The following 4 arguments are valid. Provide a proof of validity for each argument. You can use the 18 rules of inference, CP, IP, the rules for introducing and removing quantifiers and the Change of Quantifier rules. Questions # 23 and #24 are more challenging, they involve relational predicates, overlapping quantifiers, and identity. 22. 1) 2) (3x) Ex (3x) (Gx. Hx) (3x) HX= (x) JX :: (x) (Ex- Jx)
The following 4 arguments are valid. Provide a proof of validity for each argument. You can use the 18 rules of inference, CP, IP, the rules for introducing and removing quantifiers and the Change of Quantifier rules. Questions # 23 and #24 are more challenging, they involve relational predicates, overlapping quantifiers, and identity. 22. 1) 2) (3x) Ex (3x) (Gx. Hx) (3x) HX= (x) JX :: (x) (Ex- Jx)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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In the image is predicate proofs. I am to prove the validity of the arguement using the quantifier rules and rules of inference and replacement
![The following 4 arguments are valid. Provide a proof of validity for each argument. You can use the 18
rules of inference, CP, IP, the rules for introducing and removing quantifiers and the Change of Quantifier
rules. Questions #23 and #24 are more challenging, they involve relational predicates, overlapping
quantifiers, and identity.
22.
1)
2)
23.
1)
24.
1)
2)
(3x) Ex (3x) (Gx. Hx)
(3x) HX= (x) JX
- (x) (Ex - Jx)
(3x) [Lx. (y) (My = Pxx)]
~bb
(x) [Hx (Lx.x = b)]
/:. (3x) [Lx. (Mb⇒ P.xb)]
7:. ~ Ha](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5339e1be-24db-4335-a358-e49261daa834%2F2b5aa453-b875-4ec1-be4a-1e415eb136f2%2Fenbpu5_processed.png&w=3840&q=75)
Transcribed Image Text:The following 4 arguments are valid. Provide a proof of validity for each argument. You can use the 18
rules of inference, CP, IP, the rules for introducing and removing quantifiers and the Change of Quantifier
rules. Questions #23 and #24 are more challenging, they involve relational predicates, overlapping
quantifiers, and identity.
22.
1)
2)
23.
1)
24.
1)
2)
(3x) Ex (3x) (Gx. Hx)
(3x) HX= (x) JX
- (x) (Ex - Jx)
(3x) [Lx. (y) (My = Pxx)]
~bb
(x) [Hx (Lx.x = b)]
/:. (3x) [Lx. (Mb⇒ P.xb)]
7:. ~ Ha
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