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No non-A are B (F) All non-A are B. Operation? Truth value?

1) Conjunction, False
2) Conjunction, True
3) Disjunction, False
4) Disjunction, True

1 Answer

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The conjunction of a statement and its negation is always false due to the Law of Noncontradiction, therefore the correct answer is 1) Conjunction, False.

The statement 'No non-A are B' and its negation 'All non-A are B' cannot both be true at the same time because they express contradictory conditions. In logic, when we evaluate the conjunction of a statement and its negation, it will always have a truth value of false because both conditions cannot be satisfied simultaneously. This follows from the Law of Noncontradiction which states that a statement and its negation cannot both be true. The operation in question here is a conjunction because it involves an 'and' relationship between the two statements. Hence, the correct answer to the question is 1) Conjunction, False.

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