Download or read book An Introduction to Metalogic written by Aladdin M. Yaqub and published by Broadview Press. This book was released on 2014-10-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Download or read book Metalogic written by Geoffrey Hunter and published by Univ of California Press. This book was released on 1973-06-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.
Download or read book Logic and Metalogic written by and published by PediaPress. This book was released on with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Metalogic written by Imre Ruzsa and published by . This book was released on 1997 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sets Logic Computation written by Richard Zach and published by . This book was released on 2021-07-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Download or read book Introduction to Logic written by Harry Gensler and published by Routledge. This book was released on 2002-09-11 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic. The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_logic
Download or read book Introduction to Logic written by Harry J Gensler and published by Routledge. This book was released on 2017-01-06 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Logic is clear and concise, uses interesting examples (many philosophical in nature), and has easy-to-use proof methods. Its key features, retained in this Third Edition, include: simpler ways to test arguments, including an innovative proof method and the star test for syllogisms; a wide scope of materials, suiting it for introductory or intermediate courses; engaging examples, from philosophy and everyday life; useful for self-study and preparation for standardized tests, like the LSAT; a reasonable price (a third the cost of some competitors); and exercises that correspond to the free LogiCola instructional program. This Third Edition: improves explanations, especially on areas that students find difficult; has a fuller explanation of traditional Copi proofs and of truth trees; and updates the companion LogiCola software, which now is touch friendly (for use on Windows tablets and touch monitors), installs more easily on Windows and Macintosh, and adds exercises on Copi proofs and on truth trees. You can still install LogiCola for free (from http://www.harryhiker.com/lc or http://www.routledge.com/cw/gensler).
Download or read book Foundational Studies written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundational Studies
Download or read book System Design Modeling and Metamodeling written by John P. van Gigch and published by Springer Science & Business Media. This book was released on 1991-07-31 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a venture in the worlds of modeling and of metamodeling. At this point, I will not reveal to readers what constitutes metamodeling. Suf fice it to say that the pitfalls and shortcomings of modeling can be cured only if we resort to a higher level of inquiry called metainquiry and metadesign. We reach this level by the process of abstraction. The book contains five chapters from my previous work, Applied General Systems Theory (Harper and Row, London and New York, First Edition 1974, Second Edition 1978). More than ten years after its publication, this material still appears relevant to the main thrust of system design. This book is dedicated to all those who are involved in changing the world for the better. In a way we all are involved in system design: from the city manager who struggles with the problems of mass transportation or the consolidation of a city and its suburbs to the social worker who tries to provide benefits to the urban poor. It includes the engineer who designs the shuttle rockets. It involves the politician engaged in drafting a bill to recycle containers, or one to prevent pesticide contamination of our food. The politician might even need system design to chart his or her own re-election campaign.
Download or read book Philosophy of Logic and Mathematics written by Gabriele M. Mras and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.
Download or read book Foundational Studies written by Andrzej Mostowski and published by Elsevier. This book was released on 1979 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection.
Download or read book A Subject With No Object written by John P. Burgess and published by Clarendon Press. This book was released on 1997-01-16 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. A Subject With No Object cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts, with minimal prerequisites, of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed.
Download or read book A User s Guide to Franz Rosenzweig s Star of Redemption written by Norbert M. Samuelson and published by Routledge. This book was released on 2014-04-04 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This user-friendly guide will help students of the 'Star' to be able to discuss at a basic level what, at least conceptually, Rosenzweig intended to say and how all that he says is interrelated.
