Tag: Logic

Free Download The Future of Post-Human Mathematical Logic By Peter Baofu
2008 | 278 Pages | ISBN: 1443800333 | PDF | 3 MB
Why should mathematical logic be grounded on the basis of some formal requirements in the way that it has been developed since its classical emergence as a hybrid field of mathematics and logic in the 19th century or earlier? Contrary to conventional wisdom, the foundation of mathematic logic has been grounded on some false (or dogmatic) assumptions which have much impoverished the pursuit of knowledge. This is not to say that mathematical logic has been useless. Quite on the contrary, it has been quite influential in shaping the way that reality is to be understood in numerous fields of knowledge by learning from the mathematical study of logic and its reverse, the logical study of mathematics. In the final analysis, the future of mathematical logic will depend on how its foundational crisis is to be resolved, and ‘the contrastive theory of rationality’ (in this book) is to precisely show how and why it can be done by taking a contrastive turn, subject to the constraints imposed upon by ‘existential dialectic principles’ at the ontological level (to avoid any reductionistic fallacy) and other ones (like the perspectives of culture, society, nature, and the mind). The contrastive theory of rationality thus shows a better way to ground mathematical logic (beyond both classical and non-classical logics) for the future advancement of knowledge and, if true, will alter the way of how mathematical logic is to be understood, with its enormous implications for the future of knowledge and its ‘post-human’ fate.

Free Download Logic, Language and Computation By Seiki Akama (auth.), Seiki Akama (eds.)
1997 | 253 Pages | ISBN: 940106377X | PDF | 22 MB
The editors of the Applied Logic Series are happy to present to the reader the fifth volume in the series, a collection of papers on Logic, Language and Computation. One very striking feature of the application of logic to language and to computation is that it requires the combination, the integration and the use of many diverse systems and methodologies – all in the same single application. The papers in this volume will give the reader a glimpse into the problems of this active frontier of logic. The Editors CONTENTS Preface IX 1. S. AKAMA Recent Issues in Logic, Language and Computation 1 2. M. J. CRESSWELL Restricted Quantification 27 3. B. H. SLATER The Epsilon Calculus’ Problematic 39 4. K. VON HEUSINGER Definite Descriptions and Choice Functions 61 5. N. ASHER Spatio-Temporal Structure in Text 93 6. Y. NAKAYAMA DRT and Many-Valued Logics 131 7. S. AKAMA On Constructive Modality 143 8. H. W ANSING Displaying as Temporalizing: Sequent Systems for Subintuitionistic Logics 159 9. L. FARINAS DEL CERRO AND V. LUGARDON 179 Quantification and Dependence Logics 10. R. SYLVAN Relevant Conditionals, and Relevant Application Thereof 191 Index 245 Preface This is a collection of papers by distinguished researchers on Logic, Lin guistics, Philosophy and Computer Science. The aim of this book is to address a broad picture of the recent research on related areas. In particular, the contributions focus on natural language semantics and non-classical logics from different viewpoints.

Free Download Handbook of Philosophical Logic: Volume 8 By David Harrah (auth.), D. M. Gabbay, F. Guenthner (eds.)
2002 | 354 Pages | ISBN: 9401039194 | PDF | 36 MB
"The best starting point for exploring any of the topics in logic" Encyclopaedia Britannica

Free Download Jacob Rogozinski, "The Logic of Hatred: From Witch Hunts to the Terror"
English | ISBN: 1531505368 | 2024 | 336 pages | PDF | 5 MB

Free Download Logic, Epistemology, and Scientific Theories – From Peano to the Vienna Circle by Paola Cantù, Georg Schiemer
English | PDF EPUB (True) | 2024 | 333 Pages | ISBN : 3031421892 | 7.9 MB
This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.

