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It's false that Janet makes jello if and only if Janet does not make jello.

A. True
B. False

1 Answer

3 votes

Final answer:

The statement presents a logical contradiction because it asserts that Janet makes jello if and only if she doesn't make jello, which is impossible. Hence, the statement is false.

Step-by-step explanation:

The statement "It's false that Janet makes jello if and only if Janet does not make jello" is a logical paradox. The phrase "if and only if" is a biconditional logical connective that means both conditions must either be both true or both false. However, the statement sets up a condition that Janet makes jello if and only if she does not make jello, which is a contradiction. This is impossible because Janet cannot both make and not make jello at the same time. Therefore, the statement itself is false.

User Pratik Singhal
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