Month: January 2017

Smallest/Largest Element – Lower/Upper Bound In Set Theory

Hallo, infinite-set readers. Set theory is back.┬ásmallest element In the previous post we’ve learned about partial ordered set (poset), ordered set, minimum element, and maximum element. In the previous post, I said that the unity existence of the maximum elements and minimal elements are also not guaranteed. You can reopen the post on this link.

Ordered Set

Hello, infinite-set readers. Set theory is back. Last post we discuss about poset or partially ordered set (part 1 and part 2). As per my promise, today we will learn about the ordered set. Also will be discuss about minimal element and maximal element. Happy reading. Ordered Set Definition : Given any set . A