Alfred Tarski

early work in Poland—geometry and teaching

Andrew McFarland, Joanna McFarland, James T Smith

<p>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.</p><p>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.</p><p><i>Alfred Tarski: Early Work in Poland—Geometry and Teaching </i>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.</p><p/>


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3-18
School, university, strife

McFarland Andrew; McFarland Joanna; Smith James T

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19-30
A contribution to the axiomatics of well-ordered sets (1921)

McFarland Andrew; McFarland Joanna; Smith James T

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31-41
Doctoral research

McFarland Andrew; McFarland Joanna; Smith James T

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45-76
Area, volume, measure

McFarland Andrew; McFarland Joanna; Smith James T

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77-91
On the equivalence of polygons (1924)

McFarland Andrew; McFarland Joanna; Smith James T

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93-123
On decomposition of point sets into respectively congruent parts (1924)

McFarland Andrew; McFarland Joanna; Smith James T

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125-158
Degree of equivalence of polygons

McFarland Andrew; McFarland Joanna; Smith James T

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159-167
Research threads

McFarland Andrew; McFarland Joanna; Smith James T

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171-224
Career and family

McFarland Andrew; McFarland Joanna; Smith James T

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225-227
Congress of mathematicians of Slavic countries (1929)

McFarland Andrew; McFarland Joanna; Smith James T

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229-241
Circumference of a circle (1932)

McFarland Andrew; McFarland Joanna; Smith James T

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243-272
Exercises posed by Tarski

McFarland Andrew; McFarland Joanna; Smith James T

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273-318
Geometry for the third gimnazjum class (1935)

McFarland Andrew; McFarland Joanna; Smith James T

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319-336
Teaching and logic—to the new world

McFarland Andrew; McFarland Joanna; Smith James T

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339-384
Assorted contributions

McFarland Andrew; McFarland Joanna; Smith James T

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385-398
Posthumous publications

McFarland Andrew; McFarland Joanna; Smith James T

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399-409
Biographical studies

McFarland Andrew; McFarland Joanna; Smith James T

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411-420
Research surveys

McFarland Andrew; McFarland Joanna; Smith James T

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