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· Cantor was the first mathematician to put a firm logical foundation for the term "infinity," and described a way to do arithmetic with infinite quantities useful to mathematics. He stated that a collection is infinite, if some of its parts are as big as the whole. Cantor also was able to demonstrate that there are different sizes of infinity.
· Cantor revolutionized the foundation of mathematics with set theory.
o One to One Correspondence: He showed that you could make a one-to-one correspondence between the natural numbers
§ (1, 2, 3, 4, ... } and the integers (..., -3, -2, -1, 0, 1, 2, 3 ...}
o Continuum Hypothesis: The cardinality of the set of all subsets of any set is strictly greater than the cardinality of the set
o For any set A, cardinality(powerset(A))>carinality(A)
· Transfinite numbers
o Used to count the number of integers and the number of real numbers
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Mathematician who was fascinated with infinite numbers?
georg cantor
How did Georg Cantor die?
he ate too much and died of diebetes
Who is the father of Set Theory?
I believe it's Georg Cantor (1845 - 1918).
Who founded set theory?
Set theory was founded by Georg Cantor in 1873.
Who does the set theory explain about sets?
Who: Basically, the set theory was developed by Georg Cantor.
What did Georg Cantor do in math?
he loved to do set theory
What is Georg Cantor's birthday?
Georg Cantor was born on March 3, 1845.
When was Georg Cantor born?
Georg Cantor was born on March 3, 1845.
When was Georg-Cantor-Gymnasium created?
Georg-Cantor-Gymnasium was created in 1989.
What did Georg cantor do to become famous?
Georg Cantor became famous for his revolutionary work in set theory. He developed the concept of different sizes of infinite sets and proved that there are more real numbers than natural numbers. Cantor's work laid the foundation for modern mathematics and had a profound impact on fields such as analysis and topology.
Why is Georg Cantor famous?
because he made up a theory and did lots of new math problem and ways to answer it
What was Georg Cantor's Wife's name?
Georg Cantor's wife's name was Vally Guttmann. She supported his work and they had a lasting marriage until Georg Cantor's death in 1918.
How old was Georg Cantor at death?
Georg Cantor died on January 6, 1918 at the age of 72.
What nationality was Georg Cantor?
Mathematician Georg Cantor was a German, though he was born in St. Petersburg in the Russian Empire.
How old is Georg Cantor?
Georg Cantor was born on March 3, 1845 and died on January 6, 1918. Georg Cantor would have been 72 years old at the time of death or 170 years old today.
Who is Georg Cantor?
Georg Cantor was a mathematician best known for inventing the "set theory", which has become a fundamental theory in mathematics. He was born in March 1845 In Russia, and died in January 1918 in Germany.
Who Proposed the concept of different infinities?
Georg Cantor
