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Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080955002
Category : Computers
Languages : en
Pages : 684
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Book Description
Foundational Studies Selected Works
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080955002
Category : Computers
Languages : en
Pages : 684
Get Book Here
Book Description
Foundational Studies Selected Works
Author: A. Ehrenfeucht
Publisher: IOS Press
ISBN: 1607502720
Category : Mathematics
Languages : en
Pages : 460
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Book Description
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: Andrzej Mostowski
Publisher: Elsevier
ISBN: 0444851038
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 615
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Book Description
Provability, Computability and Reflection.
Author: Andrzej Mostowski
Publisher:
ISBN: 9788301012069
Category :
Languages : en
Pages : 635
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Book Description
Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
ISBN: 9780792371267
Category : Philosophy
Languages : en
Pages : 426
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Book Description
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.
Author: Andrew Carnie
Publisher: John Benjamins Publishing
ISBN: 9027296901
Category : Language Arts & Disciplines
Languages : en
Pages : 390
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Book Description
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: Vincent F. Hendricks
Publisher: Springer Science & Business Media
ISBN: 9401735980
Category : Philosophy
Languages : en
Pages : 387
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Book Description
In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.
Author: Alessandro Torza
Publisher: Springer
ISBN: 3319183621
Category : Philosophy
Languages : en
Pages : 526
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Book Description
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:
Publisher: Elsevier
ISBN: 0080930581
Category : Philosophy
Languages : en
Pages : 735
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Book Description
One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics.-Comprehensive coverage of all main theories in the philosophy of mathematics-Clearly written expositions of fundamental ideas and concepts-Definitive discussions by leading researchers in the field-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included
Author: A. J. Cotnoir
Publisher: Oxford University Press
ISBN: 0198749007
Category : Philosophy
Languages : en
Pages : 422
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Book Description
Is a whole something more than the sum of its parts? Are there things composed of the same parts? If you divide an object into parts, and divide those parts into smaller parts, will this process ever come to an end? Can something lose parts or gain new ones without ceasing to be the thing it is? Does any multitude of things (including disparate things such as you, this book, and the tail of a cat) compose a whole of some sort? Questions such as these have occupied us for at least as long as philosophy has existed. They define the field that has come to be known as mereology-the study of all relations of part to whole and of part to part within a whole-and have deep and far-reaching ramifications in metaphysics as well as in logic, the foundations of mathematics, the philosophy of language, the philosophy of science, and beyond. In Mereology, A. J. Cotnoir and Achille C. Varzi have compiled decades of advanced research into a comprehensive, up-to-date, and formally rigorous picture. The early chapters cover the more classical aspects of mereology; the rest of the book deals with variants and extensions. Whether you are an established professional philosopher, an interested student, or a newcomer, inside you will find all the tools you need to join this ever-evolving field of inquiry and theorize about all things mereological.
