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Georg Cantor

Georg Cantor

Mathematician

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Quick Facts

Set Theory
Transfinite Numbers
Continuum Hypothesis

Infinity has sizes. Mathematician who proved some infinities are bigger than others.

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Life Journey

1845Born in St. Petersburg, Russian Empire

Georg Ferdinand Ludwig Philipp Cantor was born to a German family in St. Petersburg, Russian Empire. His father, a merchant, and his mother, a musician, provided a culturally rich environment for young Georg.

1856Moved to Germany with Family

The Cantor family moved to Wiesbaden, Germany, to escape the harsh Russian winters. This move marked the beginning of Georg's formal education in Germany.

1860Enrolled at the Wiesbaden Gymnasium

Cantor began his secondary education at the Wiesbaden Gymnasium, where he excelled in mathematics and showed a particular interest in trigonometry and number theory.

1862Studied at the Polytechnic of Zurich

Cantor enrolled at the Polytechnic of Zurich (now ETH Zurich) to study engineering, but his passion for mathematics soon led him to focus on that field.

1867Obtained Doctorate from the University of Berlin

Cantor completed his doctorate at the University of Berlin under the supervision of Ernst Kummer and Karl Weierstrass, with a thesis on number theory.

1869Appointed to the University of Halle

Cantor accepted a position as a lecturer at the University of Halle, where he would spend the majority of his academic career, eventually becoming a full professor.

1874Published First Paper on Set Theory

Cantor's groundbreaking paper, 'On a Property of the Collection of All Real Algebraic Numbers,' introduced the concept of one-to-one correspondence and the idea of infinite sets.

1884Suffered First Mental Breakdown

Cantor experienced his first documented mental breakdown, which was likely exacerbated by the intense criticism and lack of acceptance of his work in the mathematical community.

1895Introduced the Continuum Hypothesis

Cantor proposed the Continuum Hypothesis, which posits that there is no set whose cardinality is strictly between that of the integers and the real numbers.

1918Died in Halle, Germany

Georg Cantor died in the psychiatric hospital in Halle, Germany, after a long struggle with mental health issues. His work on set theory and the infinite would later be recognized as foundational in modern mathematics.

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