What was Cantor's logic regarding numbers?
All numbers are imaginary
Numbers are symbols only
Real numbers are more numerous
Natural numbers don't exist
Answer
Indeed, real numbers are more numerous. Cantor used the concept of one-to-one correspondence to compare the cardinality (or size) of sets. He demonstrated that there is no one-to-one correspondence between the set of natural numbers and the set of real numbers. This means that there are more real numbers than natural numbers, even though both sets are infinite.
Exploring the Limitless: A Quiz on Georg Cantor's Groundbreaking Mathematics
Subscribe Now!
Learn something
new everyday
Playing quizzes is free! We send 1 quiz every week to your inbox