The Philosophy Of Mathematics And Logic In The 1920s And 1930s In Poland

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

Author : Roman Murawski
Publisher : Springer
ISBN 13 : 3034808313
Total Pages : 228 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland by : Roman Murawski

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 228 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.

Polish Logic, 1920-1939

Author : Storrs McCall
Publisher : OUP Oxford
ISBN 13 : 0198243049
Total Pages : 422 pages
Book Rating : 4.1/5 (982 download)

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Book Synopsis Polish Logic, 1920-1939 by : Storrs McCall

Download or read book Polish Logic, 1920-1939 written by Storrs McCall and published by OUP Oxford. This book was released on 1967-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polish Logic 1920-1939

Philosophical Logic in Poland

Author : Jan Wolenski
Publisher : Springer Science & Business Media
ISBN 13 : 9401582734
Total Pages : 363 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Philosophical Logic in Poland by : Jan Wolenski

Download or read book Philosophical Logic in Poland written by Jan Wolenski and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poland has played an enormous role in the development of mathematical logic. Leading Polish logicians, like Lesniewski, Lukasiewicz and Tarski, produced several works related to philosophical logic, a field covering different topics relevant to philosophical foundations of logic itself, as well as various individual sciences. This collection presents contemporary Polish work in philosophical logic which in many respects continue the Polish way of doing philosophical logic. This book will be of interest to logicians, mathematicians, philosophers, and linguists.

Mathematical Communities in the Reconstruction After the Great War 1918–1928

Author : Laurent Mazliak
Publisher : Springer Nature
ISBN 13 : 3030616835
Total Pages : 373 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Mathematical Communities in the Reconstruction After the Great War 1918–1928 by : Laurent Mazliak

Download or read book Mathematical Communities in the Reconstruction After the Great War 1918–1928 written by Laurent Mazliak and published by Springer Nature. This book was released on 2021-03-27 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a consequence of the international meeting organized in Marseilles in November 2018 devoted to the aftermath of the Great War for mathematical communities. It features selected original research presented at the meeting offering a new perspective on a period, the 1920s, not extensively considered by historiography. After 1918, new countries were created, and borders of several others were modified. Territories were annexed while some countries lost entire regions. These territorial changes bear witness to the massive and varied upheavals with which European societies were confronted in the aftermath of the Great War. The reconfiguration of political Europe was accompanied by new alliances and a redistribution of trade – commercial, intellectual, artistic, military, and so on – which largely shaped international life during the interwar period. These changes also had an enormous impact on scientific life, not only in practice, but also in its organization and communication strategies. The mathematical sciences, which from the late 19th century to the 1920s experienced a deep disciplinary evolution, were thus facing a double movement, internal and external, which led to a sustainable restructuring of research and teaching. Concomitantly, various areas such as topology, functional analysis, abstract algebra, logic or probability, among others, experienced exceptional development. This was accompanied by an explosion of new international or national associations of mathematicians with for instance the founding, in 1918, of the International Mathematical Union and the controversial creation of the International Research Council. Therefore, the central idea for the articulation of the various chapters of the book is to present case studies illustrating how in the aftermath of the war, many mathematicians had to organize their personal trajectories taking into account the evolution of the political, social and scientific environment which had taken place at the end of the conflict.

Modern Logic 1850-1950, East and West

Author : Francine F. Abeles
Publisher : Birkhäuser
ISBN 13 : 3319247565
Total Pages : 258 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Modern Logic 1850-1950, East and West by : Francine F. Abeles

Download or read book Modern Logic 1850-1950, East and West written by Francine F. Abeles and published by Birkhäuser. This book was released on 2016-05-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by Charles Sanders Peirce. Anellis’s association with the Russian logic community introduced their school of logic to a wider audience in the USA, Canada and Western Europe. In addition, the collection takes a historical perspective on proof theory and the development of logic and mathematics in Eastern Logic, the Soviet Union and Russia. The book will be of interest to historians and philosophers in logic and mathematics, and the more specialized papers will also appeal to mathematicians and logicians.

The Lvov-Warsaw School. Past and Present

Author : Ángel Garrido
Publisher : Birkhäuser
ISBN 13 : 3319654306
Total Pages : 815 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Lvov-Warsaw School. Past and Present by : Ángel Garrido

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 815 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.

