introduction to set theory

Feb 2014
48
3
USA
I have some trouble when proving the existence of set. In this particular case, I would like to have some help as to how to prove that Seq(A) exists. Where Seq(A) denotes the set of all finite sequences of elements of A. I am using as textbook "Introduction to set theory" from Hrbacek.

I would appreciate any help.
 

chiro

MHF Helper
Sep 2012
6,608
1,263
Australia
Hey Yeison.

Can you represent the sequence in terms of unions of set elements and show that a set (even that which is ordered) exists by taking unions and ordering if necessary?
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
Exactly what does it mean for a set to "exist"?