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

Author : Roman Murawski
Publisher : Springer
Page : 228 pages
File Size : 40,9 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.

Author : Storrs McCall
Publisher : OUP Oxford
Page : 422 pages
File Size : 41,9 Mb
Release : 1967-08
Category : Mathematics
ISBN : 9780198243045

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Polish Logic, 1920-1939 by Storrs McCall Pdf

Polish Logic 1920-1939

Author : Jan Wolenski
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 43,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401582735

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Philosophical Logic in Poland by Jan Wolenski Pdf

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.

Author : Laurent Mazliak,Rossana Tazzioli
Publisher : Springer Nature
Page : 373 pages
File Size : 42,7 Mb
Release : 2021-03-27
Category : Science
ISBN : 9783030616830

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Mathematical Communities in the Reconstruction After the Great War 1918–1928 by Laurent Mazliak,Rossana Tazzioli Pdf

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.

Author : Francine F. Abeles,Mark E. Fuller
Publisher : Birkhäuser
Page : 258 pages
File Size : 49,8 Mb
Release : 2016-05-26
Category : Mathematics
ISBN : 9783319247564

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Modern Logic 1850-1950, East and West by Francine F. Abeles,Mark E. Fuller Pdf

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.

Author : Ángel Garrido,Urszula Wybraniec-Skardowska
Publisher : Birkhäuser
Page : 815 pages
File Size : 52,6 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.

Author : Martina Becvarova
Publisher : World Scientific
Page : 623 pages
File Size : 41,8 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.

Author : Elizabeth B. White,Joanna Sliwa
Publisher : Simon and Schuster
Page : 336 pages
File Size : 55,8 Mb
Release : 2024-01-23
Category : History
ISBN : 9781982189143

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The Counterfeit Countess by Elizabeth B. White,Joanna Sliwa Pdf

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.

Author : Anna Brożek,Alicja Chybińska,Jacek Jadacki,Jan Woleński
Publisher : BRILL
Page : 366 pages
File Size : 51,8 Mb
Release : 2016-04-08
Category : Philosophy
ISBN : 9789004311763

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Tradition of the Lvov-Warsaw School by Anna Brożek,Alicja Chybińska,Jacek Jadacki,Jan Woleński Pdf

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 : A. Ehrenfeucht,V.W. Marek,M. Srebrny
Publisher : IOS Press
Page : 460 pages
File Size : 51,7 Mb
Release : 2008-03-06
Category : Mathematics
ISBN : 9781607502722

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Andrzej Mostowski and Foundational Studies by A. 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.

Author : Roman Murawski
Publisher : Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
Page : 0 pages
File Size : 44,9 Mb
Release : 2011
Category : Logic
ISBN : 3631618042

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Logos and Máthēma by Roman Murawski Pdf

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.

Author : Rafal Urbaniak
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 52,9 Mb
Release : 2013-09-24
Category : Science
ISBN : 9783319004822

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Leśniewski's Systems of Logic and Foundations of Mathematics by Rafal Urbaniak Pdf

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.​

Author : Thomas Bedürftig,Roman Murawski
Publisher : Walter de Gruyter GmbH & Co KG
Page : 474 pages
File Size : 41,5 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9783110470772

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Philosophy of Mathematics by Thomas Bedürftig,Roman Murawski Pdf

The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection

Author : Kazimierz Ajdukiewicz,Leon Chwistek,Stanisław Jaśkowski,Zbigniew Jordan,Stanisław Leśniewski,Jan Łukasiewicz,Jerzy Słupecki,Bolesław Sobociński,Mordchaj Wajsberg
Publisher : Unknown
Page : 406 pages
File Size : 40,8 Mb
Release : 1967
Category : Electronic
ISBN : OCLC:481094559

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Polish Logic 1920-1939 by Kazimierz Ajdukiewicz,Leon Chwistek,Stanisław Jaśkowski,Zbigniew Jordan,Stanisław Leśniewski,Jan Łukasiewicz,Jerzy Słupecki,Bolesław Sobociński,Mordchaj Wajsberg Pdf

Author : Alain Badiou
Publisher : John Wiley & Sons
Page : 144 pages
File Size : 52,8 Mb
Release : 2017-05-23
Category : Philosophy
ISBN : 9781509512041

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In Praise of Mathematics by Alain Badiou Pdf

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.