2010.09.30 - Today Agenda Thu 30 Sep Continue Testing...

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Today Agenda Thu 30 Sep • Continue Testing arguments, reasoning, for green reason bubble deductive validity correctness
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Testing Deductive Valid GRM ch 6 • Green reason bubble deductive valid correctness test procedure Step1 Standardize wording premises, conclusion to apply test. Test1 Truth-table test • Test2 Venn circle diagrams syllogism test • Step2 Apply test • Test1 Truth-table test • Test2 Venn circle diagrams syllogism test Correct ? Incorrect ?
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Truth-Functional Operators GRM ch 9 • Truth-functional connectives, logic operators Conjunction (Standardized word AND. • Negation (Standardized word NOT. Symbol in GRM ~) • Inclusive Disjunction (Standardized word OR, Symbol in GRM ) • Exclusive Disjunction (Standardized word XOR, No Symbol in GRM) • Conditional (Standardized word IF…THEN, Symbol in GRM ) • Biconditional (Standardized word IFF, No Symbol in GRM)
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Conjunction GRM 9.1 • Conjunction English • And, but, although, ; , both • Standardized as AND between complete sentences, or BOTH…AND with complete sentences
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Negation GRM 9.1 • Negation English • Not, no, un-, non- • Standardize with IT IS NOT THE CASE THAT applied front of sentence. Abbreviated to NOT applied front of sentence
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Slide 6 Flowchart Is row where all P ʼ s true and C false? Yes No Reasoning truth-table invalid Reasoning truth-table valid Completed truth-table for reasoning
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Conjunction GRM 9.1 Slide 7 • How AND works • s1 s2 s1 AND s2 • true true true • true false false • false true false • false false false
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Negation GRM 9.1 • How NOT works • s1 NOT s1 • true false • false true
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Truth-Functional Operators GRM 9.1 • Truth-functional connectives, logic operators • Conjunction (Standardized word AND. • Negation (Standardized word NOT. Symbol in GRM ~) • Inclusive Disjunction (Standardized word OR, Symbol in GRM ) • Exclusive Disjunction (Standardized word XOR, No Symbol in GRM) • Conditional (Standardized word IF…THEN, Symbol in GRM ) • Biconditional (Standardized word IFF, No Symbol in GRM)
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DISJUNCTION GRM 9.1 • Inclusive disjunction in English • Or, either, and/or • Standardize with OR between full sentences, or EITHER…OR with full sentences
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Exclusive Disjunction GRM 9.1 • Exclusive disjunction in English • Or…but not both, either …but not both • Standardize with (EITHER) …OR…AND NOT BOTH… Abbreviate with XOR
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12 DISJUNCTION GRM 9.1 • (Inclusive) disjunction, OR, AND/OR • How (inclusive) OR works • s1 s2 s1 OR s2 • true true true • true false true • false true true • false false false
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Exclusive Disjunction GRM 9.1 • Exclusive disjunction, XOR • How XOR works • s1 s2 s1 XOR s2 • true true false • true false true • false true true • false false false
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Examples Size . Small, medium, large Shape . Tet, dodec, cube. Location
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This note was uploaded on 11/03/2010 for the course PHIL 120 taught by Professor Irvine during the Fall '10 term at The University of British Columbia.

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2010.09.30 - Today Agenda Thu 30 Sep Continue Testing...

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