A minor nitpick... 'cardinality' in mathematics refers to a set of infinities. The set of all integers has a certain cardinality, which is equal to the cardinality of all rational numbers, but which is smaller than the cardinality of all irrational numbers.
"Size estimation" is sufficient; no need to get fancy with words you don't know the meaning of.
The OP is correct. Cardinality in mathematics is the number of elements in a set[1]. What you are probably referring to is the concept of cardinal numbers[2]. I guess you can skip the smug tone.
"Size estimation" is sufficient; no need to get fancy with words you don't know the meaning of.