Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.1 - Page 107: 20

Answer

The square root of a positive real number is positive. Every positive real number has a positive square root. Given any positive real number, its square root is positive.

Work Step by Step

Recall the example of implicit quantification: Consider the statement: If a number is an integer, then it is a rational number. This statement is equivalent to a universal statement. However it does not contain the telltale word "all" or "every" or "any" or "each". The only clue to indicate its universal quantification comes from the presence of the indefinite article "a." This is an example of implicit universal quantification.
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