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Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080955002
Total Pages : 684 pages
Book Rating : 4.0/5 (89 download)
Download or read book Foundational Studies Selected Works written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundational Studies Selected Works
Author : Andrzej Mostowski
Publisher : Elsevier
ISBN 13 : 0444851038
Total Pages : 615 pages
Book Rating : 4.4/5 (448 download)
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.
Author : A. Ehrenfeucht
Publisher : IOS Press
ISBN 13 : 1607502720
Total Pages : 460 pages
Book Rating : 4.6/5 (75 download)
Download or read book Andrzej Mostowski and Foundational Studies written by A. Ehrenfeucht and published by IOS Press. This book was released on 2008-03-06 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andrzej Mostowski was one of the leading 20th century logicians. His legacy is examined in this volume of papers devoted both to his extraordinary scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and human. Professor Mostowski pioneered and mastered many areas of mathematical logic. His contributions spanned set theory, recursion theory, and model theory - the backbone of foundations of mathematics. He is best known of the Kleene-Mostowski and Davis-Mostowski hierarchies of properties of integers reflecting the complexity of their definitions, and of the very elegant concept of a generalized quantifier which inspired and keeps stimulating a stream of deep work on fundamental issues of logics, deduction and reasoning both in mathematics and in computer science, and also of the contributions and excellent lectures on undecidability, unprovability, consistency and independence of various statements in set theory and arithmetic following Gödel, Tarski and Cohen. The overall content of the volume is designed to cover the current main streams in the field. For many years after WWII, especially in the late sixties, till his untimely death in 1975, Warsaw - where he led the centre of foundational studies - was a place where many leading logicians visited, studied, and started their career. Their memories form an important part of this volume, attempting to bring back the extraordinary achievements and personality of Mostowski.
Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080955010
Total Pages : 615 pages
Book Rating : 4.0/5 (89 download)
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
Author : Jan Woleński
Publisher : Springer Nature
ISBN 13 : 3030245365
Total Pages : 392 pages
Book Rating : 4.0/5 (32 download)
Download or read book Semantics and Truth written by Jan Woleński and published by Springer Nature. This book was released on 2020-01-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author : Andrew Carnie
Publisher : John Benjamins Publishing
ISBN 13 : 9027296901
Total Pages : 390 pages
Book Rating : 4.0/5 (272 download)
Download or read book Formal Approaches to Function in Grammar written by Andrew Carnie and published by John Benjamins Publishing. This book was released on 2003-03-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions making up this volume in honor of Eloise Jelinek are written from a formalist perspective that deals with stereotypically functionalist questions about language. Jelinek's pioneering work in formalist syntax has shown that autonomous syntax need not exist in a vacuum. Her work has highlighted the importance of incorporating the effects of discourse and information structure on the syntactic representation. This book aims to invoke Jelinek's work either in substance or spirit. The focus is on Jelinek's influential Pronominal Argument Hypothesis as an "non-configurational" language; the influence of discourse-related interface phenomena on syntactic structure; the syntactic analysis of the grammaticalization; interactions between morphology, phonology and phonetics; and foundational issues about the link between formal grammar and function of language, as well as the methodological issues underlying the different approaches to linguistics.
Author : Roman Murawski
Publisher : Springer
ISBN 13 : 3034808313
Total Pages : 235 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland written by Roman Murawski and published by Springer. This book was released on 2014-08-27 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophical reflection. We try to answer those questions by analyzing both works of Polish logicians and mathematicians who have a philosophical temperament as well as their research practice. Works and philosophical views of the following Polish scientists will be analyzed: Wacław Sierpiński, Zygmunt Janiszewski, Stefan Mazurkiewicz, Stefan Banach Hugo Steinhaus, Eustachy Żylińsk and Leon Chwistek, Jan Łukasiewicz, Zygmunt Zawirski, Stanisław Leśniewski, Tadeusz Kotarbiński, Kazimierz Ajdukiewicz, Alfred Tarski, Andrzej Mostowski and Henryk Mehlberg, Jan Sleszyński, Stanisław Zaremba and Witold Wilkosz. To indicate the background of scientists being active in the 1920s and 1930s we consider in Chapter 1 some predecessors, in particular: Jan Śniadecki, Józef Maria Hoene-Wroński, Samuel Dickstein and Edward Stamm.
Author : Ángel Garrido
Publisher : Birkhäuser
ISBN 13 : 3319654306
Total Pages : 802 pages
Book Rating : 4.3/5 (196 download)
Download or read book The Lvov-Warsaw School. Past and Present written by Ángel Garrido and published by Birkhäuser. This book was released on 2018-06-12 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world. The papers range from historical considerations to new philosophical, logical and mathematical developments of this impressive School, including applications to Computer Science, Mathematics, Metalogic, Scientific and Analytic Philosophy, Theory of Models and Linguistics.
