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| metalogic meaning: Algebra, Meaning, and Computation Kokichi Futatsugi, 2006-06-22 This volume - honoring the computer science pioneer Joseph Goguen on his 65th Birthday - includes 32 refereed papers by leading researchers in areas spanned by Goguen's work. The papers address a variety of topics from meaning, meta-logic, specification and composition, behavior and formal languages, as well as models, deduction, and computation, by key members of the research community in computer science and other fields connected with Joseph Goguen's work. |
| metalogic meaning: Philosophy of Logic and Mathematics Gabriele M. Mras, Paul Weingartner, Bernhard Ritter, 2019-11-18 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. |
| metalogic meaning: Metaphysics, Mathematics, and Meaning Nathan U. Salmon, 2005 'Metaphysics, Mathematics and Meaning' brings together Nathan Salmon's influential papers on topics in the metaphysics of existence, non-existence and fiction. He includes a previously unpublished essay and helpful new introduction to orient the reader. |
| metalogic meaning: Truth, Meaning, Justification, and Reality Michael Frauchiger, 2017-11-20 This collection concentrates on vital themes from Michael Dummett, one of the most influential and creative analytic philosophers of our time. The contributors, who include some of Dummett's distinguished former students, critically reflect on various concerns of Dummett's ground-breaking work in philosophy of language, metaphysics, and philosophy of mathematics and logic. The essays direct towards aspects of Dummett's pioneering work in the history of analytical philosophy, particularly his interpretations of the works of Frege and of Wittgenstein, which in conjunction with Dummett’s own highly original ideas on truth and meaning have shaped decisive contemporary debates concerning notably the distinction between realism and anti-realism. Further, the volume includes a cheerfully serious excursion into popular philosophy by Dummett himself and reveals less known facets of Dummett's many-sided work and activities such as his political philosophy of immigration and asylum, and beyond that, his untiring and warm-hearted campaign for racial justice and humanity. Contributors: Michael Dummett, Eva Picardi, Crispin Wright, Timothy Williamson, Ian Rumfitt, Daniel Isaacson, Dag Prawitz, Dale Jacquette, Alex Burri, Michael Frauchiger. |
| metalogic meaning: Historical Dictionary of Logic Harry J. Gensler, 2006-02-27 Historical Dictionary of Logic contains a dictionary section of more than 300 entries on persons, concepts, theories, forms of logic, fields in which logic is used, and the many fallacies that can trap the unwary. It includes entries on historical periods and figures, including ancient logic, medieval logic, Buddhist logic, Aristotle, Ockham, Boole, Frege, Russell, Godel, and Quine. It also includes information on propositional logic, modal logic, deontic logic, temporal logic, set theory, many-valued logic, mereology, and para-consistent logic. A substantial chronology lists the main events in the history of logic, and an introduction sketches the central ideas and their evolution. The bibliography provides a broad range of additional reading.--BOOK JACKET. |
| metalogic meaning: Metalogic for Students Roderic A. Girle, 2024-10-31 This text is for academics, postgraduates and upper-level students who want to know more about formal logic. The text assumes some elementary knowledge of formal logic. It covers the semantics and axiomatics of modern classical formal logic, as well as proofs of soundness, completeness, and both of Gödel’s theorems. There is also a discussion of the pictorial semantics of various logic diagrams: Euler, Carroll, and Venn diagrams, Karnaugh maps, and switching circuits. Lastly, the book covers the reliability of classical formal logic for the evaluation of everyday argumentation, and Nether Logic, the logic of the transmission of falsehood. |
| metalogic meaning: American Philosophy Barbara MacKinnon, 1985-01-01 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. |
| metalogic meaning: CRITIQUE OF IMPURE REASON Steven James Bartlett, 2021-09-01 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 |
| metalogic meaning: The A to Z of Logic Harry J. Gensler, 2010-02-12 The A to Z of Logic introduces the central concepts of the field in a series of brief, non-technical, cross-referenced dictionary entries. The 352 alphabetically arranged entries give a clear, basic introduction to a very broad range of logical topics. Entries can be found on deductive systems, such as propositional logic, modal logic, deontic logic, temporal logic, set theory, many-valued logic, mereology, and paraconsistent logic. Similarly, there are entries on topics relating to those previously mentioned such as negation, conditionals, truth tables, and proofs. Historical periods and figures are also covered, including ancient logic, medieval logic, Buddhist logic, Aristotle, Ockham, Boole, Frege, Russell, Gödel, and Quine. |
