sixteen of his most important essays on Ancient Logic, Language, and Metaphysics. These essays show a perceptive historian and a skillful logician philosophically engaged with issues that are still at the very heart of history and philosophy of logic, such as the nature of predication, identity, and modality. As well as essays found in disparate publications, often not easily available online, the volume includes an article on Plato and the relatives translated into English for the first time and an unpublished paper on De interpretatione 7. Mignucci thinks rigorously and writes clearly. He brings the deep knowledge of a scholar and the precision of a logician to bear on some of the trickiest topics in ancient philosophy. This collection deserves the close attention of anyone concerned with logic, language, and metaphysics, whether in ancient or contemporary philosophy. |
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