Lecture Notes 7

Lecture Notes 7 - DISCUSSION OF FIRST HOMEWORK...

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37 DISCUSSION OF FIRST HOMEWORK ASSIGNMENT… GREATEST PROBLEMS: 13, 14, BONUS. .. SYMBOLIZATION CONTINUED… SPECIAL CASE: p unless q = if not q then p = ~ q p SANTA WILL NOT BE ARRESTED UNLESS THE ELVES TIP OFF THE COPS ~ E ~ S SYMBOLIZING p IF AND ONLY IF q ( p <--> q ) VARIANT p JUST IN CASE q NOTE: THERE ARE MANY SEMANTICALLY EQUIVALENT, BUT SYNTACTICALLY DIFFERENT WAYS OF CORRECTLY SYMBOLIZING MANY ENGLISH SENTENCES IN THE LANGUAGE OF SL. NOT BOTH p AND q :: ~ (p & q) :: ~ p V ~ q NEITHER p NOR q :: ~ (p V q) :: ~ p & ~ q p UNLESS q :: ~ q p :: p V q p ONLY IF q :: p q :: ~ q ~ p p IF AND ONLY IF q :: p <--> q :: (p q) & (q p) COMPLEX TRANSLATION EXAMPLES MRS. CLAUS WILL NOT BE ARRESTED IF SANTA IS, BUT RUDOLPH WILL GO INTO HIDING. RUDOLPH WILL GO INTO HIDING IF EITHER SANTA OR MRS. CLAUS IS
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38 ARRESTED. ONLY IF SANTA IS ARRESTED WILL RUDOLPH GO INTO HIDING, BUT IF SANTA IS ARRESTED MRS. CLAUS WILL BE ARRESTED.
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This note was uploaded on 12/07/2010 for the course PHIL 250A at USC.

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Lecture Notes 7 - DISCUSSION OF FIRST HOMEWORK...

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