| metalogic meaning: From a Topical Point of View Peter Boschung, 2006-12-01 This study of Anselm of Canterbury's enigmatic work De grammatico provides a perspective both on Anselm's thought and the history of medieval dialectic immediately prior to the renaissance of dialectic in the 12th century. The first part of the book examines Anselm's notion of dialectic and illustrates the role of De grammatico in the context of teaching dialectic. The second part of the book remarks the novelty of Anselm's way of treating fallacies and presents a full study of the technique for treating fallacies, its theoretical basis, and its application in the context of dialectic. The third part explores Anselm's theory of signification as it is presented in De grammatico and emphasizes its rich metaphysical underpinnings. Each part begins with a presentation of an assessment of the sources as they were available to Anselm, builds the interpretation of Anselm's ideas on this basis, and reflects on the relation of these ideas to 12th Century logical thought. |
| metalogic meaning: Discrete Mathematics Using a Computer Cordelia Hall, John O'Donnell, 2013-04-17 Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction. |
| metalogic meaning: Philosophical Writings / Philosophische Schriften Gunther Wenz, 2020-03-23 No detailed description available for Philosophical Writings / Philosophische Schriften. |
| metalogic meaning: The Vienna Circle Friedrich Stadler, 2015-05-08 This abridged and revised edition of the original book (Springer-Wien-New York: 2001) offers the only comprehensive history and documentation of the Vienna Circle based on new sources with an innovative historiographical approach to the study of science. With reference to previously unpublished archival material and more recent literature, it refutes a number of widespread clichés about neo-positivism or logical positivism. Following some insights on the relation between the history of science and the philosophy of science, the book offers an accessible introduction to the complex subject of the rise of scientific philosophy” in its socio-cultural background and European philosophical networks till the forced migration in the Anglo-Saxon world. The first part of the book focuses on the origins of Logical Empiricism before World War I and the development of the Vienna Circle in Red Vienna (with the Verein Ernst Mach), its fate during Austro-Fascism (Schlick's murder 1936) and its final expulsion by National-Socialism beginning with the Anschluß in 1938. It analyses the dynamics of the Schlick-Circle in the intellectual context of late enlightenment including the minutes of the meetings from 1930 on for the first time published and presents an extensive description of the meetings and international Unity of Science conferences between 1929 and 1941. The chapters introduce the leading philosophers of the Schlick Circle (e.g., Hans Hahn, Otto Neurath, Rudolf Carnap, Philipp Frank, Felix Kaufmann, Edgar Zilsel) and describe the conflicting interaction between Moritz Schlick and Otto Neurath, the long term communication between Moritz Schlick, Friedrich Waismann and Ludwig Wittgenstein, as well as between the Vienna Circle with Heinrich Gomperz and Karl Popper. In addition, Karl Menger's Mathematical Colloquium with Kurt Gödel is presented as a parallel movement. The final chapter of this section describes the demise of the Vienna Circle and the forced exodus of scientists and intellectuals from Austria. The second part of the book includes a bio-bibliographical documentation of the Vienna Circle members and for the first time of the assassination of Moritz Schlick in 1936, followed by an appendix comprising an extensive list of sources and literature. |
| metalogic meaning: From Mathematics to Philosophy (Routledge Revivals) Hao Wang, 2016-06-10 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. |
| metalogic meaning: The to Z of Logic Harry J. Gensler, 2010-02-12 The A to Z of Logic introduces the central concepts of the field in a series of brief, non-technical, cross-referenced dictionary entries. The 352 alphabetically arranged entries give a clear, basic introduction to a very broad range of logical topics. Entries can be found on deductive systems, such as propositional logic, modal logic, deontic logic, temporal logic, set theory, many-valued logic, mereology, and paraconsistent logic. Similarly, there are entries on topics relating to those previously mentioned such as negation, conditionals, truth tables, and proofs. Historical periods and figures are also covered, including ancient logic, medieval logic, Buddhist logic, Aristotle, Ockham, Boole, Frege, Russell, Gödel, and Quine. There are even entries relating logic to other areas and topics, like biology, computers, ethics, gender, God, psychology, metaphysics, abstract entities, algorithms, the ad hominem fallacy, inductive logic, informal logic, the liar paradox, metalogic, philosophy of logic, and software for learning logic. In addition to the dictionary, there is a substantial chronology listing the main events in the history of logic, an introduction that sketches the central ideas of logic and how it has evolved into what it is today, and an extensive bibliography of related readings. This book is not only useful for specialists but also understandable to students and other beginners in the field. |
