Jun 2, 2016 · Hi, What is the cardinality of the set of all idempotent functions (FoF=F) from R to R (R is the set of all real numbers). Thank's in advance.

Feb 4, 2011 · Your reference calls three the cardinality of the set. But if 1 designates an individual (Joe), {1,1,1} doesn't exist (is impossible), so given that {1,1,1} exists it must have three …

Dec 4, 2011 · I've got a problem, I need to find the cardinality of set of every choice function for P (N)-\ {\emptyset\} and i have no idea how to start. Can anyone help...

Mar 14, 2010 · Thanks! A related problem: Assuming the fact that the set of algebraic numbers is countable, prove that the set of transcendental numbers has the same cardinality R, the set of …

Dec 3, 2009 · We could first prove that continuum \mathfrak {c} , which is the cardinality of all real numbers, is the same as 2^ {\aleph_0} . First, it is easy to show that all real numbers are …

Oct 21, 2009 · Show that if A and B are sets with the same cardinality, then the power set of A and the power set of B have the same cardinality. Since A and B have the same cardinality …

Sep 23, 2012 · What is the cardinality of the power set {NULL, a, {NULL}, {{NULL}}}? Why? I believe it is 3.

Nov 12, 2020 · Can you put the set "positive integers divisible by 7" in a one-to-one correspondence with the "Set of Natural Numbers"?

Dec 4, 2009 · Namely, the section about cardinal arithmetic defines cardinal multiplication as the cardinality of the Cartesian product of the given sets. It also says that if the axiom of choice is …

Jul 19, 2015 · For a fixed +ve integer n, Define A(n)={(3p,q): 3p+q=n, p,q∈ℤ⁺ and p≠q}. Find the Cardinality of A(n).