Section 8.4 - therefore S All these express statement of...

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Section 8.4 P= Ben likes ice cream Q= Jerry likes cupcakes ~P P v Q P • Q P -> Q Convention: 1. Use capital letters to symbolize statements 2. Use lower case letters to symbolize statement variables, starting with the letter ‘p’ o statement variable symbolizes where we can substitute statement letter If there’s lightning, then it will thunder If she goes to the store, then she’s buying orange juice If he’s a bachelor, then he is unmarried Using convention 1: L for lightning, T for thunder L -> T S -> B B -> U All these express statement of the form p -> q If there’s lightning, then it will thunder L -> T There’s lightning L C: It will thunder therefore T If he’s a bachelor, then he’s single B S He’s a bachelor B He’s single
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Unformatted text preview: therefore S All these express statement of the form p q/p/therefore q expresses what is going on in particular arguments BUT an argument can express more than one argument form: p/q/therefore r (same argument form as the one above) • more general • three different statements, all different therefore can use the three different letters TIPS • It’s possible for an argument to be a substitution instance of more than one argument form • For any argument, there is one specific argument form which best expresses the form of that argument o For example, first argument form above best expresses o When plotted out in book, use best specification to the most general Main connector in 23, dot (and) Connector in conclusion conditional...
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