| metalogic meaning: WITTGENSTEINIAN (adj.) Shyam Wuppuluri, Newton da Costa, 2019-11-22 “Tell me, Wittgenstein once asked a friend, why do people always say, it was natural for man to assume that the sun went round the earth rather than that the earth was rotating? His friend replied, Well, obviously because it just looks as though the Sun is going round the Earth. Wittgenstein replied, Well, what would it have looked like if it had looked as though the Earth was rotating?” What would it have looked like if we looked at all sciences from the viewpoint of Wittgenstein’s philosophy? Wittgenstein is undoubtedly one of the most influential philosophers of the twentieth century. His complex body of work has been analysed by numerous scholars, from mathematicians and physicists, to philosophers, linguists, and beyond. This volume brings together some of his central perspectives as applied to the modern sciences and studies the influence they may have on the thought processes underlying science and on the world view it engenders. The contributions stem from leading scholars in philosophy, mathematics, physics, economics, psychology and human sciences; all of them have written in an accessible style that demands little specialist knowledge, whilst clearly portraying and discussing the deep issues at hand. |
| metalogic meaning: Metalogic Geoffrey Hunter, 1973-06-26 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. |
| metalogic meaning: Dictionary of Visual Discourse Barry Sandywell, 2016-04-22 This substantial and ambitious dictionary explores the languages and cultures of visual studies. It provides the basis for understanding the foundations and motivations of current theoretical and academic discourse, as well as the different forms of visual culture that have come to organize everyday life. The book is firmly placed in the context of the 'visual turn' in contemporary thought. It has been designed as an interdisciplinary or transdisciplinary introduction to the vocabularies and grammars of visuality that inform thinking in the arts and humanities today. It also offers insight into the philosophical frameworks which underpin the field of visual culture. A central theme that runs throughout the entries is the task of moving away from a narrow understanding of visuality inherited from traditional philosophy toward a richer cultural and multi-sensorial philosophy of concrete experience. The dictionary incorporates intertextual links that encourage readers to explore connections between major themes, theories and key figures in the field. In addition the author's introduction provides a comprehensive and critical introduction which documents the significance of the visual turn in contemporary theory and culture. It is accompanied by an extensive bibliography and further reading list. As both a substantive academic contribution to this growing field and a useful reference tool, this book offers a theoretical introduction to the many languages of visual discourse. It will be essential reading for graduate students and scholars in visual studies, the sociology of visual culture, cultural and media studies, philosophy, art history and theory, design, film and communication studies. |
| metalogic meaning: Extensions of Logic Programming Evelina Lamma, Paola Mello, 1993-02-12 This book contains papers which investigate how to extend logic programming toward the artificial intelligence and software engineering areas, covering both theoretical and practical aspects. Some papers investigate topics such as abductive reasoning and negation. Some works discuss how to enhance the expressive power of logic programming by introducing constraints, sets, and integration with functional programming. Other papers deal with the structuring of knowledge into modules, taxonomies, and objects, withthe aim of extending logic programming toward software engineering applications. A section is devoted to papers concentrating on proof theory and inspired by Gentzen-style sequent or natural deduction systems. Topics such as concurrency are considered to enhance the expressive power of logic languages. Finally, some papers mainly concernimplementation techniques for some of these logic programming extensions. |
