How to use in-sentence of “Set theory”:
– This was a serious problem, and it meant that the old set theory was broken.
– Ernst Zermelo proposed a theory of set theory in 1908.
– The self-considering objects in set theory was considered too, with some example numbers being 1= and so on.
– In the mathematics of set theory it is called Russell’s paradox, it is a set which contains sets which don’t contain themselves.
– When teaching about sets in schools, naive set theory and the definition of Georg Cantor are sometimes used.
– Together with Abraham Fraenkel he is one of the creators of Zermelo–Fraenkel set theory, the set theory that was used for the much of the 20th century.
– He was also one of the first people to make the distinction between mathematics and metamathematics, and warmly defended Georg Cantor’s set theory and transfinite numbers.
