Is there any relation on set of natural numbers that is partial order and equivalence? I don't think so because when relation is symetric it can't be also antisymetric. Am I right? Thanks.
Asked
Active
Viewed 22 times
0
-
https://en.wikipedia.org/wiki/Binary_relation is a less than general article. https://en.wikipedia.org/wiki/Finitary_relation is more general. – Nov 02 '19 at 13:45
-
${(x, y) ∈ N × N | x = y } so {(1,1),(2,2),...}$ is partial order and equivalence? Is $∅$ also partial order and equivalence? – lasto Nov 02 '19 at 17:40