| metalogic meaning: Intensional First-Order Logic Zoran Majkic, 2022-09-06 This book introduces the properties of conservative extensions of First Order Logic (FOL) to new Intensional First Order Logic (IFOL). This extension allows for intensional semantics to be used for concepts, thus affording new and more intelligent IT systems. Insofar as it is conservative, it preserves software applications and constitutes a fundamental advance relative to the current RDB databases, Big Data with NewSQL, Constraint databases, P2P systems, and Semantic Web applications. Moreover, the many-valued version of IFOL can support the AI applications based on many-valued logics. |
| metalogic meaning: Future Logic Avi Sion, 1990-08-02 Future Logic is an original and wide-ranging treatise of formal logic. It deals with deduction and induction, of categorical and conditional propositions, involving the natural, temporal, extensional, and logical modalities. This is the first work ever to strictly formalize the inductive processes of generalization and particularization, through the novel methods of factorial analysis, factor selection and formula revision. This is the first work ever to develop a formal logic of the natural, temporal and extensional types of conditioning (as distinct from logical conditioning), including their production from modal categorical premises. |
| metalogic meaning: Logical Empiricism at Its Peak Maria Neurath, Sahotra Sarkar, Moritz Schlick, Rudolf Carnap, 2021-11-18 First Published in 1996. This volume reprints pieces from the Vienna Circle period between the manifesto and the adoption of semantics, as well as two commentaries. During this period, the logical empiricists were the most ambitious and the most confident about the success of their enterprise. The first section consists of four ideological classics, The second section reprints three papers on physicalism. The third section consists of three papers on logic and the fourth on reprints three papers on truth, induction, and confirmation. |
| metalogic meaning: Meta-Programming in Logic Alberto Pettorossi, 1992 This volume contains lectures and papers delivered at Meta 92, the Third International Workshop on Metaprogramming in Logic, held in Uppsala, Sweden, June 1992. The topics covered include foundations of metaprogramming in logic, proposals for metaprogramming languages, techniques for knowledgerepresentation and belief systems, and program transformation and analysis in logic. Particular topics include belief revision systems, intensionaldeduction, belief systems and metaprogramming, principles of partial deduction, termination in logic programs, semantics of the vanilla metainterpreter, a complete resolution method for metaprogramming, semanticsof demo, hierarchical metalogics, the naming relation in metalevel systems, modules, reflective agents, compiler optimizations, metalogic and object-oriented facilities, parallel logic languages, the use of metaprogramming for legal reasoning, representing objects and inheritance, transformation of normal programs, negation in automatically generated logic programs, reordering of literals in deductive databases, abstract interpretations, and interarguments in constraint logic programs.--PUBLISHER'S WEBSITE. |
| metalogic meaning: What is Religion? Edited and with an Introd Paul Tillich, 1969 |
| metalogic meaning: Humanistic Psychology Joseph Royce, 2012-12-06 THE FORMATIVE TENDENCY I have often pointed out that in my work with individuals in therapy, and in my experience in encounter groups, I have been led to the con viction that human nature is essentially constructive. When, in a ther apeutic climate (which can be objectively defined) a person becomes sharply aware of more of his or her internal experiencing and of the stimuli and demands from the external world, thus acquiring a full range of options, the person tends to move in the direction of becoming a socially constructive organism. But many are critical of this point of view. Why should such a positive direction be observed only in humans? Isn't this just pure op- · . ? timi sm. So quite hesitantly, because I have to draw on the work and thinking of others rather than on my own experience, I should like to try to set this directional tendency in a much broader context. I shall draw on my general reading in the field of science, but I should like to mention a special indebtedness to the work of Lancelot Whyte in The Universe of Experience (Harper and Row, 1974), the last book he wrote before his death. Though the book has flaws, in my judgment this historian has some thought-provoking themes to advance. I have learned from many others as well. |
| metalogic meaning: Language and Reality Wilbur Marshall Urban, 2014-06-03 First published in 2002. This is Volume XV of seventeen in the Library of Philosophy series on Metaphysics. Written in 1939, this book looks at Language and Reality and the Philosophy of Language and the Principles of Symbolism and is related to the movement of Logical Positivism, initiated by Wittgenstein's Tractatus Logico-Philosophicus. |
