Answer to Question #20314 in Discrete Mathematics for paige williams

Question #20314
Prove by Contradiction: there is no smallest positive rational number
1
Expert's answer
2012-12-18T09:22:28-0500
Suppose there is a smallest positive rational number. Now divide it by 2. That is still a positive rational number but is only half as big. Contradiction. Therefore the assumption that there is a smallest positive rational number cannot be true. Hence there is no smallest positive rational number.

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