Rozprawy Matematyczne

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Rozprawy Matematyczne

Author : Anonim
Publisher : Unknown
Page : 324 pages
File Size : 40,7 Mb
Release : 1990
Category : Mathematics
ISBN : UCSD:31822005504212

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Rozprawy Matematyczne by Anonim Pdf

Dissertationes Mathematicae

Author : Anonim
Publisher : Unknown
Page : 456 pages
File Size : 50,7 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015072702593

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Dissertationes Mathematicae by Anonim Pdf

Fuzzy Chaotic Systems

Author : Zhong Li
Publisher : Springer
Page : 300 pages
File Size : 48,5 Mb
Release : 2006-08-02
Category : Computers
ISBN : 9783540332213

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Fuzzy Chaotic Systems by Zhong Li Pdf

This book presents the fundamental concepts of fuzzy logic and fuzzy control, chaos theory and chaos control. It also provides a definition of chaos on the metric space of fuzzy sets. The book raises many questions and generates a great potential to attract more attention to combine fuzzy systems with chaos theory. In this way it contains important seeds for future scientific research and engineering applications.

Rozprawy Matematyczne

Author : Anonim
Publisher : Unknown
Page : 482 pages
File Size : 45,8 Mb
Release : 1965
Category : Mathematics
ISBN : UOM:39015019297830

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Rozprawy Matematyczne by Anonim Pdf

The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland

Author : Roman Murawski
Publisher : Springer
Page : 228 pages
File Size : 44,6 Mb
Release : 2014-08-27
Category : Mathematics
ISBN : 9783034808316

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The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland by Roman Murawski Pdf

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.

Andrzej Mostowski and Foundational Studies

Author : A. Ehrenfeucht,Andrzej Ehrenfeucht,V.W. Marek,M. Srebrny
Publisher : IOS Press
Page : 460 pages
File Size : 51,9 Mb
Release : 2008-03-06
Category : Mathematics
ISBN : 9781607502722

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Andrzej Mostowski and Foundational Studies by A. Ehrenfeucht,Andrzej Ehrenfeucht,V.W. Marek,M. Srebrny Pdf

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.

Set Theory and Hierarchy Theory

Author : W. Marek,M. Srebrny,A. Zarach
Publisher : Springer
Page : 344 pages
File Size : 53,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540381228

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Set Theory and Hierarchy Theory by W. Marek,M. Srebrny,A. Zarach Pdf

Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses

Author : Martina Becvarova
Publisher : World Scientific
Page : 623 pages
File Size : 51,5 Mb
Release : 2021-05-14
Category : Mathematics
ISBN : 9781786349323

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Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses by Martina Becvarova Pdf

The Development of Mathematics Between the World Wars traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.World War I heavily affected academic life. In European countries, many talented researchers and students were killed in action and scientific activities were halted to resume only in the postwar years. However, this inhibition turned out to be a catalyst for the birth of a new generation of mathematicians, for the emergence of new ideas and theories and for the surprising creation of new and outstanding scientific schools.The final four chapters are not restricted to Central and Eastern Europe and deal with the development of mathematics between World War I and World War II. After describing the general state of mathematics at the end of the 19th century and the first third of the 20th century, three case studies dealing with selected mathematical disciplines are presented (set theory, potential theory, combinatorics), in a way accessible to a broad audience of mathematicians as well as historians of mathematics.

Handbook of Philosophical Logic

Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 48,8 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401704526

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Handbook of Philosophical Logic by Dov M. Gabbay,Franz Guenthner Pdf

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.

Boolean Algebras

Author : Roman Sikorski
Publisher : Springer
Page : 245 pages
File Size : 45,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783662015070

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Boolean Algebras by Roman Sikorski Pdf

There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the develop ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [IJ. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs.

Provability, Computability and Reflection

Author : Lev D. Beklemishev
Publisher : Elsevier
Page : 634 pages
File Size : 49,7 Mb
Release : 2000-04-01
Category : Mathematics
ISBN : 0080955002

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Provability, Computability and Reflection by Lev D. Beklemishev Pdf

Provability, Computability and Reflection

Pearls from a Lost City

Author : Roman Duda
Publisher : American Mathematical Society
Page : 231 pages
File Size : 43,5 Mb
Release : 2014-08-07
Category : Mathematics
ISBN : 9781470410766

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Pearls from a Lost City by Roman Duda Pdf

The fame of the Polish school at Lvov rests with the diverse and fundamental contributions of Polish mathematicians working there during the interwar years. In particular, despite material hardship and without a notable mathematical tradition, the school made major contributions to what is now called functional analysis. The results and names of Banach, Kac, Kuratowski, Mazur, Nikodym, Orlicz, Schauder, Sierpiński, Steinhaus, and Ulam, among others, now appear in all the standard textbooks. The vibrant joie de vivre and singular ambience of Lvov's once scintillating social scene are evocatively recaptured in personal recollections. The heyday of the famous Scottish Café--unquestionably the most mathematically productive cafeteria of all time--and its precious Scottish Book of highly influential problems are described in detail, revealing the special synergy of scholarship and camaraderie that permanently elevated Polish mathematics from utter obscurity to global prominence. This chronicle of the Lvov school--its legacy and the tumultuous historical events which defined its lifespan--will appeal equally to mathematicians, historians, or general readers seeking a cultural and institutional overview of key aspects of twentieth-century Polish mathematics not described anywhere else in the extant English-language literature.

The Lvov-Warsaw School. Past and Present

Author : Ángel Garrido,Urszula Wybraniec-Skardowska
Publisher : Birkhäuser
Page : 815 pages
File Size : 49,7 Mb
Release : 2018-06-12
Category : Mathematics
ISBN : 9783319654300

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The Lvov-Warsaw School. Past and Present by Ángel Garrido,Urszula Wybraniec-Skardowska Pdf

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.

The Lvov-Warsaw School and Contemporary Philosophy

Author : K. Kijania-Placek,Jan Wolenski
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401151085

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The Lvov-Warsaw School and Contemporary Philosophy by K. Kijania-Placek,Jan Wolenski Pdf

This collection celebrates the centenary of the Lvov-Warsaw school, established by Kazimierz Twardowski in Lvov in 1895. This school belongs to analytic philosophy and successfully worked in all branches of philosophy. The Warsaw school of logic became perhaps the most important part of Twardowski's heritage. Lesniewski, Lukasiewicz and Tarski, leading Polish logicians, achieved results which essentially influenced the development of contemporary logic. A close connection of logic and philosophy was a typical feature of the Lvov-Warsaw school. The papers included in the collection deal with all directions of research undertaken by Polish analytic philosophers. Special attention is paid to logic and comparisons with other philosophical movements, particularly with Brentanism, which was one of the sources of the Lvov-Warsaw school.