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

Author : Martina Becvarova
Publisher : World Scientific
ISBN 13 : 1786349329
Total Pages : 623 pages
Book Rating : 4.7/5 (863 download)

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

Download or read book Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses written by Martina Becvarova and published by World Scientific. This book was released on 2021-05-14 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logos and Máthēma

Author : Roman Murawski
Publisher : Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
ISBN 13 : 9783631618042
Total Pages : 0 pages
Book Rating : 4.6/5 (18 download)

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Book Synopsis Logos and Máthēma by : Roman Murawski

Download or read book Logos and Máthēma written by Roman Murawski and published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains twenty essays devoted to the philosophy of mathematics and the history of logic. They have been divided into four parts: general philosophical problems of mathematics, Hilbert's program vs. the incompleteness phenomenon, philosophy of mathematics in Poland, mathematical logic in Poland. Among considered problems are: epistemology of mathematics, the meaning of the axiomatic method, existence of mathematical objects, distinction between proof and truth, undefinability of truth, Gödel's theorems and computer science, philosophy of mathematics in Polish mathematical and logical schools, beginnings of mathematical logic in Poland, contribution of Polish logicians to recursion theory.

The Counterfeit Countess

Author : Elizabeth B. White
Publisher : Simon and Schuster
ISBN 13 : 1982189142
Total Pages : 336 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis The Counterfeit Countess by : Elizabeth B. White

Download or read book The Counterfeit Countess written by Elizabeth B. White and published by Simon and Schuster. This book was released on 2024-01-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The astonishing story of Dr. Josephine Janina Mehlberg—a Jewish mathematician who saved thousands of lives in Nazi-occupied Poland by masquerading as a Polish aristocrat—drawing on Mehlberg’s own unpublished memoir. World War II and the Holocaust have given rise to many stories of resistance and rescue, but The Counterfeit Countess is unique. It tells the remarkable, unknown story of “Countess Janina Suchodolska,” a Jewish woman who rescued more than 10,000 Poles imprisoned by Poland’s Nazi occupiers. Mehlberg operated in Lublin, Poland, headquarters of Aktion Reinhard, the SS operation that murdered 1.7 million Jews in occupied Poland. Using the identity papers of a Polish aristocrat, she worked as a welfare official while also serving in the Polish resistance. With guile, cajolery, and steely persistence, the “Countess” persuaded SS officials to release thousands of Poles from the Majdanek concentration camp. She won permission to deliver food and medicine—even decorated Christmas trees—for thousands more of the camp’s prisoners. At the same time, she personally smuggled supplies and messages to resistance fighters imprisoned at Majdanek, where 63,000 Jews were murdered in gas chambers and shooting pits. Incredibly, she eluded detection, and ultimately survived the war and emigrated to the US. Drawing on the manuscript of Mehlberg’s own unpublished memoir, supplemented with prodigious research, Elizabeth White and Joanna Sliwa, professional historians and Holocaust experts, have uncovered the full story of this remarkable woman. They interweave Mehlberg’s sometimes harrowing personal testimony with broader historical narrative. Like The Light of Days, Schindler’s List, and Irena’s Children, The Counterfeit Countess is an unforgettable account of inspiring courage in the face of unspeakable cruelty.

Andrzej Mostowski and Foundational Studies

Author : Andrzej Mostowski
Publisher : IOS Press
ISBN 13 : 158603782X
Total Pages : 460 pages
Book Rating : 4.5/5 (86 download)

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Book Synopsis Andrzej Mostowski and Foundational Studies by : Andrzej Mostowski

Download or read book Andrzej Mostowski and Foundational Studies written by Andrzej Mostowski and published by IOS Press. This book was released on 2008 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andrzej Mostowski was one of the leading 20th century logicians. This volume examines his legacy, devoted both to his scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and person. It includes the bibliography of Mostowski's writings.

Leśniewski's Systems of Logic and Foundations of Mathematics

Author : Rafal Urbaniak
Publisher : Springer Science & Business Media
ISBN 13 : 3319004824
Total Pages : 229 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Leśniewski's Systems of Logic and Foundations of Mathematics by : Rafal Urbaniak

Download or read book Leśniewski's Systems of Logic and Foundations of Mathematics written by Rafal Urbaniak and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.

