What did Cantor prove about real numbers?
They are finite
They are countable
They are fewer than integers
More numerous than naturals
Answer
Cantor proved that real numbers are more numerous than natural numbers, a concept known as uncountability. While the set of natural numbers (1, 2, 3..) can be counted and assigned a specific position, the set of real numbers (including decimals and irrational numbers like π) is uncountably infinite. This distinction forms the foundation for the concept of infinity in mathematics.
Exploring the Limitless: A Quiz on Georg Cantor's Groundbreaking Mathematics
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