Log In
0 votes
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
edited by
0 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.

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

Please log in or register to answer this question.

Related questions

1 vote
0 answers
Let R be the relation on the set of functions from $Z^+$ to itself such that (f,g) belongs to R iff f is $\Theta(g)$ The equivalence class of f(n)=$n^2$ is set of all functions who are in $\Theta(n^2)$ is it correct?
asked Jun 30, 2018 in Set Theory & Algebra Ayush Upadhyaya 75 views
0 votes
0 answers
Given below is a table where R is a relation having pairs (x,y) over the set of real numbers and these ordered pairs will be in R if and only if the condition given on the left most side of the table is satisfied. The various columns represent ... relation can have R-Reflexive IR-Irreflexive S-Symmetric ATS-Anti-symmetric AS-Asymmetric T-Transitive. Let me know if below table entries are correct.
asked Jun 29, 2018 in Set Theory & Algebra Ayush Upadhyaya 97 views
1 vote
0 answers