Tradition of the Lvov-Warsaw School

Author : Anna Brożek
Publisher : BRILL
ISBN 13 : 9004311769
Total Pages : 366 pages
Book Rating : 4.0/5 (43 download)

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Book Synopsis Tradition of the Lvov-Warsaw School by : Anna Brożek

Download or read book Tradition of the Lvov-Warsaw School written by Anna Brożek and published by BRILL. This book was released on 2016-04-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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”.

The Adventure of Reason

Author : Paolo Mancosu
Publisher : OUP Oxford
ISBN 13 : 0191021997
Total Pages : 632 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis The Adventure of Reason by : Paolo Mancosu

Download or read book The Adventure of Reason written by Paolo Mancosu and published by OUP Oxford. This book was released on 2014-01-09 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.

Alfred Tarski

Author : Andrew McFarland
Publisher : Springer
ISBN 13 : 149391474X
Total Pages : 511 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Alfred Tarski by : Andrew McFarland

Download or read book Alfred Tarski written by Andrew McFarland and published by Springer. This book was released on 2014-08-11 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alfred Tarski (1901–1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra. Throughout his career, he taught mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now. This self-contained book focuses on Tarski’s early contributions to geometry and mathematics education, including the famous Banach–Tarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy. These themes are significant since Tarski’s later research on geometry and its foundations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations and much newly uncovered social background of these works written during Tarski’s years in Poland. Alfred Tarski: Early Work in Poland serves the mathematical, educational, philosophical and historical communities by publishing Tarski’s early writings in a broadly accessible form, providing background from archival work in Poland and updating Tarski’s bibliography. A list of errata can be found on the author Smith’s personal webpage.

In Praise of Mathematics

Author : Alain Badiou
Publisher : John Wiley & Sons
ISBN 13 : 1509512047
Total Pages : 144 pages
Book Rating : 4.5/5 (95 download)

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Book Synopsis In Praise of Mathematics by : Alain Badiou

Download or read book In Praise of Mathematics written by Alain Badiou and published by John Wiley & Sons. This book was released on 2017-05-23 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it’s not worth an hour of trouble? What possible relationship can there be between mathematics and happiness? That is precisely the issue at stake in this dialogue, which serves as a very accessible introduction to what mathematics is and an exploration of the crucial influence it has always exerted on the greatest philosophers. Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

Metaliterary Layers in Finnish Literature

Author : Samuli Hägg
Publisher : Suomalaisen Kirjallisuuden Seura
ISBN 13 : 9522228044
Total Pages : 208 pages
Book Rating : 4.5/5 (222 download)

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Book Synopsis Metaliterary Layers in Finnish Literature by : Samuli Hägg

Download or read book Metaliterary Layers in Finnish Literature written by Samuli Hägg and published by Suomalaisen Kirjallisuuden Seura. This book was released on 2009-01-09 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: In international research, metafictionality and other metaliterary features have typically been regarded as phenomena related to postmodernist fiction, in particular – Metaliterary Layers in Finnish Literature, however, discusses the metalayers of Finnish literature from the early 20th century to the present. By analyzing different genres of Finnish literature in varying historical contexts Metaliterary Layers in Finnish Literature provides an abundance of new information on Finnish literature and its metaliterary phenomena for everyone interested. In the articles of this book, the metalayers of literature are discussed in experimental prose and poetry as well as in popular fiction and children’s literature.

Philosophy of Mathematics in the Twentieth Century

Author : Charles Parsons
Publisher : Harvard University Press
ISBN 13 : 0674419502
Total Pages : 331 pages
Book Rating : 4.6/5 (744 download)

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Book Synopsis Philosophy of Mathematics in the Twentieth Century by : Charles Parsons

Download or read book Philosophy of Mathematics in the Twentieth Century written by Charles Parsons and published by Harvard University Press. This book was released on 2014-03-17 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century. Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl’s idea of a “vicious circle” in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell’s mathematical logic—Gödel’s first mature philosophical statement and an avowal of his Platonistic view. Philosophy of Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine’s early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons attempts to tease out Putnam’s views on existence and ontology, especially in relation to logic and mathematics. Wang’s contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are examined, as are Tait’s axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures.