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Books > Humanities > Philosophy > Topics in philosophy > Logic
The Process of Argument: An Introduction is a necessary companion for anyone seeking to engage in successful persuasion: To organize, construct, and communicate arguments. It is both comprehensive and accessible: An authoritative guide to logical thinking and effective communication. The book begins with techniques to improve reading comprehension, including guides on navigating through fake news and internet trolls. Then, readers are taught how to reconstruct deductive, inductive, and abductive presentations so that the logical structure is explicit. And finally, there is a step-by-step guide for responding to these texts via the argumentative essay. Along the way are current examples from social media and elsewhere on the internet along with guides for assessing truth claims in an ever-complicated community worldview. Throughout, are carefully selected reading questions and exercises that will pace readers in order to ensure that the text is securely grasped and successfully applied. Key Features Offers guidance on how to read a text through self-analysis and social criticism Provides a step-by-step procedure for allowing the student to move from reading to reconstruction to being prepared to write an effective argumentative essay Presents truth theory and shows readers how they can helpfully acquaint themselves with a version of realistic, foundational epistemology Offers guidelines and helpful tools on how best to structure an argumentative, pro or con, essay Includes expansive coverage of inductive logic through the use and assessment of statistics Covers abductive logic as it applies to the analysis of narrative in argumentative writing Has up-to-date examples from the media, including from blogs, social media, and television Includes a helpful glossary of all important terms in the book
This book presents a systematic unifying-pluralist account-a "constructive-engagement" account-of how cross-tradition engagement in philosophy is possible. The goal of this "constructive-engagement" account is, by way of reflective criticism, argumentation, and methodological guiding principles, to inquire into how distinct approaches from different philosophical traditions can talk to and learn from each other for the sake of making joint contributions to the contemporary development of philosophy. In Part I of the book, Bo Mou explores a range of fundamental theoretic and methodological issues in cross-tradition philosophical engagement and philosophical interpretation. In Part II, he analyzes several representative case studies that demonstrate how relevant resources in the Western and Chinese philosophical traditions can constructively engage with each other. These studies cover issues in philosophical methodology, metaphysics, epistemology, philosophy of language and logic, and ethics. The book's theoretical and practical approaches expand the vision, coverage, and agenda of doing philosophy comparatively, and promote worldwide joint efforts of cross-tradition philosophical inquiries. Cross-Tradition Engagement in Philosophy will be of interest to graduate students and scholars interested in comparative philosophy and the intersection of Chinese and Western philosophy. It will also appeal to those who are interested in the ways in which cross-tradition philosophical engagement can enhance contemporary philosophical debates in metaphysics, epistemology, philosophy of language and logic, and ethics.
The dead are gone. They count for nothing. Yet, if we count the dead, their number is staggering. And they account for most of what is great about civilization. Compared to the greatness of the dead, the accomplishments of the living are paltry. Which is it then: are the dead still there to be counted or not? And if they are still there, where exactly is "there"? We are confronted with the ancient paradox of nonexistence bequeathed us by Parmenides. The mystery of death is the mystery of nonexistence. A successful attempt to provide a metaphysics of death, then, must resolve the paradox of nonexistence. That is the aim of this study. At the same time, the metaphysics of death, of ceasing to exist, must serve as an account of birth, of coming to exist; the primary thesis of this book is that this demands going beyond existence and nonexistence to include what underlies both, which one can call, following tradition, "being." The dead and the unborn are therefore objects that lack existence but not being. Nonexistent objects - not corpses, or skeletons, or memories, all of which are existent objects - are what are "there" to be counted when we count the dead.
This book deals with an old conundrum: if God knows what we will choose tomorrow, how can we be free to choose otherwise? If all our choices are already written, is our freedom simply an illusion? This book provides a precise analysis of this dilemma using the tools of modern metaphysics and logic of time. With a focus on three intertwined concepts - God's nature, the formal structure of time, and the metaphysics time, including the relationship between temporal entities and a timeless God - the chapters analyse various solutions to the problem of foreknowledge and freedom, revealing the advantages and drawbacks of each. Building on this analysis, the authors advance constructive solutions, showing under what conditions an entity can be omniscient in the presence of free agents, and whether an eternal entity can know the tensed futures of the world. The metaphysics of time, its topology and the semantics of future tensed sentences are shown to be invaluable topics in dealing with this issue. Combining investigations into the metaphysics of time with the discipline of temporal logic this monograph brings about important advancements in the philosophical understanding of an ancient and fascinating problem. The answer, if any, is hidden in the folds of time, in the elusive nature of this feature of reality and in the infinite branching of our lives.
