What is Cantor's diagonal argument?
Q: What is Cantor's diagonal argument?
A: Cantor's diagonal argument is a mathematical method to prove that two infinite sets have the same cardinality.
Q: When did Cantor publish articles on his diagonal argument?
A: Cantor published articles on his diagonal argument in 1877, 1891 and 1899.
Q: Where was Cantor's first proof of the diagonal argument published?
A: Cantor's first proof of the diagonal argument was published in 1890 in the journal of the German Mathematical Society (Deutsche Mathematiker-Vereinigung).
Q: According to Cantor, when do two sets have the same cardinality?
A: According to Cantor, two sets have the same cardinality if it is possible to associate an element from the second set to each element of the first set, and to associate an element of the first set to each element of the second set.
Q: Does Cantor's statement on cardinality work well for sets with a finite number of elements?
A: Yes, Cantor's statement works well for sets with a finite number of elements.
Q: Is Cantor's statement on cardinality intuitive for sets with an infinite number of elements?
A: No, Cantor's statement on cardinality is less intuitive for sets with an infinite number of elements.
Q: How many times did Cantor publish articles on his diagonal argument?
A: Cantor published articles on his diagonal argument three times – in 1877, 1891 and 1899.
