Foundations and Fundamental Concepts of Mathematics (Dover Books on Mathematics) by Howard Eves
Author:Howard Eves
Language: eng
Format: mobi
Tags: Mathematics, Science & Math, Pure Mathematics, Logic
ISBN: 9780486132204
Publisher: Dover Publications
Published: 2012-04-09T23:00:00+00:00
PROBLEMS
6.1.1
Construct an example of a propositional function containing three variables.
Obtain, by appropriate substitutions, three true propositions from the propositional function.
Obtain, by appropriate substitutions, three false propositions from the propositional function.
Discuss the statement “God is love” in terms of the concepts proposition and propositional function.
6.1.2
In elementary mathematics, an equation in one variable x, say, can be regarded as a propositional function in which the only admissible meanings for x are complex numbers. A fundamental problem in elementary mathematics is the determination of those complex numbers, if there are such, for which the equation becomes a true proposition. What are the verifying values of x for each of the following equations?94
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