Some of philosophy's biggest questions, both historically and today, are in-virtue-of questions: In virtue of what is an action right or wrong? In virtue of what am I the same person my mother bore? In virtue of what is an artwork beautiful? Philosophers attempt to answer many of these types of in-virtue-of questions, but philosophers are also increasingly focusing on what an in-virtue-of question is in the first place. Many assume, at least as a working hypothesis, that in-virtue-of questions involve a distinctively metaphysical kind of determinative explanation called "ground." This Handbook surveys the state of the art on ground as well as its connections and applications to other topics. The central issues of ground are discussed in 37 chapters, all written exclusively for this volume by a wide range of leading experts. The chapters are organized into the following sections: I. History II. Explanation and Determination III. Logic and Structure IV. Connections V. Applications Introductions at the start of each section provide an overview of the section's contents, and a list of Related Topics at the end of each chapter points readers to other germane areas throughout the volume. The resulting volume is accessible enough for advanced students and informative enough for researchers. It is essential reading for anyone hoping to get clearer on what the biggest questions of philosophy are really asking.
This book explains how the logic of theory change employs formal models in the investigation of changes in belief states and databases. The topics covered include equivalent characterizations of AGM operations, extended representations of the belief states, change operators not included in the original framework, iterated change, applications of the model, its connections with other formal frameworks, and criticism of the model.
In Reference and Identity in Jewish, Christian, and Muslim Scriptures: The Same God?, D. E. Buckner argues that all reference is story-relative. We cannot tell which historical individual a person is talking or writing about or addressing in prayer without familiarity with the narrative (oral or written) which introduces that individual to us, so we cannot understand reference to God, nor to his prophets, nor to any other character mentioned in the Jewish, Christian, or Muslim scriptures, without reference to those very scriptures. In this context we must understand God as the person who "walked in the garden in the cool of the day" (Gen. 3:8), and who is continuously referred to in the books of the Hebrew Bible and New Testament, as well as the Quran. Further developing ideas presented by the late Fred Sommers in his seminal The Logic of Natural Language, Buckner argues that singular reference and singular conception is empty outside such a context.
This book explains in down-to-earth language what analytical
philosophy is, and presupposes no previous knowledge of the
subject. Analytical philosophers aim at obtaining insight into the
traditional topics of philosophy by logical, conceptual and
linguistic analysis. In this book William Charlton answers
relativist attacks on this ambition and argues that its methods can
still provide fresh insight into the traditional problems of
philosophy. Taking such central philosophical problems as meaning,
time, causation and thought, the author shows why they are problems
for philosophy rather than for any other discipline, and thereby
illustrates and supports a new general theory of the nature and
scope of philosophical enquiry.
Peter Adamson explores the rich intellectual history of the Byzantine Empire and the Italian Renaissance. Peter Adamson presents an engaging and wide-ranging introduction to the thinkers and movements of two great intellectual cultures: Byzantium and the Italian Renaissance. First he traces the development of philosophy in the Eastern Christian world, from such early figures as John of Damascus in the eighth century to the late Byzantine scholars of the fifteenth century. He introduces major figures like Michael Psellos, Anna Komnene, and Gregory Palamas, and examines the philosophical significance of such cultural phenomena as iconoclasm and conceptions of gender. We discover the little-known traditions of philosophy in Syriac, Armenian, and Georgian. These chapters also explore the scientific, political, and historical literature of Byzantium. There is a close connection to the second half of the book, since thinkers of the Greek East helped to spark the humanist movement in Italy. Adamson tells the story of the rebirth of philosophy in Italy in the fifteenth and sixteenth centuries. We encounter such famous names as Christine de Pizan, Niccolo Machiavelli, Giordano Bruno, and Galileo, but as always in this book series such major figures are read alongside contemporaries who are not so well known, including such fascinating figures as Lorenzo Valla, Girolamo Savonarola, and Bernardino Telesio. Major historical themes include the humanist engagement with ancient literature, the emergence of women humanists, the flowering of Republican government in Renaissance Italy, the continuation of Aristotelian and scholastic philosophy alongside humanism, and breakthroughs in science. All areas of philosophy, from theories of economics and aesthetics to accounts of the human mind, are featured. This is the sixth volume of Adamson's History of Philosophy Without Any Gaps, taking us to the threshold of the early modern era.
