document.write( "Question 1116905: \r\n" );
document.write( "Give reasons for the steps, given premises 1, 2 and 3:\r\n" );
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document.write( "1. X ⊃ (Y ⊃ Z)\r\n" );
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document.write( "2. X ⊃ (A ⊃ B)\r\n" );
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document.write( "3. X • (Y ∨ A) ∴ ∼B ⊃ X \r\n" );
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document.write( "4. X \r\n" );
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document.write( "5. A ⊃ B \r\n" );
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document.write( "6. Y ⊃ Z \r\n" );
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document.write( "7. (Y ∨ A) • X \r\n" );
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document.write( "8. Y ∨ A \r\n" );
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document.write( "9. ∼(∼Y) ∨ A \r\n" );
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document.write( "10. ∼Y ⊃ A \r\n" );
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document.write( "11. ∼Y ⊃ B \r\n" );
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document.write( "12. ∼B ⊃ ∼(∼Y) \r\n" );
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document.write( "13. ∼B ⊃ Y \r\n" );
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document.write( "14. X ∨ ∼Y \r\n" );
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document.write( "15. ∼Y ∨ X \r\n" );
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document.write( "16. Y ⊃ X \r\n" );
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document.write( "17. ∼B ⊃ X \r\n" );
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document.write( "
Algebra.Com's Answer #732606 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Give reasons for the steps, given premises 1, 2 and 3:\r\n" ); document.write( "\r\n" ); document.write( "1. X ⊃ (Y ⊃ Z)\r\n" ); document.write( "\r\n" ); document.write( "2. X ⊃ (A ⊃ B)\r\n" ); document.write( "\r\n" ); document.write( "3. X • (Y ∨ A) /∴ ∼B ⊃ X \r\n" ); document.write( "\r\n" ); document.write( "4. X 3, Simplification\r\n" ); document.write( "\r\n" ); document.write( "5. A ⊃ B 2,4, Modus Ponens\r\n" ); document.write( "\r\n" ); document.write( "6. Y ⊃ Z 1,4, Modus Ponens\r\n" ); document.write( "\r\n" ); document.write( "7. (Y ∨ A) • X 3, Commutation\r\n" ); document.write( "\r\n" ); document.write( "8. Y ∨ A 7, Simplification \r\n" ); document.write( "\r\n" ); document.write( "9. ∼(∼Y) ∨ A 8, Double Negation\r\n" ); document.write( "\r\n" ); document.write( "10. ∼Y ⊃ A 10, Material Implication\r\n" ); document.write( "\r\n" ); document.write( "11. ∼Y ⊃ B 10,5, Hypothetical Syllogism\r\n" ); document.write( "\r\n" ); document.write( "12. ∼B ⊃ ∼(∼Y) 11, Transposition\r\n" ); document.write( "\r\n" ); document.write( "13. ∼B ⊃ Y 12, Double Negation\r\n" ); document.write( "\r\n" ); document.write( "14. X ∨ ∼Y 4, Addition\r\n" ); document.write( "\r\n" ); document.write( "15. ∼Y ∨ X 14, Commutation\r\n" ); document.write( "\r\n" ); document.write( "16. Y ⊃ X 15, Material Implication\r\n" ); document.write( "\r\n" ); document.write( "17. ∼B ⊃ X 13,16, Hypothetical syllogism\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |