consider the statement (formula) (3x)A(x) → A(z) where z is a new variable not free (not an "input variable") in A(x). Find now a specific example of A(z) over the set N and choose a specific value of z EN so that (1) becomes false (meaning we cannot prove it, since proofs start from true axioms and preserve truth at every step). (1)
consider the statement (formula) (3x)A(x) → A(z) where z is a new variable not free (not an "input variable") in A(x). Find now a specific example of A(z) over the set N and choose a specific value of z EN so that (1) becomes false (meaning we cannot prove it, since proofs start from true axioms and preserve truth at every step). (1)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 51E
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