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D ∨ ∼E

∼E
--------
D
a. AC—invalid.
b. DS—invalid.
c. Invalid.
d. MP—valid.
e. HS—valid

User Pzeszko
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1 Answer

4 votes

Final answer:

The argument presented is an example of disjunctive syllogism and is valid because, given the premises 'D ∨ ¬E' and '¬E', the conclusion 'D' logically follows.

Step-by-step explanation:

The question involves evaluating the validity of a logical argument using disjunctive syllogism. The premises given are D ∨ ¬E and ¬E, and the conclusion drawn is D. Disjunctive syllogism is a valid argument structure that asserts that if one of two statements must be true and one is false, then the other must be true. Therefore, given the premises D or not E and not E, the conclusion D must be true. The proposition D ∨ ¬E is a classic example of a logical statement involving an inclusive or, symbolized by the 'or' (∨). If this proposition is true, and the premise ¬E (not E) is true, then by disjunctive syllogism, D must be true, making the argument valid (d. MP—valid). This means option d, which refers to modus ponendo ponens (MP), correctly identifies the argument's validity.

User Yflelion
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8.4k points
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