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Author : Uwe Meixner
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)
Download or read book Ontologically Minimal Semantics for Intuitionistic Logic written by Uwe Meixner and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Georg Meggle
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110816245
Total Pages : 576 pages
Book Rating : 4.1/5 (18 download)
Download or read book Logic, Epistemology, Philosophy of Science written by Georg Meggle and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 9401729778
Total Pages : 304 pages
Book Rating : 4.4/5 (17 download)
Download or read book Semantical Investigations in Heyting's Intuitionistic Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be of interest to the intuitionist mathematician. Originally, I intended to include more material in that spirit but I decided against it. There is no coherent body of material to include that builds naturally on the present book. There are some serious results on topological models, second order Beth and Kripke models, theories of types, etc., but it would require further research to be able to present a general theory, possibly using sheaves. That would have postponed pUblication for too long. I would like to dedicate this book to my colleagues, Professors G. Kreisel, M.O. Rabin and D. Scott. I have benefited greatly from Professor Kreisel's criticism and suggestions. Professor Rabin's fun damental results on decidability and undecidability provided the powerful tools used in obtaining the majority of the results reported in this book. Professor Scott's approach to non-classical logics and especially his analysis of the Scott consequence relation makes it possible to present Heyting's logic as a beautiful, integral part of non-classical logics.
Author : Georg Meggle
Publisher : Walter de Gruyter
ISBN 13 : 3110816261
Total Pages : 640 pages
Book Rating : 4.1/5 (18 download)
Download or read book Philosophy of Mind, Practical Philosophy, Miscellanea written by Georg Meggle and published by Walter de Gruyter. This book was released on 2013-05-08 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henry Laycock
Publisher : OUP Oxford
ISBN 13 : 0191535915
Total Pages : 222 pages
Book Rating : 4.1/5 (915 download)
Download or read book Words without Objects written by Henry Laycock and published by OUP Oxford. This book was released on 2006-04-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: A picture of the world as chiefly one of discrete objects, distributed in space and time, has sometimes seemed compelling. It is however one of two main targets of Henry Laycock's book; for it is seriously incomplete. The picture, he argues, leaves no space for stuff like air and water. With discrete objects, we may always ask 'how many?', but with stuff the question has to be 'how much?' Within philosophy, stuff of certain basic kinds is central to the ancient pre-Socratic world-view; but it also constitutes the field of modern chemistry and is a major factor in ecology. Philosophers these days, in general, are unlikely to deny that stuff exists. But they are very likely to deny that it is ('ultimately') to be contrasted with things, and it is on this account that logic and semantics figure largely in the framework of the book. Elementary logic is a logic which takes values for its variables; and these values are precisely distinct individuals or things. Existence is then symbolized in just such terms; and this, it is proposed, creates a pressure for 'reducing' stuff to things. Non-singular expressions, which include words for stuff, 'mass' nouns, and also plural nouns, are 'explicated' as semantically singular. Here then is the second target of the book. The posit that both mass and plural nouns name special categories of objects (set-theoretical 'collections' of objects in the one case, mereological 'parcels' or 'portions' of stuff in the other) represents, so Laycock urges, the imposition of an alien logic upon both the many and the much.
Author :
Publisher : BRILL
ISBN 13 : 9004332960
Total Pages : 428 pages
Book Rating : 4.0/5 (43 download)
Download or read book Essays in Logic and Ontology written by and published by BRILL. This book was released on 2016-08-29 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present essays centered upon the subjects of Formal Ontology and Logical Philosophy. The idea of investigating philosophical problems by means of logical methods was intensively promoted in Torun by the Department of Logic of Nicolaus Copernicus University during last decade. Another aim of this book is to present to the philosophical and logical audience the activities of the Torunian Department of Logic during this decade. The papers in this volume contain the results concerning Logic and Logical Philosophy, obtained within the confines of the projects initiated by the Department of Logic and other research projects in which the Torunian Department of Logic took part.