T. F. Torrance's proposal for natural theology constitutes one of the most creative and provocative elements in his work. By re-envisioning natural theology as the cognitive structure of theology determined by God's self-revelation in Jesus Christ (and not as the task of philosophically reflecting on the nature or existence of God aside from religious presuppositions), Torrance moves through and beyond Barth's resistance to natural theology. This book establishes Torrance's unique reconstruction of natural theology within its proper intellectual context, providing a fresh analysis of this important methodological innovation as it emerges from Torrance's realist epistemology. As Irving demonstrates, in Torrance's distinctive conception of science, he operated with an approach to cognition that functions via a realist synthesis of experience and understanding, and in Torrance's theological science, this synthesis of experience and understanding is the synthesis of revealed theology and natural theology. The author argues that this reconstruction of natural theology expresses a dramatic vision for human agency within theological cognition, adding the necessity of the human knowing subject to the priority of the divine revealer. Finally, this book marries Torrance's accomplishments in reconstructing natural theology to his Christocentric theological method, in which God is both revealed and known in the person of Jesus Christ, fully God and fully human.
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.
A Logical Introduction to Probability and Induction is a textbook on the mathematics of the probability calculus and its applications in philosophy. On the mathematical side, the textbook introduces these parts of logic and set theory that are needed for a precise formulation of the probability calculus. On the philosophical side, the main focus is on the problem of induction and its reception in epistemology and the philosophy of science. Particular emphasis is placed on the means-end approach to the justification of inductive inference rules. In addition, the book discusses the major interpretations of probability. These are philosophical accounts of the nature of probability that interpret the mathematical structure of the probability calculus. Besides the classical and logical interpretation, they include the interpretation of probability as chance, degree of belief, and relative frequency. The Bayesian interpretation of probability as degree of belief locates probability in a subject's mind. It raises the question why her degrees of belief ought to obey the probability calculus. In contrast to this, chance and relative frequency belong to the external world. While chance is postulated by theory, relative frequencies can be observed empirically. A Logical Introduction to Probability and Induction aims to equip students with the ability to successfully carry out arguments. It begins with elementary deductive logic and uses it as basis for the material on probability and induction. Throughout the textbook results are carefully proved using the inference rules introduced at the beginning, and students are asked to solve problems in the form of 50 exercises. An instructor's manual contains the solutions to these exercises as well as suggested exam questions. The book does not presuppose any background in mathematics, although sections 10.3-10.9 on statistics are technically sophisticated and optional. The textbook is suitable for lower level undergraduate courses in philosophy and logic.
A practical, easy-to-read and often amusing guide that describes how to hone your argument skills. Features contemporary examples of debates on current topics with sidebar notes demonstrating weak and strong techniques. Provides tools to identify and avoid the most common verbal traps. Contains strategies for effectively making your points during a disagreement--whether it's a formal debate or a shouting match.
In order to perfectly describe the world, it is not enough to speak truly. In this ambitious and ground-breaking book, Theodore Sider argues that for a representation to be fully successful, truth is not enough; the representation must also use the right concepts-concepts that 'carve at the joints'-so that its conceptual structure matches reality's structure. There is an objectively correct way to 'write the book of the world'. Sider's argument begins from the assertion that metaphysics is about the fundamental structure of reality. Not about what's necessarily true; not about what properties are essential; not about conceptual analysis; and not about what there is. While inquiry into necessity, essence, concepts, or ontology might help to illuminate reality's structure, the ultimate goal is insight into this structure. Sider argues that part of the theory of structure is an account of how structure connects to other concepts. For example, structure can be used to illuminate laws of nature, explanation, reference, induction, physical geometry, substantivity, conventionality, objectivity, and metametaphysics. Another part is an account of how structure behaves. Since structure is a way of thinking about fundamentality, Sider's account implies distinctive answers to questions about the nature of fundamentality. These answers distinguish his theory of structure from other recent theories of fundamentality, including Kit Fine's theory of ground and reality, the theory of truthmaking, and Jonathan Schaffer's theory of ontological dependence.
Individual objects have potentials: paper has the potential to burn, an acorn has the potential to turn into a tree, some people have the potential to run a mile in less than four minutes. Barbara Vetter provides a systematic investigation into the metaphysics of such potentials, and an account of metaphysical modality based on them. In contemporary philosophy, potentials have been recognized mostly in the form of so-called dispositions: solubility, fragility, and so on. Vetter takes dispositions as her starting point, but argues for and develops a more comprehensive conception of potentiality. She shows how, with this more comprehensive conception, an account of metaphysical modality can be given that meets three crucial requirements: (1) Extensional correctness: providing the right truth-values for statements of possibility and necessity; (2) formal adequacy: providing the right logic for metaphysical modality; and (3) semantic utility: providing a semantics that links ordinary modal language to the metaphysics of modality. The resulting view of modality is a version of dispositionalism about modality: it takes modality to be a matter of the dispositions of individual objects (and, crucially, not of possible worlds). This approach has a long philosophical tradition going back to Aristotle, but has been largely neglected in contemporary philosophy. In recent years, it has become a live option again due to the rise of anti-Humean, powers-based metaphysics. The aim of Potentiality and Possibility is to develop the dispositionalist view in a way that takes account of contemporary developments in metaphysics, logic, and semantics.