Free Download L. Decock, "Trading Ontology for Ideology: The Interplay of Logic, Set Theory and Semantics in Quine’s Philosophy"
English | 2002 | ISBN: 9048161215 | DJVU | pages: 299 | 3.1 mb
Willard VanOrman Quine has probably been the most influential th American philosopher of the 20 century. His work spans over seven decades, and covers many domains in philosophy. He has made major contributions to the fields of logic and set theory, philosophy of logic and mathematics, philosophy of language, philosophy of science, epistemology and metaphysics. Quine’s first work in philosophy was in the field of logic. His major contributions are the two set-theoretic systems NF (1936) and ML (1940). 1 These systems were alternatives to the type theory of Principia Mathematica or Zermelo’s set theory, and are still being studied by 2 mathematicians. An indirect contribution to the field of logic is his strong resistance to moda110gic. Quine’s objectIons to the notions of necessity and analyticity have influenced the development of moda110gic? Quine has had an enormous influence on philosophy of mathematics. When Quine entered philosophy there was a discussion on the foundations of mathematics between the schools of intuitionism, formalism, and conventionalism. Quine soon took issue with Carnap’s conventionalism in "Truth by convention,,4 (1936). Quine has never joined one of the other schools, but has added new elements that are the basic ones of the 5 contemporary schools of nominalism, platonism, and structuralism. Quine has long been in the shadow of Benacerraf and Putnam in this field. At the moment there seems to be a renewed interest in Quine’s work, and most philosophers explicitly refer to Quine’s work.

Free Download Manish Sharma, "The Logic of Love in the Canterbury Tales"
English | ISBN: 1487509030 | 2022 | 406 pages | PDF | 9 MB
The Logic of Love in The Canterbury Tales argues that Geoffrey Chaucer’s magnum opus draws inventively on the resources of late medieval logic to conceive of love as an "insoluble." Philosophers of the fourteenth century expended great effort to solve insolubilia, like the notorious Liar paradox, in order to decide upon their truth or falsity. For Chaucer, however, and in keeping with Christ’s admonition from the Sermon on the Mount, the lover does not judge – does not decide on – the beloved.

Free Download P. Kawalec, "Structural Reliabilism: Inductive Logic as a Theory of Justification"
English | 2003 | ISBN: 9401039550, 1402010133 | PDF | pages: 205 | 1.4 mb
Kawalec’s monograph is a novel defence of the programme of inductive logic, developed initially by Rudolf Carnap in the 1950s and Jaakko Hintikka in the 1960s. It revives inductive logic by bringing out the underlying epistemology. The main strength of the work is its link between inductive logic and contemporary discussions of epistemology. Through this perspective the author succeeds to shed new light on the significance of inductive logic. The resulting structural reliabilist theory propounds the view that justification supervenes on syntactic and semantic properties of sentences as justification-bearers. The claim is made that this sets up a genuine alternative to the prevailing theories of justification. Kawalec substantiates this claim by confronting structural reliabilism with a number of epistemological problems. Kawalec writes in a clear manner, makes his theses and arguments explicit, and gives ample bibliographical references.

Free Download Jaakko Hintikka, Tadeusz Czarnecki, K. Kijania-Placek, "Philosophy and Logic In Search of the Polish Tradition: Essays in Honour of Jan Woleński on the Occasion of his 60th Birthday"
English | 2003 | ISBN: 9048164710, 1402017219 | DJVU | pages: 317 | 3.6 mb
This volume contains papers on truth, logic, semantics, and history of logic and philosophy. These papers are dedicated to Jan Wolenski to honor his 60th birthday. Jan Wolenski is professor of philosophy at the Department of Philosophy of the Jagiellonian University in Cracow, Poland. He is likely to be the most well-known Polish philosopher of this time, best known for his work on the history of the philosophy and logic of the Lvov-Warsaw School.

Free Download Artur Rojszczak, Jacek Cachro, Gabriel Kurczewski, "Philosophical Dimensions of Logic and Science"
English | 2003 | ISBN: 904816432X, 140201645X | DJVU | pages: 408 | 2.9 mb
This is a collection of outstanding contributed papers presented at the 11th International Congress of Logic, Methodology, and Philosophy of Science (Kraków, 1999). The articles address current issues in logic, metamathematics, philosophy of language, philosophy of science, and cognitive science, as well as philosophical problems of biology, chemistry and physics. The volume will be of interest to philosophers, logicians and scientists interested in foundational problems.