Author : Ivette Fred-Rivera
Publisher : Oxford University Press
ISBN 13 : 0192510606
Total Pages : 320 pages
Book Rating : 4.1/5 (925 download)
Download or read book Being Necessary written by Ivette Fred-Rivera and published by Oxford University Press. This book was released on 2018-09-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the relationship between ontology and modality - between what there is, and what there could be, must be, or might have been? Bob Hale interwove these two strands of metaphysics throughout his long and distinguished career, putting forward his theses in his book, Necessary Beings: An Essay on Ontology, Modality, and the Relations Between Them (OUP 2013). Hale addressed questions of ontology and modality on a number of fronts: through the development of a Fregean approach to ontology, an essentialist theory of modality, and in his work on neo-logicism in the philosophy of mathematics. The essays in this volume engage with these themes in Hale's work in order to progress our understanding of ontology, modality, and the relations between them. Some directly address questions in modal metaphysics, drawing on ontological concerns, while others raise questions in modal epistemology and of its links to matters of ontology, such as the challenge to give an epistemology of essence. Several essays also engage with questions of what might be called 'modal ontology': the study of whether and what things exist necessarily or contingently. Such issues have an important bearing on the kinds of semantic commitments engendered in logic and mathematics (to the existence of sets, or numbers, or properties, and so on) and the extent to which one's ontology of necessary beings interacts with other plausible assumptions and commitments.
Author : Grigori Mints
Publisher : Springer Science & Business Media
ISBN 13 : 0306469758
Total Pages : 131 pages
Book Rating : 4.3/5 (64 download)
Download or read book A Short Introduction to Intuitionistic Logic written by Grigori Mints and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs. Readers are assumed to be familiar with basic notions of first order logic. One device for making this book short was inventing new proofs of several theorems. The presentation is based on natural deduction. The topics include programming interpretation of intuitionistic logic by simply typed lambda-calculus (Curry-Howard isomorphism), negative translation of classical into intuitionistic logic, normalization of natural deductions, applications to category theory, Kripke models, algebraic and topological semantics, proof-search methods, interpolation theorem. The text developed from materal for several courses taught at Stanford University in 1992-1999.
Author : L. Decock
Publisher : Springer Science & Business Media
ISBN 13 : 9401735751
Total Pages : 282 pages
Book Rating : 4.4/5 (17 download)
Download or read book Trading Ontology for Ideology written by L. Decock and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Terence E. Horgan
Publisher : MIT Press
ISBN 13 : 0262263203
Total Pages : 231 pages
Book Rating : 4.2/5 (622 download)
Download or read book Austere Realism written by Terence E. Horgan and published by MIT Press. This book was released on 2009-08-21 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: A provocative ontological-cum-semantic position asserting that the right ontology is austere in its exclusion of numerous common-sense and scientific posits and that many statements employing such posits are nonetheless true. The authors of Austere Realism describe and defend a provocative ontological-cum-semantic position, asserting that the right ontology is minimal or austere, in that it excludes numerous common-sense posits, and that statements employing such posits are nonetheless true, when truth is understood to be semantic correctness under contextually operative semantic standards. Terence Horgan and Matjaz Potrc argue that austere realism emerges naturally from consideration of the deep problems within the naive common-sense approach to truth and ontology. They offer an account of truth that confronts these deep internal problems and is independently plausible: contextual semantics, which asserts that truth is semantically correct affirmability. Under contextual semantics, much ordinary and scientific thought and discourse is true because its truth is indirect correspondence to the world. After offering further arguments for austere realism and addressing objections to it, Horgan and Potrc consider various alternative austere ontologies. They advance a specific version they call “blobjectivism”—the view that the right ontology includes only one concrete particular, the entire cosmos (“the blobject”), which, although it has enormous local spatiotemporal variability, does not have any proper parts. The arguments in Austere Realism are powerfully made and concisely and lucidly set out. The authors' contentions and their methodological approach—products of a decade-long collaboration—will generate lively debate among scholars in metaphysics, ontology, and philosophy.
