In logic, the operator 'or' means what?

In logic, the operator 'or' means what?

• A. One or the other, but not all
• B. Both or all
• C. Neither nor
• D. Always exclusive with 'and'

Answer: (A)

The statement tests how the operator “or” is interpreted in a way that yields true when exactly one of the propositions is true. In this problem, the intended meaning is exclusive or: one or the other, but not both. That means if one proposition is true and the other is false, the disjunction is true; if both are true, it’s false; and if both are false, it’s also false. The option that captures this exact-one-true condition is the best match. The other options describe scenarios where both could be true (which would make the exclusive interpretation false), where neither is true, or mix operators in a way that doesn’t align with the standard exclusive-or behavior, so they don’t fit as well.

The statement tests how the operator “or” is interpreted in a way that yields true when exactly one of the propositions is true. In this problem, the intended meaning is exclusive or: one or the other, but not both. That means if one proposition is true and the other is false, the disjunction is true; if both are true, it’s false; and if both are false, it’s also false. The option that captures this exact-one-true condition is the best match. The other options describe scenarios where both could be true (which would make the exclusive interpretation false), where neither is true, or mix operators in a way that doesn’t align with the standard exclusive-or behavior, so they don’t fit as well.