Search results
en.wikipedia.org
- Georg Ferdinand Ludwig Philipp Cantor (/ ˈkæntɔːr / KAN-tor; German: [ˈɡeːɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantoːɐ̯]; 3 March [O.S. 19 February] 1845 – 6 January 1918) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics.
www.wikiwand.com › en › articles
Georg Cantor was a Russian-born mathematician who can be considered as the founder of set theory and introduced the concept of infinite numbers with his discovery of cardinal numbers. He also advanced the study of trigonometric series.
People also ask
Who was Georg Cantor?
How did Georg Cantor contribute to mathematics?
What is Cantor's theorem?
Who was Georg Cantor's father?
Died: January 6, 1918 (aged 72) Georg Cantor was a German mathematician who made groundbreaking contributions to the field of set theory and the understanding of infinity.
- Biography
- Meaning of Infinity
- Cantor’s Diagonal Argument
- Aleph Null Or Aleph Nought
The German Georg Cantorwas an outstanding violinist, but an even more outstanding mathematician. He was born in Saint Petersburg, Russia, where he lived until he was eleven. Thereafter, the family moved to Germany, and Cantor received his remaining education at Darmstradt, Zürich, Berlin and (almost inevitably) Göttingen before marrying and settlin...
Cantor’s first ten papers were on number theory, after which he turned his attention to calculus (or analysis as it had become known by this time), solving a difficult open problem on the uniqueness of the representation of a function by trigonometric series. His main legacy, though, is as perhaps the first mathematician to really understand the me...
However, when Cantor considered an infinite series of decimal numbers, which includes irrational numbers like π,eand √2, this method broke down. He used several clever arguments (one being the “diagonal argument” explained in the box on the right) to show how it was always possible to construct a new decimal number that was missing from the origina...
He also showed that they were “non-denumerable” or “uncountable” (i.e. contained more elements than could ever be counted), as opposed to the set of rational numbers which he had shown were technically (even if not practically) “denumerable” or “countable”. In fact, it can be argued that there are an infinite number of irrational numbers in between...
Georg Cantor, a visionary mathematician, defied conventional wisdom, and in doing so, revolutionized our understanding of infinity and mathematical sets. Join us as we uncover the life, groundbreaking accomplishments, and enduring legacy of this mathematical trailblazer.
Sep 10, 2023 · Georg Cantor, a German mathematician, was one of the first to study sets, and he also helped us figure out what infinity means in math.
Georg Cantor put forth the modern theory on infinite sets that revolutionized almost every mathematics field. However, his new ideas also created many dissenters and made him one of the most assailed mathematicians in history.
May 23, 2018 · The mathematician Arthur Schoenflies, when he chronicled Cantor’s “mathematical crisis” over failure to resolve the Continuum Hypothesis in the 1880s, suggested that this no doubt triggered Cantor’s first major breakdown (Schoenflies, 1927).
