0 votes 0 votes Is the set of rational numbers between 0 and 1 (inclusive) well ordered over the relation $\leq$? Lakshay Kakkar asked Nov 17, 2018 • recategorized Nov 17, 2018 by Mk Utkarsh Lakshay Kakkar 301 views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments Lakshay Kakkar commented Nov 17, 2018 reply Follow Share Since the question uses the phrase 'inclusive'. 0 votes 0 votes Mk Utkarsh commented Nov 17, 2018 reply Follow Share A well-order (or well-ordering or well-order relation) on a set S is a total order on S with the property that every non-empty subset of S has a least element in this ordering. I took a non-empty subset (0,1) but this set doesn't have any least element. 1 votes 1 votes Lakshay Kakkar commented Nov 17, 2018 i edited by Lakshay Kakkar Nov 17, 2018 reply Follow Share Got it bro. Thanks. Totally forgot about the phrase "every non empty subset". 0 votes 0 votes Please log in or register to add a comment.