Author : Peter M. Simons
Publisher : Springer Science & Business Media
ISBN 13 : 9401580944
Total Pages : 448 pages
Book Rating : 4.4/5 (15 download)
Download or read book Philosophy and Logic in Central Europe from Bolzano to Tarski written by Peter M. Simons and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: ways of doing it, but it is wrong to project it far into the past: it did not exist at the turn of the century and only became clearly apparent after the Second World War. I recently taught at an American university on the his tory of philosophy from Balzano to Husserl. The course title had to come from a fixed pool and gave trouble. Was it philosophical logic, the nine teenth century, or phenomenology? A logic title would connote over this period Frege, Russell, Carnap, perhaps a mention of Boole: not continental enough. The nineteenth century? The century of Kant's successors: Fichte, Hegel, Schopenhauer, Feuer bach, Marx, Nietzsche? What have they to do with Balzano, Lotze, Brentano, Meinong, Husserl and Twardowski? Even tually 'Phenomenology' was chosen, misdescribing more than half of the course. That illustrates the problems one faces in trying to work against the picture of the period which is ingrained in minds and syllabuses. This book arises from my efforts to combat that picture. I backed into writing about the history of recent philosophy rather than setting out to do so. The beginning was chance. In Manchester in the early seventies, at a time when most English philosophy departments breathed re cycled Oxford air, the intellectual atmosphere derived from Cambridge and Warsaw, spiced with a breath of Freiburg and Paris.
Author : Alessandro Torza
Publisher : Springer
ISBN 13 : 3319183621
Total Pages : 526 pages
Book Rating : 4.3/5 (191 download)
Download or read book Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language written by Alessandro Torza and published by Springer. This book was released on 2015-07-23 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology and even the history of philosophy. It discusses the import of quantifier variance in the model theory of mathematics. It advances an argument for the uniqueness of quantifier meaning in terms of Evert Beth’s notion of implicit definition and clarifies the oldest explicit formulation of quantifier variance: the one proposed by Rudolf Carnap. The volume further examines what it means that a quantifier can have multiple meanings and addresses how existential vagueness can induce vagueness in our modal notions. Finally, the book explores the role played by quantifiers with respect to various kinds of semantic paradoxes, the logicality issue, ontological commitment, and the behavior of quantifiers in intensional contexts.
Author : Juliette Kennedy
Publisher : Cambridge University Press
ISBN 13 : 1009028235
Total Pages : 201 pages
Book Rating : 4.0/5 (9 download)
Download or read book Gödel, Tarski and the Lure of Natural Language written by Juliette Kennedy and published by Cambridge University Press. This book was released on 2020-12-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is mathematics 'entangled' with its various formalisations? Or are the central concepts of mathematics largely insensitive to formalisation, or 'formalism free'? What is the semantic point of view and how is it implemented in foundational practice? Does a given semantic framework always have an implicit syntax? Inspired by what she calls the 'natural language moves' of Gödel and Tarski, Juliette Kennedy considers what roles the concepts of 'entanglement' and 'formalism freeness' play in a range of logical settings, from computability and set theory to model theory and second order logic, to logicality, developing an entirely original philosophy of mathematics along the way. The treatment is historically, logically and set-theoretically rich, and topics such as naturalism and foundations receive their due, but now with a new twist.
Author : Edward Craig
Publisher :
ISBN 13 : 9780415187121
Total Pages : 920 pages
Book Rating : 4.1/5 (871 download)
Download or read book Routledge Encyclopedia of Philosophy written by Edward Craig and published by . This book was released on 1998 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume seven of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.
Author : Thomas Baldwin
Publisher : Cambridge University Press
ISBN 13 : 9780521591041
Total Pages : 986 pages
Book Rating : 4.5/5 (91 download)
Download or read book The Cambridge History of Philosophy 1870-1945 written by Thomas Baldwin and published by Cambridge University Press. This book was released on 2003-11-27 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400959915
Total Pages : 555 pages
Book Rating : 4.4/5 (9 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : Craig Smorynski
Publisher : Springer Science & Business Media
ISBN 13 : 3642754627
Total Pages : 416 pages
Book Rating : 4.6/5 (427 download)
Download or read book Logical Number Theory I written by Craig Smorynski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory as studied by the logician is the subject matter of the book. This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. In addition, its second chapter contains the most complete logical discussion of Diophantine Decision Problems available anywhere, taking the reader right up to the frontiers of research (yet remaining accessible to the undergraduate). The first and third chapters also offer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student's perspective on the subject, and a partially annotated bibliography.
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3662090589
Total Pages : 653 pages
Book Rating : 4.6/5 (62 download)
Download or read book Ω-Bibliography of Mathematical Logic written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 9780792371267
Total Pages : 426 pages
Book Rating : 4.3/5 (712 download)
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2001-07-31 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as weIl as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate at the evolution of logic. This was the time when logic temporal junction was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial pressure to provide devices which help andjor replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
