document.write( "Question 1022622: Prove that the two arguments below are valid, using
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document.write( "the method of natural deduction. Use the rules of
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document.write( "implication and rules of replacement
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document.write( "1. B -> (D -> H)
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document.write( "2. ~(D -> ~B) // H
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Algebra.Com's Answer #638272 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " 1. B -> (D -> H)\r\n" ); document.write( " 2. ~(D -> ~B) // H\r\n" ); document.write( "\r\n" ); document.write( " 3. (B v D) -> H 1, Importation\r\n" ); document.write( " 4. ~(~D v ~B) 2, Material implication\r\n" ); document.write( " 5. ~~D & ~~B 3, DeMorgan's law\r\n" ); document.write( " 6. D & B 4, Double negation\r\n" ); document.write( " 7. B & D 6, Commutation \r\n" ); document.write( " 8. B 7, Simplification\r\n" ); document.write( " 9. B v D 8, Addition\r\n" ); document.write( "10. H 3,9, Modus Ponens\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |