Probably pretty simple for ya'll but

  • Thread starter kshan5
  • Start date
In summary, A student struggled with a question on their intro to logic final at UMass, which involved proving ∀x(Fx V Gx) using the premise ∀xFx V ∀xGx. They spent an hour on it and couldn't get close. They asked for help and were given a hint to consider what would make the conclusion false.
  • #1
kshan5
1
0
So I just got out of my intro to logic final at UMass and there was one question I just couldn't solve, and I'd like to know how. Anyways, here it is,

1. ∀xFx V ∀xGx
2. Show: ∀x(Fx V Gx)


I did 90% of the exam in a half hour, then spent the next hour on this alone and couldn't really get that close. Anyways, just really curious how you'd go about doing it.

Thanks.
 
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  • #2
Show how? By using the quantifier's semantic definitions or were you asked to use a particular proof system? Anyway, in the former, here's a hint: what must happen for the conclusion to be false?
 

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"Probably pretty simple for ya'll but" is a phrase commonly used to preface a question or task that the speaker believes will be easy for the listener or audience to understand or accomplish. It implies that the speaker may feel embarrassed or self-conscious for asking the question because it may seem obvious to others.

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