Download or read book American Philosophy written by Barbara MacKinnon and published by SUNY Press. This book was released on 1985-01-01 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology demonstrates the richness and diversity of the American intellectual heritage. In it we see how Jonathan Edwards grapples with the problem of how to reconcile freedom and responsibility with Calvinist religious beliefs; how Franklin and Jefferson exemplified American enlightenment thought; and how the Transcendentalists, Ralph Waldo Emerson and Henry David Thoreau, formulated their particular romantic idealist beliefs. A second and significant portion of the anthology is devoted to Pragmatism. Substantive excerpts from Peirce, James and Dewey, as well as Royce, are collected here. A third part is devoted to other Twentieth-Century American philosophies. No other collection of writings in this field includes the breadth of coverage that this one does. Among the chapters in this third part of the book are those on early Process Philosophy, Phenomenology, Positivism, and Language Philosophies. Selections from such philosophers as Whitehead, Weiss, Buchler, Gurwitsch, Sellars, Quine, Davidson, and Rawls, along with many others are included in this part. A final chapter is devoted to twentieth-century American Moral Philosophy. The book is specifically designed to be used as a text for courses in American philosophy. A substantive introduction that emphasizes the historical setting as well as major interests and ideas of the philosophers accompanies each chapter. Extensive bibliographies and study guide questions follow each chapter. The selections include more than any one course will cover, but in their completeness also allow individual teachers and readers to select what they want.
Download or read book CRITIQUE OF IMPURE REASON written by Steven James Bartlett and published by Studies in Theory and Behavior. This book was released on 2021-09-01 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Critique of Impure Reason: Horizons of Possibility and Meaning comprises a major and important contribution to philosophy. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the massive work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. In Kant’s Critique of Pure Reason we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new Critique focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ conflict with the very preconditions of meaning and of knowledge. This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. The Critique of Impure Reason proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of possible meaning are determined. Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, metalogical projection. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. Based on original research and rigorous analysis combined with extensive scholarship, the Critique of Impure Reason develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. CONTENTS AT A GLANCE Preface Foreword by Carl Friedrich von Weizsäcker Acknowledgments Avant-propos: A philosopher’s rallying call Introduction A note to the reader A note on conventions PART I WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN 1 Philosophical-psychological prelude 2 Putting belief in its place: Its psychology and a needed polemic 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference 4 The stepladder to maximum theoretical generality PART II THE METALOGIC OF REFERENCE A New Approach to Deductive, Transcendental Philosophy 5 Reference, identity, and identification 6 Self-referential argument and the metalogic of reference 7 Possibility theory 8 Presupposition logic, reference, and identification 9 Transcendental argumentation and the metalogic of reference 10 Framework relativity 11 The metalogic of meaning 12 The problem of putative meaning and the logic of meaninglessness 13 Projection 14 Horizons 15 De-projection 16 Self-validation 17 Rationality: Rules of admissibility PART III PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE Major Problems and Questions of Philosophy and the Philosophy of Science 18 Ontology and the metalogic of reference 19 Discovery or invention in general problem-solving, mathematics, and physics 20 The conceptually unreachable: “The far side” 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism 22 The projections of time, space, and space-time 23 The projections of causality, determinism, and free will 24 Projections of the self and of solipsism 25 Non-relational, agentless reference and referential fields 26 Relativity physics as seen through the lens of the metalogic of reference 27 Quantum theory as seen through the lens of the metalogic of reference 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory PART IV HORIZONS 29 Beyond belief 30 Critique of Impure Reason: Its results in retrospect SUPPLEMENT The Formal Structure of the Metalogic of Reference APPENDIX I: The Concept of Horizon in the Work of Other Philosophers APPENDIX II: Epistemological Intelligence References Index About the author
Download or read book From Mathematics to Philosophy Routledge Revivals written by Hao Wang and published by Routledge. This book was released on 2016-06-10 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.
Download or read book Sparks of Genius written by Robert Scott Root-Bernstein and published by Houghton Mifflin Harcourt. This book was released on 2001 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this bold book, Robert and Michele Root-Bernstein vividly describe how geniuses from Albert Einstein and Richard Feynman to e.e. cummings and Isabel Allende use a common toolbox of mental skills to create new ideas and expressions in every area of the arts and sciences. Illustrations, photos.
