Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.5 - Nested Quantifiers - Exercises - Page 67: 20

Answer

Any domain with four or more members makes the statement true; any domain with three or fewer members makes the statement false.

Work Step by Step

We Have to prove that on which domain ∀x∀y∀z∃w((w = x) ∧ (w = y) ∧ (w = z)) is false?true? As we know that Any domain with four or more members makes the statement true; any domain with three or fewer members makes the statement false.
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