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Author : Lev D. Beklemishev
Publisher : Elsevier
Page : 634 pages
File Size : 48,5 Mb
Release : 2000-04-01
Category : Mathematics
ISBN : 0080955002
Provability, Computability and Reflection
Author : A. Ehrenfeucht,V.W. Marek,M. Srebrny
Publisher : IOS Press
Page : 460 pages
File Size : 47,7 Mb
Release : 2008-03-06
Category : Mathematics
ISBN : 9781607502722
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 : Unknown
Page : 190 pages
File Size : 53,9 Mb
Release : 1966
Category : Logic, Symbolic and mathematical
ISBN : UOM:39015038906957
Author : Andrzej Mostowski,Kazimierz Kuratowski
Publisher : Elsevier
Page : 615 pages
File Size : 46,9 Mb
Release : 1979
Category : Logic, Symbolic and mathematical
ISBN : 9780444851031
Provability, Computability and Reflection.
Author : Golshan Javadian,Vishal K. Gupta,Dev K. Dutta,Grace Chun Guo,Arturo E. Osorio,Banu Ozkazanc-Pan
Publisher : Springer
Page : 274 pages
File Size : 53,9 Mb
Release : 2018-04-23
Category : Business & Economics
ISBN : 9783319735283
This book draws attention to the classic, seminal articles in entrepreneurship that have made profound contributions to the field’s emergence, development, and maturity. In each chapter, a classic is identified, ideas contained therein that are still relevant to the field are discussed, and subsequently follow-up research that is being conducted based on these ideas is highlighted, including possible areas of future research. Scholars will embrace this systematic effort to identify and reveal the contribution of classic articles in entrepreneurship research and their impact on subsequent scholarship.
Author : Giovanni Sommaruga
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 42,5 Mb
Release : 2011-03-24
Category : Mathematics
ISBN : 9789400704312
The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.
Author : Vincent F. Hendricks,Jacek Malinowski
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 48,8 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401735988
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 : Edward Craig
Publisher : Unknown
Page : 920 pages
File Size : 51,6 Mb
Release : 1998
Category : Philosophy
ISBN : 0415187125
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 : Ángel Garrido,Urszula Wybraniec-Skardowska
Publisher : Birkhäuser
Page : 815 pages
File Size : 40,6 Mb
Release : 2018-06-12
Category : Mathematics
ISBN : 9783319654300
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 : Jan Woleński
Publisher : Springer Nature
Page : 392 pages
File Size : 45,5 Mb
Release : 2020-01-01
Category : Philosophy
ISBN : 9783030245368
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 : Anna Brożek,Alicja Chybińska,Jacek Jadacki,Jan Woleński
Publisher : BRILL
Page : 366 pages
File Size : 46,7 Mb
Release : 2016-04-08
Category : Philosophy
ISBN : 9789004311763
The volume aims to show the variety of research currents of the Lvov-Warsaw School and the ways in which these currents are developed today. The content of the book is divided into three parts: “Logic and Semiotics”, “Metaphysics and Ontology”, and “Psychology and Sociology”.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 55,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9789400959910
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 : Jan Wolenski
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400925816
The Lvov-Warsaw School was active in all spheres of philosophy. Its members worked in the border area between philosophy and disci plines such as psychology, linguistics, and literary theory. But its most important achievements were without doubt in logic and philosophical analysis based on logic. The present book is concerned with fields to which the Lvov-Warsaw School made its most important and famous contributions. Data on the School as a whole are included only in the first and last part of the book. This work is based on my monograph (1985), which appeared in Polish. But it is not merely a translation, because some fragments of the Polish version have been omitted (e. g., the chapter on ethics), and some have been revised. Many persons helped me in my work on the book in Polish as well as on the present edition. I must first mention the late Izydora D~mbska, to whom this book is dedicated. On various detailed issues I have availed myself of advice and information given to me by Stefan Amsterdamski, Zdzislaw Augustynek, Kazimierz Czarnota, Henryk Hii, Boleslaw Iwanus, Jacek Jadacki, Jacek KabziIiski, Stanislaw Kiczuk, Tomasz Komendzinski, Janina Kotarbinska, Czeslaw Lejewski, Jerzy Perzanowski, Marian Przet~cki, the late Jerzy Slupecki, Klemens Szaniawski, Stefan Zamecki, Zbigniew Zwinogrodzki i Jan Zygmunt. I am indebted to Jaakko Hintikka for suggesting that my book be trans lated into English and published by Reidel. Olgierd Wojtasiewicz helped me to prepare the English text.
Author : Roman Kossak
Publisher : Springer
Page : 186 pages
File Size : 49,7 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9783319972985
This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions. Its first part, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. The exposition does not assume any prerequisites; it is rigorous, but as informal as possible. All necessary concepts are introduced exactly as they would be in a course in mathematical logic; but are accompanied by more extensive introductory remarks and examples to motivate formal developments. The second part, Relations, Structures, Geometry, introduces several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions, and shows how they are used to study and classify mathematical structures. Although more advanced, this second part is accessible to the reader who is either already familiar with basic mathematical logic, or has carefully read the first part of the book. Classical developments in model theory, including the Compactness Theorem and its uses, are discussed. Other topics include tameness, minimality, and order minimality of structures. The book can be used as an introduction to model theory, but unlike standard texts, it does not require familiarity with abstract algebra. This book will also be of interest to mathematicians who know the technical aspects of the subject, but are not familiar with its history and philosophical background.
Author : Roman Murawski
Publisher : Springer
Page : 228 pages
File Size : 42,9 Mb
Release : 2014-08-27
Category : Mathematics
ISBN : 9783034808316
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.