Author : Jacek Pasniczek
Publisher : Springer Science & Business Media
ISBN 13 : 9780792348801
Total Pages : 236 pages
Book Rating : 4.3/5 (488 download)
Download or read book The Logic of Intentional Objects written by Jacek Pasniczek and published by Springer Science & Business Media. This book was released on 1997-12-31 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intentionality is one of the most frequently discussed topics in contemporary phenomenology and analytic philosophy. This book investigates intentionality from the point of view of intentional objects. According to the classical approach to this concept, whatever can be consciously experienced is regarded as an intentional object. Thus, not only ordinary existing individuals but also various kinds of non-existents and non-individuals are considered as intentional (including such bizarre entities as quantifier objects: `some dog', `every dog'). Alexius Meinong, an Austrian philosopher, is particularly well-known as the `inventor' of an abundant ontology of objects among which even incomplete and impossible ones, like `the round square', find their place. Drawing inspirations from Meinong's ideas, the author develops a simple logic of intentional objects, M-logic. M-logic closely resembles classical first-order logic and, as opposed to the formally complicated contemporary theories of non-existent objects, it is much more friendly in apprehending and applications. However, despite this resemblance, the ontological content of M-logic far exceeds that of classical logic. In this book formal investigations are intertwined with philosophical analyses. On the one hand, M-logic is used as a tool for investigating formal features of intentional objects. On the other hand, the study of intentionality phenomena suggests further ways of extending and modifying M-logic. Audience: The book is addressed to logicians, cognitive scientists, philosophers of language and metaphysics with either a phenomenological or an analytic background.
Author : Ernest LePore
Publisher : John Wiley & Sons
ISBN 13 : 0631169482
Total Pages : 547 pages
Book Rating : 4.6/5 (311 download)
Download or read book Truth and Interpretation written by Ernest LePore and published by John Wiley & Sons. This book was released on 1986 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regardless of its particular topic, each of Donald Davidson's essays is part of a comprehensive progrqamme to address questions about language, mind and action, and their interconnections. Themes from this larger programme permeate and bind his work on semantics: on the notions of meaning and truth, on theories of truth, reference, logical form and inference, compositionality, 'intentional' operators, indeterminacy, conceptual relativism, skepticism and metaphor. Twenty-eight critical essays, including a substantial introduction to Davidson's philosophy of language, and three essays by Davidson himself, make up this volume. The volume's six sections corespond to the major section of Davidson's inquiries into Truth and Interpretation. Each contains critical essays addressing, interpreting and further develoing his views. The first section, written by the editor, gives an overview of the whole volume, the second section focuses on truth and meaning; the third, applications of Davidson's semantic theory; the fourth, radical interpretation; the fifth, language and reality, and the sixth, limits of the literal.
Author : Dov M. Gabbay
Publisher : Oxford University Press on Demand
ISBN 13 : 0198511744
Total Pages : 524 pages
Book Rating : 4.1/5 (985 download)
Download or read book Interpolation and Definability written by Dov M. Gabbay and published by Oxford University Press on Demand. This book was released on 2005-05-12 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a specialized monograph on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language.Suitable for researchers and graduate students in mathematics, computer science and philosophy, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (second edition), J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and NonmonotonicReasoning, P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2, and David J. Pym and Eike Ritter's Reductive Logic and Proof Search: Proof theory, semantics and control.
Author : Evert Willem Beth
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.3/5 (91 download)
Download or read book Semantic Construction of Intuitionistic Logic written by Evert Willem Beth and published by . This book was released on 1956 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Márcio Moretto Ribeiro
Publisher : Springer Science & Business Media
ISBN 13 : 1447141865
Total Pages : 120 pages
Book Rating : 4.4/5 (471 download)
Download or read book Belief Revision in Non-Classical Logics written by Márcio Moretto Ribeiro and published by Springer Science & Business Media. This book was released on 2012-08-21 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly. Belief revision presents a good theoretical framework for dealing with this problem; however, classical belief revision is not well suited for logics such as Description Logics. Belief Revision in Non-Classical Logics presents a framework which can be applied to a wide class of logics that include – besides most Description Logics such as the ones behind OWL – Horn Logic and Intuitionistic logic, amongst others. The author also presents algorithms for the most important constructions in belief bases. Researchers and practitioners in theoretical computing will find this an invaluable resource.
Author : Andreas Mundt
Publisher : Walter de Gruyter
ISBN 13 : 9783110152548
Total Pages : 536 pages
Book Rating : 4.1/5 (525 download)
Download or read book Analyōmen 2: Philosophy of language, metaphysics written by Andreas Mundt and published by Walter de Gruyter. This book was released on 1997 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alex Citkin
Publisher : MDPI
ISBN 13 : 303943358X
Total Pages : 298 pages
Book Rating : 4.0/5 (394 download)
Download or read book Deductive Systems in Traditional and Modern Logic written by Alex Citkin and published by MDPI. This book was released on 2020-11-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
