5. Identify the flaw in this reasoning: "The real numbers have a greater cardinality than the natural numbers, because every natural number is a real number but there are many real numbers that are not natural numbers." Why does this not work to prove that the real numbers have a greater cardinality than the natural numbers?
5. Identify the flaw in this reasoning: "The real numbers have a greater cardinality than the natural numbers, because every natural number is a real number but there are many real numbers that are not natural numbers." Why does this not work to prove that the real numbers have a greater cardinality than the natural numbers?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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