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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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(x) over the set N and choose a specific
value of z N so that (1) becomes false (meaning we cannot prove it,
since proofs start from true axioms and preserve truth at every step).
(1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f3955b8-0d95-4a87-bec6-dd350f05e8a6%2Fc3173569-a7f5-42c7-8d6b-9a8941a84251%2Fajfxczd_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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(x) over the set N and choose a specific
value of z N so that (1) becomes false (meaning we cannot prove it,
since proofs start from true axioms and preserve truth at every step).
(1)
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