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Determine whether each of these posets is well-ordered.

(Q ∩[0, 1], ≤) (the set of rational numbers between
0 and 1 inclusive)
 

The answer is not well ordered because as it doesn't have any unique least element as 0 can be expressed in p/q forms like (0/12,0/23,0/234). All are representing zero but there is no unique among them.

Is this the reason here? Please confirm
in Set Theory & Algebra
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https://gateoverflow.in/52391/well-ordered-set see this once or goto  wikipedia for more reference and search for real number in well ordered set. u will get everything.

and its not what u are thinking its because we cannot track the least value for the set.

 
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What is well ordered set? Is it same as totally ordered set?

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