notes_7_2x2 - Branden Fitelson Philosophy 12A Notes 1...

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Unformatted text preview: Branden Fitelson Philosophy 12A Notes 1 Announcements & Such Pink Floyd : Shine on You Crazy Diamond Administrative Stuff Ive added a link to L A T E X for Logicians to our website. HW #1 re-sub is due today @ 4pm @ the 12A Drop Box (301 Moses). Homework formatting. From now on, please put the following: Name, GSI, section time, and date. on all assignments and exams (upper-right corner of first page). HW #2 has been posted. Its due (first submission) next Friday. See, also, the HW Tips & Guidelines Handout, pertaining to HW #2. Chapter 2 (LSL), Continued More Symbolization from English to LSL Symbolizing English sentences into LSL. Symbolizing entire English arguments into LSL. UCB Philosophy Chapter 2 09/12/08 Branden Fitelson Philosophy 12A Notes 2 English LSL VIII: Negation, Conjunction, and Disjunction The tilde operates only on the unit that immediately follows it. In K M , affects only K ; in (K M ) , affects the entire K M . It is not the case that K or M is ambiguous between K M , and (K M ) . Convention : It is not the case that K or M K M . Not both S and T (S & T ) . [Chapter 3: (S & T ) means the same as S T . But, (S & T ) does not mean the same as S & T .] Not either S or T (S T ) . [Chapter 3: (S T ) means the same as S & T , but (S T ) does not mean the same as S T .] Here are some examples involving , &, and (not, and, or): 1. Shell is not a polluter, but Exxon is. ?? 2. Not both Shell and Exxon are polluters. ?? 3. Both Shell and Exxon are not polluters. ?? UCB Philosophy Chapter 2 09/12/08 Branden Fitelson Philosophy 12A Notes 3 4. Not either Shell or Exxon is a polluter. ?? 5. Neither Shell nor Exxon is a polluter. ?? 6. Either Shell or Exxon is not a polluter. ?? Summary of translations involving , &, and (not, and, or): Logish LSL Not either A or B . (A B) Either not A or not B A B Not both A and B . (A & B) Both not A and not B . ( Neither A nor B.) A & B DeMorgan Laws (we will prove these laws is Chapter 3): [ (p q) is equivalent to (means the same as) [ p & q [ (p & q) is equivalent to (means the same as) [ p q But, [ (p q) is not equivalent to [ p q . And, [ (p & q) is not equivalent to [ p & q ....
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This note was uploaded on 09/23/2009 for the course PHIL 12A taught by Professor Fitelson during the Spring '08 term at University of California, Berkeley.

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notes_7_2x2 - Branden Fitelson Philosophy 12A Notes 1...

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