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1 ( a ) Construct formal proofs of validity for the following argument, using the rule of Conditional Proof: Atterthsted All professors are leamed. All
a Construct formal proofs of validity for the following argument, using the rule of Conditional Proof:
Atterthsted
All professors are leamed. All learned professors are savants. Therefore all professors are learned
savants. Px
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b Using quantification theory, prove that the following argument is invalid:
"Some pointers are spaniels because some dogs are pointers and some dogs are spaniels."
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c Symbolize the following sentences, in each case using the indicated symbols:
i "Everything comes to every person who waits." Px: is a person. Zx: waits. Ty: is a thing. Uxy: comes to
ii Every rose has its thorn. Rx: is a rose. : is a thorn. Hxy: has
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d Prove the validity of the following enthymeme using the indicated symbols: "Any man on the first team can outrun every man on hate second team. Therefore no man on the second
team can outrun any man on the first team." Fx:x is a man on the first team. S : is a man on the second team. Oxy: can outrun
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