2 2 votes The set of all English words ordered in a dictionary is ________ $A)$ not a poset $B)$ a poset but not totally ordered $C)$ a totally ordered set but not well ordered $D)$ a well ordered set Set Theory & Algebra discrete-mathematics set-theory&algebra partial-order + – Lakshman Bhaiya 1.3k views answer comment Share Follow Print See all 2 Comments 2 2 Comments reply Shaik Masthan commented Oct 6, 2018 reply Follow flag we can compare each word with another word with the property of Lexographical Order ∴ it is as (A,≤) ====> it is a poset and every element is comparable with other ===> it is Totally Order. it have lower bond ===> it is Well-ordered about Well-order information https://en.wikipedia.org/wiki/Well-order 5 5 replyShare shashankrustagi commented Dec 24, 2020 reply Follow flag A total order is a partial order $\subset A \times A $ where $\forall x$ϵA $\forall y$ϵA ($xRy \vee yRx$) 0 0 replyShare Please log in or register to add a comment.
