PL 2 - Todays Topics 10/21 I Review a b Connectives...

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3/4/11 Today’s Topics 10/21 I. Review a) Connectives b) Compound, Component, and Simple Propositions c) The Main Connective d) The Symbols of Propositional Logic e) Identifying Propositional Forms II. Negation III. Conditionals IV. Bi-Conditionals
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3/4/11 My tapir has stripes and can stand on his hind legs. My tapir has stripes or he can stand on his hind legs. It is not the case that my tapir can stand on his hind legs. If my tapir can stand on his hind legs , then he has stripes. My tapir can stand on his hind leg if and only if he has stripes. “My tapir has stripes.” “My tapir can stand on his hind legs.” I. a) Connectives
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3/4/11 I. b) Compound, Component Type of Proposition Definition Example Compound Propositions Propositions that contain connectives. ‘Harry is tall and Sarah is short.’ Component Propositions The smaller propositions out of which a compound proposition is constructed ‘Harry is tall’ and ‘Sarah is short’ are the component propositions of ‘Harry is tall and Sarah is short.’ Simple Propositions Propositions that do not contains connectives ‘Harry is tall.’ ‘Sarah is short.’
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3/4/11 I. c) The Main Connective The main connective operates on the largest part of the sentence, i.e., it brings the whole Either I will go home and watch T.V. or I will think about the election.” I will go home and watch TV. I will think about the election. I will go home. I will watch T.V. ‘Or’ is the main connective since it brings the whole sentence together. ‘and’ is not the main connective since it only brings two component propositions (“I will go home” and “I will watch T.V.” together.
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3/4/11 I. d) The Symbols of Propositional Logic Variables : a, b, c…z, a’, b’, c’…z’, a’’, b’’, c’’… Connective Symbols : ‘&,’ ‘V,’ etc.
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PL 2 - Todays Topics 10/21 I Review a b Connectives...

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