Please arrange in a correct order steps of the given argument in logical form. "Everyone in New Jersey lives within 50 miles of the ocean. Someone in New Jersey has never seen the ocean. Therefore, someone who lives within 50 miles of the ocean has never seen the ocean." v (+) 3x(P(x) ^ Q(x)) Existential generalization of (%) v (%) P(c) ^ Q(c) Conjunction from ($), (&) v (&) There is x=c in the domain such that P(c) Universal instantiation (*) v (*) VxP(x) Hypothesis Let P(x) = "x lives within 50 miles of the ocean", and Q(x) = "x has never seen the ocean" with the domain of the variable consisting of all people who live in New Jersey. The argument in the logical form: "Everyone in New Jersey lives within 50 miles of the ocean"= VxP(x) v "Someone in New Jersey has never seen the ocean" = 3xQ(x) Someone who lives within 50 miles of the ocean has never seen the ocean = 3x(P(x)^ Q(x))

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The argument in the logical form:
"Everyone in New Jersey lives within 50 miles of the ocean"= VxP(x)
V "Someone in New Jersey has never seen the ocean" = 3xQ(x)
Someone who lives within 50 miles of the ocean has never seen the ocean = 3x(P(x) A Q(x))
(X)OXE (#) ^
v ($) There is x=c in the domain for which Q(c) Existential instantiation (#)
Transcribed Image Text:The argument in the logical form: "Everyone in New Jersey lives within 50 miles of the ocean"= VxP(x) V "Someone in New Jersey has never seen the ocean" = 3xQ(x) Someone who lives within 50 miles of the ocean has never seen the ocean = 3x(P(x) A Q(x)) (X)OXE (#) ^ v ($) There is x=c in the domain for which Q(c) Existential instantiation (#)
Please arrange in a correct order steps of the given argument in logical form.
"Everyone in New Jersey lives within 50 miles of the ocean. Someone in New Jersey has never seen the ocean. Therefore, someone who lives
within 50 miles of the ocean has never seen the ocean."
v (+) 3x(P(x) ^ Q(x)) Existential generalization of (%)
v (%) P(c) ^ Q(c) Conjunction from ($), (&)
v (&) There is x=c in the domain such that P(c)
Universal instantiation (*)
- (*) ♥xP(x) Hypothesis
Let P(x) = "x lives within 50 miles of the ocean", and Q(x) = "x has never seen the ocean" with the
domain of the variable consisting of all people who live in New Jersey.
The argument in the logical form:
"Everyone in New Jersey lives within 50 miles of the ocean"= VxP(x)
"Someone in New Jersey has never seen the ocean" = 3xQ(x)
Someone who lives within 50 miles of the ocean has never seen the ocean =3(P(x) ^ Q(x))
Transcribed Image Text:Please arrange in a correct order steps of the given argument in logical form. "Everyone in New Jersey lives within 50 miles of the ocean. Someone in New Jersey has never seen the ocean. Therefore, someone who lives within 50 miles of the ocean has never seen the ocean." v (+) 3x(P(x) ^ Q(x)) Existential generalization of (%) v (%) P(c) ^ Q(c) Conjunction from ($), (&) v (&) There is x=c in the domain such that P(c) Universal instantiation (*) - (*) ♥xP(x) Hypothesis Let P(x) = "x lives within 50 miles of the ocean", and Q(x) = "x has never seen the ocean" with the domain of the variable consisting of all people who live in New Jersey. The argument in the logical form: "Everyone in New Jersey lives within 50 miles of the ocean"= VxP(x) "Someone in New Jersey has never seen the ocean" = 3xQ(x) Someone who lives within 50 miles of the ocean has never seen the ocean =3(P(x) ^ Q(x))
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