Assertion: set | /r/HasProperty | infinite
Facets:
value: in this example
type: OTHER
Source sentences:
text: In this example, both sets are infinite but the latter set has a larger cardinality (or power) than the former set.
text: one can show that a set is Dedekind-finite if and only if it is finite in the sense of having a finite number of elements.
text: Until the foundational crisis of mathematics showed the need for a more careful treatment of set theory, most mathematicians assumed that a set is infinite if and only if it is Dedekind-infinite.
text: During the latter half of the 19th century, most mathematicians simply assumed that a set is infinite if and only if it is Dedekind-infinite.