Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. Cantor's method of proof of this theorem implies the existence of an infinity of infinities.
Career Journey
Background
- Born in
- Saint Petersburg
- Educated at
- ETH ZurichMartin Luther University Halle-WittenbergTechnical University of Darmstadt
- Awards
- 🏆 Sylvester Medal
- Doctoral Advisors
- 🎓 Karl Weierstraß🎓 Ernst Kummer
- Doctoral Students
- 📖 Alfred Barneck
Trending & Selected Quotes
Trending topics shown first"In order for there to be a variable quantity in some mathematical study, the domain of its variability must strictly speaking be known beforehand through a definition. However, this domain cannot itse…"
"The old and oft-repeated proposition "Totum est majus sua parte" may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable co…"
"Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand!"
"Infinity, in its first form presents itself as a variable finite ; in the other form it appears as a thoroughly determinate infinite."
Works & Publications
No works or publications documented yet.
Timeline
1845
Born
Birth1918
Died
Death
Influenced By
Thinkers whose ideas shaped Georg's philosophy
Influenced
Thinkers whose work was shaped by Georg's ideas
Source Attribution
Information about Georg Cantor is sourced from curated knowledge bases and cross-referenced for accuracy. Influence relationships are scored by thematic overlap and historical plausibility.
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