TITLE: Notation for the smallest number in a set?
QUESTION [16 upvotes]: Let's assume I have a set like $S = \{2,1,3,4,8,10\}$. 
What's the math notation for the smallest number in the set?

REPLY [3 votes]: In general for a given set $S$ which is nonempty and a subset of an ordered field we define the smallest element in the set to be the element $x \in S$ such that $x\leq y, \ \forall y \in S$. Since you said in a set, I will not introduce the notion of inf. I hope this helps.