1 votes 1 votes Find a common domain for the variables x, y, z, and w for which the statement $∀x∀y∀z∃w((w \neq x) ∧ (w \neq y) ∧ (w \neq z))$ is true and another common domain for these variables for which it is false. Mathematical Logic discrete-mathematics kenneth-rosen domain mathematical-logic quantifiers + – Ali Jazib Mahmood asked Jul 25, 2017 • edited Mar 5, 2019 by Pooja Khatri Ali Jazib Mahmood 700 views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments rahul sharma 5 commented Jul 26, 2017 reply Follow Share Same domain does not mean same values. Assume my domain is integers.Then for every three integers there will definitely exists a fourth integer which does not belong to the any three of the numbers.And it will satisfy your constraint. 1 votes 1 votes Ali Jazib Mahmood commented Jul 26, 2017 reply Follow Share Sorry for such a simple question,I wasnt actually visualising it correctly 0 votes 0 votes ykrishnay commented Apr 18, 2022 reply Follow Share please can you explain detail cause i dont understand the wha you say please can you explain detail thank you ahead 0 votes 0 votes Please log in or register to add a comment.
