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Author : Anita Burdman Feferman
Publisher : Cambridge University Press
Page : 442 pages
File Size : 36,56 MB
Release : 2004-10-04
Category : Mathematics
ISBN : 9780521802406
Publisher Description
Author : Alfred Tarski
Publisher : Hackett Publishing
Page : 542 pages
File Size : 26,69 MB
Release : 1983-01-01
Category : Philosophy
ISBN : 9780915144761
Author : Douglas Patterson
Publisher : Springer
Page : 273 pages
File Size : 28,26 MB
Release : 2012-02-10
Category : Mathematics
ISBN : 0230367224
This study looks to the work of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all of the major issues in Tarski scholarship in light of the conception of Intuitionistic Formalism developed: semantics, truth, paradox, logical consequence.
Author : Alfred Tarski
Publisher : Courier Corporation
Page : 271 pages
File Size : 18,80 MB
Release : 2013-07-04
Category : Mathematics
ISBN : 0486318893
This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
Author : Monika Gruber
Publisher : Springer
Page : 197 pages
File Size : 47,91 MB
Release : 2016-09-02
Category : Philosophy
ISBN : 3319326163
This book provides a detailed commentary on the classic monograph by Alfred Tarski, and offers a reinterpretation and retranslation of the work using the original Polish text and the English and German translations. In the original work, Tarski presents a method for constructing definitions of truth for classical, quantificational formal languages. Furthermore, using the defined notion of truth, he demonstrates that it is possible to provide intuitively adequate definitions of the semantic notions of definability and denotation and that the notion in a structure can be defined in a way that is analogous to that used to define truth. Tarski’s piece is considered to be one of the major contributions to logic, semantics, and epistemology in the 20th century. However, the author points out that some mistakes were introduced into the text when it was translated into German in 1935. As the 1956 English version of the work was translated from the German text, those discrepancies were carried over in addition to new mistakes. The author has painstakingly compared the three texts, sentence-by-sentence, highlighting the inaccurate translations, offering explanations as to how they came about, and commenting on how they have influenced the content and suggesting a correct interpretation of certain passages. Furthermore, the author thoroughly examines Tarski’s article, offering interpretations and comments on the work.
Author : Andrew McFarland
Publisher : Springer
Page : 511 pages
File Size : 23,8 MB
Release : 2014-08-11
Category : Mathematics
ISBN : 149391474X
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.
Author : Alfred Taraski
Publisher :
Page : 0 pages
File Size : 23,63 MB
Release : 1965
Category : Arithmetic
ISBN :
Author : Alfred Tarski
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 50,47 MB
Release : 1987
Category : Mathematics
ISBN : 0821810413
Culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. This work shows that set theory and number theory can be developed within the framework of a new, different and simple equational formalism, closely related to the formalism of the theory of relation algebras.
Author : Alfred Tarski
Publisher : Birkhäuser
Page : 0 pages
File Size : 50,39 MB
Release : 2019-01-01
Category : Mathematics
ISBN : 9783319953656
Alfred Tarski was one of the two giants of the twentieth-century development of logic, along with Kurt Goedel. The four volumes of this collection contain all of Tarski's papers and abstracts published during his lifetime, as well as a comprehensive bibliography. Here will be found many of the works, spanning the period 1921 through 1979, which are the bedrock of contemporary areas of logic, whether in mathematics or philosophy. These areas include the theory of truth in formalized languages, decision methods and undecidable theories, foundations of geometry, set theory, and model theory, algebraic logic, and universal algebra.
Author : Leonard M. Wapner
Publisher : CRC Press
Page : 233 pages
File Size : 19,22 MB
Release : 2005-04-29
Category : Mathematics
ISBN : 1439864845
Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.