Qo.
ANS:
Syllogism is:
My teapot is purple
My teapot holds water
---------------------------------------------------------------------------------------------------
There exist purple things that hold water
A) Translate the syllogism into set-theoretic notation.
ANS:
X∈P
(X∈Q)
------------
(P∩Q≠∅) OR (R∩Q≠∅)??
So the conclusion is: P∩Q≠∅
B) Translate your set-theoretic notation into the
notation of predicate logic.
ANS:
X∈P
X∈Q
------------
∃Y∈PY∈Q ??
C) Give proof that the syllogism is valid, similar to
that given in the lecture 5 videos.
M = P
p(Y)=Y∈Q
p(X)∧(X∈M)⊨∃Y∈Mp(Y)
M≠∅ <--> ∃X∈U X∈M
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THANKS!!
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