nonequivalence

/ ˌnɒnɪˈkwɪvələns /

noun

1. the relationship of being unequal or incomparable
2. logic
   1. the relation between two statements only one of which can be true in any circumstances
   2. a function of two statements that takes the value true only when one but not both of its arguments is true
   3. a compound statement asserting that just one of its components is true

Example Sentences

In another development of the theory of the cardinal whole numbers, which Russell and Whitehead have worked out, ordinal concepts are introduced only secondarily, and the theory depends upon the fundamental relation of the equivalence or nonequivalence of collections of objects.

From Project Gutenberg