lecture 4 2009

lecture 4 2009 - P V Q A student may count PHIL 2110 or...

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Jon Stewart is a funny guy Funny(jons) ^ Guy(johns)
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Both Mark and Rosemary are away, but Ethel and Fred can’t both come (Away(mark) ^ Away(rosemary)) ^ ¬(Come(ethel) ^ Come(fred))
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Cautions! Jack and Jill had a baby Mark Twain and Samuel Langhorne Clemens were the same person Socrates drank the hemlock and died Franklin and Eleanor were cousins
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Disjunction The logical symbol Vorepresents the inclusive `or’ (i.e it is true even when both disjuncts are true). If a student is convicted of lying, cheating, or stealing, then that student is asked to leave UVA.
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Either I’ll have the chocolate donut or I’ll have the sugar raised donut.
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Unformatted text preview: P V Q A student may count PHIL 2110 or PHIL 2120 towards the major but not both. (P V Q) ^ ¬(P ^ Q) De Morgan’s Laws ¬(A ^ B) ≡ ¬A V ¬B ¬(A V B) ≡ ¬A ^ ¬B Neither George Sand nor George Eliot was male. i.e. It is not the case that George Sand was male and it is not the case that George Eliot was male. ¬S ^ ¬T Alternatively, It is not the case that either George Sand or George Eliot was male ¬(S V T) Variants of `and’ both. ..and. . although even though but moreover despite , (as part of a conjunctive list) Variants of `or’ either. ..or. .. , (as part of a disjunctive list)...
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