| metalogic meaning: Semantics and Truth Jan Woleński, 2020-01-01 The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality). |
| metalogic meaning: Category Theory Zoran Majkic, 2023-03-06 This book analyzes the generation of the arrow-categories of a given category, which is a foundational and distinguishable Category Theory phenomena, in analogy to the foundational role of sets in the traditional set-based Mathematics, for defi nition of natural numbers as well. This inductive transformation of a category into the infinite hierarchy of the arrowcategories is extended to the functors and natural transformations. The author considers invariant categorial properties (the symmetries) under such inductive transformations. The book focuses in particular on Global symmetry (invariance of adjunctions) and Internal symmetries between arrows and objects in a category (in analogy to Field Theories like Quantum Mechanics and General Relativity). The second part of the book is dedicated to more advanced applications of Internal symmetry to Computer Science: for Intuitionistic Logic, Untyped Lambda Calculus with Fixpoint Operators, Labeled Transition Systems in Process Algebras and Modal logics as well as Data Integration Theory. |
| metalogic meaning: The Vienna Circle and the Lvov-Warsaw School A. Szaniawski, 2012-12-06 This book grew out of an international symposium, organized in September 1986 by the Austrian Cultural Institute in Warsaw in cooperation with the Polish Philosophical Society. The topic was: The Vienna Circle and the Lvov-Warsaw School. Since the two phil osophical trends existed in roughly the same time and were close ly related, it was one of the purposes of the symposium to investigate both similarities and thp differences. Some thirty people took part in the symposium, nearly twenty contributions were presented and extensively discussed. The sym posium owed much to the excellent organization and warm hospital ity shown by Dr Georg Jankovic, the Director of the Austrian In stitute. As the person in charge of the scientific programme of the symposium, I take pleasure to acknowledge this debt. It so happened that a month later another symposium of a similar character was held. It took place in the University of Manchester, on the occasion of the centenary of the births of Stanislaw Lesniewski, Tadeusz Kotarbiflski and Wladyslaw Tatarkie wicz. Some papers read at the Manchester symposium form a part of the present volume. It was not possible, for technical reasons (the time factor was one of them), to include in this book all the material from the two symposia. Certain contributions have appeared elsewhere (for instance, K. Szaniawski's 'Ajdukiewicz on Non-Deductive Inference' was published in Danish Yearbook of Philosophy, Vol. 23). On the other hand, certain papers have been written special ly for this volume. |
| metalogic meaning: What is Religion? Paul Tillich, 1969 |
| metalogic meaning: Logical Positivism A.J. Ayer, 1966 Edited by a leading exponent of the school, this book offers--in the words of the movement's founders--logical positivism's revolutionary theories on meaning and metaphysics, the nature of logic and mathematics, the foundations of knowledge, the content of psychological propositions, ethics, sociology, and the nature of philosophy itself. |
| metalogic meaning: Wittgenstein: Rules, Grammar and Necessity Gordon P. Baker, P. M. S. Hacker, 2014-02-03 The Second Edition of Wittgenstein: Rules, Grammar and Necessity (the second volume of the landmark analytical commentary on Wittgenstein’s Philosophical Investigations) now includes extensively revised and supplemented coverage of the Wittgenstein's complex and controversial remarks on following rules. Includes thoroughly rewritten essays and the addition of one new essay on communitarian and individualist conceptions of rule-following Includes a greatly expanded essay on Wittgenstein’s conception of logical, mathematical and metaphysical necessity Features updates to the textual exegesis as the result of taking advantage of the search engine for the Bergen edition of the Nachlass Reflects the results of scholarly debates on rule-following that have raged over the past 20 years |
| metalogic meaning: Human Understanding as Problem Jesús Padilla Gálvez, Margit Gaffal, 2018-11-05 The problems associated with understanding come to light in many facets of our lives. This volume is dedicated to describing these facets and clarifying problems related to levels of comprehension, conceptual analysis, understanding oneself and the other as well as cultural aspects of understanding. The authors address the topic in different theoretical frames such as hermeneutics, phenomenology, transcendental, and analytic philosophy. |
