Question

Please help with this. Any unnecessary answers will be reported.

Just how big is infinity?

Question 1: Are there fewer square numbers in the entire infinite set of square numbers than the number of natural square numbers in the entire infinite set of natural numbers? Explain why or why not.

Question 2: are there fewer numbers in the entire infinite set of natural numbers than the number of numbers is in the entire infinite set of real numbers? Explain why or why not.

Answer 1

Question 1. Fewer, Question 2: Real Numbers

Explanation:

1) All natural numbers are not square numbers.

2) Real Number consist of negative numbers and natural number don't.