6.1 Symbols and Translation

6.1 Symbols and Translation - Propositional Logic Symbols...

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Propositional Logic Propositional Logic Symbols and Translation
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Purpose Purpose The previous sections have shown that an argument is valid or invalid depending on its form and colloquial English tends to disguise the form of arguments. So, in this section we will eliminate the obscurity introduced by natural language by revealing the structure of statements that make up arguments. This will be done by introducing truth functional connectives (operators) and symbolizing the content of arguments with capital letters.
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Propositional Logic Works Propositional Logic Works with whole Propositions with whole Propositions When we worked with categorical syllogisms in respect to the counterexample method we symbolized terms in the sentence. Ex: All pilots are good drivers. All P are D. In propositional logic we will symbolize whole statements, not terms. Ex. The Gamecocks beat the Bulldogs. G
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Simple Statements and Compound Statements Compound Statements Simple statements in our symbolic language will be a statement that does not contain any other statement as a component. Ex: The statement “A dog ate my homework” will be symbolized as “D.” While a compound statement is one that contains at least one simple statement as a component. The compound statement “George Bush is Canadian
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This note was uploaded on 02/14/2011 for the course PHIL 110 taught by Professor ? during the Fall '06 term at South Carolina.

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6.1 Symbols and Translation - Propositional Logic Symbols...

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