Alfred Tarski : Early Work in Poland—Geometry and Teaching / edited by Andrew McFarland, Joanna McFarland, James T. Smith.

Format:

Book

Contributor:

McFarland, Andrew, Editor.

McFarland, Joanna, Editor.

Smith, James T., Editor.

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Mathematics--Study and teaching.

Mathematics.

History.

Geometry.

Mathematical Logic and Foundations.

Mathematics Education.

History of Mathematical Sciences.

Local Subjects:

Mathematical Logic and Foundations.

Mathematics Education.

History of Mathematical Sciences.

Geometry.

Physical Description:

1 online resource (511 p.)

Edition:

1st ed. 2014.

Place of Publication:

New York, NY : Springer New York : Imprint: Birkhäuser, 2014.

Language Note:

English

Summary:

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—Geometry and Teaching 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.

Contents:

1 Tarski’s first paper

1.1 Introduction

1.2 Item 1 below (nearing completion)

2 Papers on equidecomposibility of polygons

2.1 Introduction

2.2 Item 2 below (nearing completion)

2.3 Item 6 below (old translation, needs redoing)

2.4 Item 8 below (old translation, needs redoing)

2.5 Exercise 31pc in item 11g below

3 Papers related to secondary teaching

3.1 Introduction

3.2 Item 4 below (meeting report)

3.3 Item 7 below (on circles, nearing completion)

3.4 Extract from Item 9 below (textbook)

3.5 Remainder of item 11 below (exercises)

4 Assorted contributions

4.1 Introduction

4.2 Item 3 below (on insurance)

4.3 Item 5 below (abstract on truth)

4.4 Item 10 below (Lukasiewicz abstract on definitions)

4.5 Item 12 below (contributions to discussions)

5 Bibliography

5.1 Introduction

5.2 List of Tarski works published since the Collected Works

5.3 List of biographical books and articles

5.4 List of summaries of Tarski’s scientific work

5.5 References for the present book

Illustrations

Young Tarski (frontispiece)

From the first paper

From the 1924 paper

Something from one of the teachers’ journals

Index.

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

ISBN:

1-4939-1474-X