hw5 - Philosophy 12A Homework Assignment #5 November 7,...

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Philosophy 12A Homework Assignment #5 November 7, 2008 1 LPML Symbolizations Answer the following four (4) questions from pages 158 and 165 of the text. 1. p . 158 #6 2. p . 158 #16 3. p . 165 #5 4. p . 165 #15 2 Working with a Given LPML Interpretation Answer the following three (3) questions from page 179 of the text. 5. #5 6. #9 7. #12 3 Constructing LPML Interpretations Answer the following three (3) questions from page 184 of the text. 8. #6 9. #8 10. #21 I have attached pages 158, 165, 179, and 184 from the 4th printing of Modern Logic to the end of this homework assignment.
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158 Chapter 5: Predication and Quantification in English ! Exercises Symbolize each of the following sentences using names, predicates and the existential quantifier, as appropriate. State your dictionary and say what domain your quantifiers are relativized to. Show at least one intermediate step in Loglish for each example. (1) Some mathematicians are famous. (2) Some mathematicians are not famous. *(3) There is no mathematician who is famous. (4) Some Germans are famous mathematicians. (5) Gödel was a famous German mathematician. (6) If Fermat was a French mathematician, then he was famous. (7) Ada Lovelace was a brilliant English mathematician but she was not famous. (8) Some famous mathematicians are neither German nor French. (9) New Orleans is polluted but not smoggy. (10) Some cities are smoggy and polluted. (11) Some polluted cities are smoggy. *(12) Some polluted cities are smoggy and some aren’t. (13) No smoggy city is unpolluted. (14) No city is smoggy if it is unpolluted. *(15) If a wealthy economist exists so does a famous mathematician. (16) If no wealthy economist exists then no famous mathematician exists. (17) Vampires don’t exist. (18) Nothing is both a ghost and a vampire. (19) There aren’t any ghosts, nor vampires either. (20) If ghosts and vampires don’t exist then nothing can be a ghost without being a vampire. 3 More symbolizations: the universal quantifier The other arguments of §1, B and D , contain the quantifier ‘everyone’. In Loglish, ‘every’ becomes ‘for every _’ and so the premise of B , ‘everyone is hap- py’, is rendered (1.a) For every x, x is happy relativizing ‘for every _’ to the domain of people. In place of ‘every’ we may have ‘each’, or ‘any’, or ‘all’. To turn (1.a) into a sentence of LMPL, we need a symbol for ‘for every_’; the symbol we use is ‘
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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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hw5 - Philosophy 12A Homework Assignment #5 November 7,...

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