SOLUTION: Create a proof for the following argument. 1.~D 2.B ⊃ (C ⊃ D) /~(B • C)
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-> SOLUTION: Create a proof for the following argument. 1.~D 2.B ⊃ (C ⊃ D) /~(B • C)
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Question 1208734
:
Create a proof for the following argument.
1.~D
2.B ⊃ (C ⊃ D) /~(B • C)
Answer by
math_tutor2020(3817)
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Here is one way to do the derivation. There may be other approaches.
Number
Statement
Line(s) Used
Reason
1
~D
2
B ⊃ (C ⊃ D)
:.
~(B • C)
3
(B • C) ⊃ D
2
Exportation
4
~(B • C)
3,1
Modus Tollens
Here's a list of
rules of inference and replacement