| metalogic meaning: Epistemology, Knowledge and the Impact of Interaction Juan Redmond, Olga Pombo Martins, Ángel Nepomuceno Fernández, 2016-04-28 With this volume of the series Logic, Epistemology, and the Unity of Science edited by S. Rahman et al. a challenging dialogue is being continued. The series’ first volume argued that one way to recover the connections between logic, philosophy of sciences, and sciences is to acknowledge the host of alternative logics which are currently being developed. The present volume focuses on four key themes. First of all, several chapters unpack the connection between knowledge and epistemology with particular focus on the notion of knowledge as resulting from interaction. Secondly, new epistemological perspectives on linguistics, the foundations of mathematics and logic, physics, biology and law are a subject of analysis. Thirdly, several chapters are dedicated to a discussion of Constructive Type Theory and more generally of the proof-theoretical notion of meaning.Finally, the book brings together studies on the epistemic role of abduction and argumentation theory, both linked to non-monotonic approaches to the dynamics of knowledge. |
| metalogic meaning: Language, Logic, and Mathematics in Schopenhauer Jens Lemanski, 2020-06-08 The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study. |
| metalogic meaning: Wittgenstein: Comparisons and Context P. M. S. Hacker, 2013-10-31 Wittgenstein: Comparisons and Context is a collection of P. M. S. Hacker's papers on Wittgenstein and Wittgensteinian themes written over the last decade. It presents Hacker's own (Wittgensteinian) conception of philosophy, and defends it against criticisms. Two essays compare Wittgenstein with Kant on transcendental arguments, and offer a Wittgensteinian critique of Kant's transcendental deduction. Two further essays trace the development of Wittgenstein's philosophy of psychology, and examine his anthropological and ethnological approach to philosophical problems. This leads naturally to a synoptic comparison of Wittgenstein's later philosophy of language with formal, truth-conditional conceptions of language. A further two clarificatory essays follow these comparative ones: the first concerns Wittgenstein's conception of grammar, and his exclusion of theses, doctrines, dogmas, and opinions in philosophy; the second concerns his treatment of intentionality. The penultimate essay examines Quine's epistemological naturalism, which is often presented as a more scientific approach to philosophical problems than Wittgenstein's. The final essay offers a synoptic view of analytic philosophy and its history, in which Wittgenstein played so notable a part. The volume complements Hacker's previous collection, Wittgenstein: Connections and Controversies (OUP, 2001), but stands as an independent contribution to work in the field. |
| metalogic meaning: The System of the Sciences According to Objects and Methods Paul Tillich, 1981 |
| metalogic meaning: The Boundary Stones of Thought Ian Rumfitt, 2015 Classical logic has been attacked by adherents of rival, anti-realist logical systems: Ian Rumfitt comes to its defence. He considers the nature of logic, and how to arbitrate between different logics. He argues that classical logic may dispense with the principle of bivalence, and may thus be liberated from the dead hand of classical semantics. |
| metalogic meaning: The Heritage of Kazimierz Ajdukiewicz , 2023-03-13 This book presents Kazimierz Ajdukiewicz's philosophy. Ajdukiewicz was one of the most distinguished and important philosophers of the contemporary Poland. He produced important ideas in logic, epistemology, philosophy of language, and ontology. He influenced Polish analytic philosophy very much. The collection gives a general account of Ajdukiewicz philosophy and it is the only full presentation of his ideas available in Western languages. The volume is of interest for everybody working in analytic philosophy. |
| metalogic meaning: Conceptual Structures: Inspiration and Application Henrik Schärfe, Pascal Hitzler, Peter Ohrstrom, 2006-08-29 This book constitutes the refereed proceedings of the 14th International Conference on Conceptual Structures, ICCS 2006, held in Aalborg, Denmark in July 2006. The volume presents 24 revised full papers, together with 6 invited papers. The papers address topics such as conceptual structures; their interplay with language, semantics and pragmatics; formal methods for concept analysis and contextual logic, modeling, representation, and visualization of concepts; conceptual knowledge acquisition and more. |
Metalogic - Wikipedia
Metalogic is the metatheory of logic. Whereas logic studies how logical systems can be used to construct valid and sound arguments, metalogic studies the properties of logical systems. [1]
Metalogic Ind
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Metalogic | Definition, Philosophy, Theories, Examples, & Facts ...
Metalogic, the study and analysis of the semantics (relations between expressions and meanings) and syntax (relations among expressions) of formal languages and formal systems. It is …
Introduction to Metalogic - Princeton University
Sep 21, 2016 · Introduction to Metalogic Hans Halvorson September 21, 2016 Logical grammar De nition. A propositional signature is a collection of items, which we call propositional …
Sets, Logic, Computation: An Open Introduction to Logic
Sets, Logic, Computation is an introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and …
About metalogic
metalogic, headquartered in Munich, Germany, is a market leader and innovative producer of prediction software and Azure Cloud based managed forecasting services for the Energy …
Metalogic - (Formal Logic I) - Vocab, Definition ... - Fiveable
Metalogic is the study of the properties and implications of logical systems, examining both their syntax (the formal structure and rules of a language) and semantics (the meaning and …
An Introduction to Metalogic - Aladdin M. Yaqub - Google Books
Oct 24, 2014 · 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...
Metalogic, Schopenhauer and Universal Logic | SpringerLink
Jun 9, 2020 · In a first section we examine and clarify the meaning of Metalogic in modern logic, comparing Metalogic to Metamathematics and Universal Logic. We make in particular a …
Metalogic - Wikipedia
Metalogic is the metatheory of logic. Whereas logic studies how logical systems can be used to construct valid and sound arguments, metalogic studies the properties of logical systems. [1]
Metalogic Ind
Metalogic Industries provides precision manufacturing solution including: milling, turning, laser cutting, EDM, fabrication, welding, and grinding.
Full Service NDT Provider - Metalogic Inspection Services
Metalogic is a turnkey inspection company specializing in the implementation of advanced technologies. 780-469-6161 | Toll Free: 1-888-469-6161
Metalogic | Definition, Philosophy, Theories, Examples, & Facts ...
Metalogic, the study and analysis of the semantics (relations between expressions and meanings) and syntax (relations among expressions) of formal languages and formal systems. It is …
Introduction to Metalogic - Princeton University
Sep 21, 2016 · Introduction to Metalogic Hans Halvorson September 21, 2016 Logical grammar De nition. A propositional signature is a collection of items, which we call propositional …
Sets, Logic, Computation: An Open Introduction to Logic
Sets, Logic, Computation is an introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and …
About metalogic
metalogic, headquartered in Munich, Germany, is a market leader and innovative producer of prediction software and Azure Cloud based managed forecasting services for the Energy …
Metalogic - (Formal Logic I) - Vocab, Definition ... - Fiveable
Metalogic is the study of the properties and implications of logical systems, examining both their syntax (the formal structure and rules of a language) and semantics (the meaning and …
An Introduction to Metalogic - Aladdin M. Yaqub - Google Books
Oct 24, 2014 · 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...
Metalogic, Schopenhauer and Universal Logic | SpringerLink
Jun 9, 2020 · In a first section we examine and clarify the meaning of Metalogic in modern logic, comparing Metalogic to Metamathematics and Universal Logic. We make in particular a …
