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Author: International Mathematical Union
Publisher:
ISBN:
Category : Infinite
Languages : en
Pages : 370
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Author: International Mathematical Union
Publisher:
ISBN:
Category : Infinite
Languages : en
Pages : 370
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Book Description
Author: International Mathematical Union
Publisher:
ISBN:
Category : Infinite
Languages : de
Pages : 362
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Book Description
![Infinitistic Methods: Proceedings of the Symposium on Foundations of Mathematics, Warsaw, 2-9 September, 1959 [of The] International Mathematical Union and Mathematical Institute of the Polish Academy of Sciences PDF](https://books.google.com/books/content/images/frontcover/nAJWzAEACAAJ?fife=w80-h100)
Author: POLSKA AKADEMIA NAUK. Instytut Matematiczny
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: J.W. Addison
Publisher: Elsevier
ISBN: 1483275345
Category : Mathematics
Languages : en
Pages : 513
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Book Description
Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.
Author: Maria Luisa Dalla Chiara
Publisher: Springer Science & Business Media
ISBN: 9780792343837
Category : Science
Languages : en
Pages : 564
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Book Description
This is the first of two volumes comprising the papers submitted for publication by the invited participants to the Tenth International Congress of Logic, Methodology and Philosophy of Science, held in Florence, August 1995. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited lectures published in the two volumes demonstrate much of what goes on in the fields of the Congress and give the state of the art of current research. The two volumes cover the traditional subdisciplines of mathematical logic and philosophical logic, as well as their interfaces with computer science, linguistics and philosophy. Philosophy of science is broadly represented, too, including general issues of natural sciences, social sciences and humanities. The papers in Volume One are concerned with logic, mathematical logic, the philosophy of logic and mathematics, and computer science.
Author: Witold A. Pogorzelski
Publisher: Springer Science & Business Media
ISBN: 3764385189
Category : Mathematics
Languages : en
Pages : 186
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Book Description
This book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. This approach allows also for a more profound view upon some essential properties of propositional systems. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 362
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Author: W. Gellert
Publisher: Springer Science & Business Media
ISBN: 1468482378
Category : Science
Languages : en
Pages : 815
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Book Description
It is commonplace that in our time science and technology cannot be mastered without the tools of mathematics; but the same applies to an ever growing extent to many domains of everyday life, not least owing to the spread of cybernetic methods and arguments. As a consequence, there is a wide demand for a survey of the results of mathematics, for an unconventional approach that would also make it possible to fill gaps in one's knowledge. We do not think that a mere juxtaposition of theorems or a collection of formulae would be suitable for this purpose, because this would over emphasize the symbolic language of signs and letters rather than the mathematical idea, the only thing that really matters. Our task was to describe mathematical interrelations as briefly and precisely as possible. In view of the overwhelming amount of material it goes without saying that we did not just compile details from the numerous text-books for individual branches: what we were aiming at is to smooth out the access to the specialist literature for as many readers as possible. Since well over 700000 copies of the German edition of this book have been sold, we hope to have achieved our difficult goal. Colours are used extensively to help the reader. Important definitions and groups of formulae are on a yellow background, examples on blue, and theorems on red.
Author: Kuno Lorenz
Publisher: Walter de Gruyter
ISBN: 311020312X
Category : Language Arts & Disciplines
Languages : en
Pages : 241
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Book Description
Papers from more than three decades reflect the development of thinkingover the dialogical framework that shapes verbal expression of comprehending experience and that has to be exhibited in responsible argumentations. With dialogical reconstructions of experience owing to the methodical constructivism of the "Erlangen School" it is possible to uncover the origin of many conceptual oppositions in traditional philosophical talk, like natural vs. artificial/cultural, subjective vs. objective, etc., and to solve philosophical riddles connected with them.
Author: Union mathématique internationale
Publisher:
ISBN:
Category :
Languages : en
Pages : 362
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Book Description
