Cantor's diagonal argument is a clever proof that there are more real numbers than natural numbers.
康托尔对角线论证是一种巧妙的证明，表明实数的数量多于自然数的数量。
Cantor's set theory has been foundational in the development of modern mathematics.
康托尔集合论在现代数学的发展中起到了基础性作用。
The concept of infinity was greatly expanded by Georg Cantor's work.
无穷的概念在乔治·康托尔的工作中得到了极大的扩展。
Cantor proved that the set of all subsets of a set is larger than the original set.
康托尔证明了所有集合的子集组成的集合比原始集合更大。
Cantor's theorem states that the power set of any set has a strictly greater cardinality than the set itself.
康托尔定理指出，任何集合的幂集的基数严格大于该集合本身的基数。
The idea that some infinities are bigger than others was first proposed by Georg Cantor.
提出有些无穷大比其他的大这一想法的是乔治·康托尔。
Cantor's continuum hypothesis remains one of the most famous unsolved problems in mathematics.
康托尔连续假设仍然是数学中最著名的未解问题之一。
In his work, Cantor introduced the concept of transfinite numbers.
在他的工作中，康托尔引入了超限数的概念。
Cantor's diagonalization process is used to show that the set of real numbers is uncountably infinite.
康托尔的对角化过程被用来展示实数集是不可数无限的。
Cantor's set theory has influenced not only mathematics but also philosophy and other fields.
康托尔集合论不仅影响了数学，还影响了哲学和其他领域。
Kurosawa Kazunori and Osaka Hiroaki, who focus on imaging sensor technology, became the first to get their work permits with the help of Cantor Jungle Incubator at Thursday's summit.
"Foreign foldings of some Chinese financial assets have rapidly increased," said Richard Cantor, chief credit officer at Moody's.
"China has removed the quotas on foreign investors' purchases of domestic stocks and bonds through the QFII and RQFII in September, however, quotas were not used in full in the recent past and other reforms, such as the removal of a 10 percent limit for foreign overshore of A shares, which would be more meaningful to foreign investors," said Cantor.
"The Fed is taking more of a wait-and-see approach," said Justin Lederer, a treasury analyst at Cantor Fitzgerald in New York.
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