The founder of both American pragmatism and semiotics, Charles Sanders Peirce (1839-1914) is widely regarded as an enormously important and pioneering theorist. In this book, scholars from around the world examine the nature and significance of Peirce's work on perception, iconicity, and diagrammatic thinking. Abjuring any strict dichotomy between presentational and representational mental activity, Peirce's theories transform the Aristotelian, Humean, and Kantian paradigms that continue to hold sway today and, in so doing, forge a new path for understanding the centrality of visual thinking in science, education, art, and communication. The essays in this collection cover a wide range of issues related to Peirce's theories, including the perception of generality; the legacy of ideas being copies of impressions; imagination and its contribution to knowledge; logical graphs, diagrams, and the question of whether their iconicity distinguishes them from other sorts of symbolic notation; how images and diagrams contribute to scientific discovery and make it possible to perceive formal relations; and the importance and danger of using diagrams to convey scientific ideas. This book is a key resource for scholars interested in Perice's philosophy and its relation to contemporary issues in mathematics, philosophy of mind, philosophy of perception, semiotics, logic, visual thinking, and cognitive science.
Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes in Infinity, Causation and Paradox. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause).
The aim of this book is the analysis of Kazimierz Ajdukiewicz's meta-epistemological project of the semantic theory of knowledge and its implementations to solve certain traditional epistemological problems and their metaphysical consequences. This project claims that cognitive problems need to be approached from the perspective of language. One of the results of this analysis is the thesis that the philosophical-linguistic legitimisation for the meta-epistemological project is the philosophy of Edmund Husserl from his Logical Investigations. This is the philosophy that makes it possible to speak reasonably of a close relation between thinking and language and provides thereby the legitimisation for this project.
This volume is dedicated to Prof. Dag Prawitz and his outstanding contributions to philosophical and mathematical logic. Prawitz's eminent contributions to structural proof theory, or general proof theory, as he calls it, and inference-based meaning theories have been extremely influential in the development of modern proof theory and anti-realistic semantics. In particular, Prawitz is the main author on natural deduction in addition to Gerhard Gentzen, who defined natural deduction in his PhD thesis published in 1934. The book opens with an introductory paper that surveys Prawitz's numerous contributions to proof theory and proof-theoretic semantics and puts his work into a somewhat broader perspective, both historically and systematically. Chapters include either in-depth studies of certain aspects of Dag Prawitz's work or address open research problems that are concerned with core issues in structural proof theory and range from philosophical essays to papers of a mathematical nature. Investigations into the necessity of thought and the theory of grounds and computational justifications as well as an examination of Prawitz's conception of the validity of inferences in the light of three "dogmas of proof-theoretic semantics" are included. More formal papers deal with the constructive behaviour of fragments of classical logic and fragments of the modal logic S4 among other topics. In addition, there are chapters about inversion principles, normalization of p roofs, and the notion of proof-theoretic harmony and other areas of a more mathematical persuasion. Dag Prawitz also writes a chapter in which he explains his current views on the epistemic dimension of proofs and addresses the question why some inferences succeed in conferring evidence on their conclusions when applied to premises for which one already possesses evidence.
How can we advance knowledge? Which methods do we need in order to make new discoveries? How can we rationally evaluate, reconstruct and offer discoveries as a means of improving the 'method' of discovery itself? And how can we use findings about scientific discovery to boost funding policies, thus fostering a deeper impact of scientific discovery itself? The respective chapters in this book provide readers with answers to these questions. They focus on a set of issues that are essential to the development of types of reasoning for advancing knowledge, such as models for both revolutionary findings and paradigm shifts; ways of rationally addressing scientific disagreement, e.g. when a revolutionary discovery sparks considerable disagreement inside the scientific community; frameworks for both discovery and inference methods; and heuristics for economics and the social sciences.
This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Lesniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author's nuanced survey eschews secondary commentary, analyzing Lesniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Lesniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands-'protothetic', 'ontology', and 'mereology', are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Lesniewski's academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy's great pioneers.
This collection of essays examines logic and its philosophy. The author investigates the nature of logic not only by describing its properties but also by showing philosophical applications of logical concepts and structures. He evaluates what logic is and analyzes among other aspects the relations of logic and language, the status of identity, bivalence, proof, truth, constructivism, and metamathematics. With examples concerning the application of logic to philosophy, he also covers semantic loops, the epistemic discourse, the normative discourse, paradoxes, properties of truth, truth-making as well as theology, being and logical determinism. The author concludes with a philosophical reflection on nothingness and its modelling. |
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