in an ifinite set , we have infinite elements , but why the cardinality is not infinity rather not defined - Maths - Sets

Question

in an ifinite set , we have infinite elements , but why the
cardinality is not infinity rather not defined ????

Aarushi Mishra · Accepted Answer

infinity is not a number
 Infinity is just a sign to represent a value which is so large that we cannot definte it
 cardinality is something which is asociated with countable things
 If we say a set has 5 elements or 4 elements it makes sense but if you say a set has infinite elements then you cannot count infinity
 Infinity is not a number and cannnot be defined precisely
 Therefore we say cardinality of infinite set is not defined

in an ifinite set , we have infinite elements , but why the cardinality is not infinity rather not defined ????