document.write( "Question 1010733: INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument:
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document.write( "1. C
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document.write( "2. (C & T) > ~T
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document.write( "3. (C & ~T) > T / T < > ~T \n" );
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Algebra.Com's Answer #626438 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( " 1. C \r\n" ); document.write( " 2. (C & T) > ~T \r\n" ); document.write( " 3. (C & ~T) > T / T < > ~T\r\n" ); document.write( "\r\n" ); document.write( " 4. ~~T > ~(C & T) 2, Transposition\r\n" ); document.write( " 5. T > ~(C & T) 4, Double negation\r\n" ); document.write( " 6. T > (~C v ~T) 5, DeMorgan\r\n" ); document.write( " 7. ~T v (~C v ~T) 6, Material Implication\r\n" ); document.write( " 8. ~T v (~T v ~C) 7, Commutation\r\n" ); document.write( " 9. (~T v ~T) v ~C 8, Association\r\n" ); document.write( "10. ~T v ~C 9, Tautology\r\n" ); document.write( "11. ~C v ~T 10, Commutation\r\n" ); document.write( "12. ~~C 1, Double Negation\r\n" ); document.write( "13. ~T 11,12, Disjunctive Syllogism\r\n" ); document.write( "14. C & ~T 1,13, Conjunction\r\n" ); document.write( "15. T 3,14, Modus Ponens\r\n" ); document.write( "16. T v T 15, Addition\r\n" ); document.write( "17. ~~T v T 16, Double Negation\r\n" ); document.write( "18. ~T > T 17, Material Implication\r\n" ); document.write( "19. ~T v ~T 13, Addition\r\n" ); document.write( "20. T > ~T 19, Material Implication\r\n" ); document.write( "21. T < > ~T 20,18, Material Equivalence\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |