From the years ago, it has always been this question in my mind which a teacher of high school talked about in a class but I never found it's correct answer.
We have set of natural numbers 1,2,3,4,5,... and set of real numbers.
We have two concepts to prove that these sets of numbers are equal or smaller than each other.
Concept 1
If we choose any number from the natural numbers, we can choose a number from real set of number, so they are equal.
Concept 2
Natural numbers are subset of the real numbers, so natural numbers set is smaller than set of real numbers.
Which concept is correct?
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