Assume the first two statements are true: Tim knows Todd. Todd knows Kim. Is the statement 'Kim knows Tim' necessarily true, false, or not certain?

Assume the first two statements are true: Tim knows Todd. Todd knows Kim. Is the statement 'Kim knows Tim' necessarily true, false, or not certain?

• A. Not certain
• B. False
• C. True
• D. Cannot be determined

Answer: (A)

The main idea is that knowing is not guaranteed to work in both directions or to follow a simple chain to the right. From Tim knowing Todd and Todd knowing Kim, you can infer a possible path Tim → Todd → Kim, but that tells you nothing about whether Kim knows Tim. The fact that one person knows a second, and that second knows a third, does not force the third to know the first. So the statement “Kim knows Tim” isn’t guaranteed by the given facts; it could be true or false depending on additional information.

The main idea is that knowing is not guaranteed to work in both directions or to follow a simple chain to the right. From Tim knowing Todd and Todd knowing Kim, you can infer a possible path Tim → Todd → Kim, but that tells you nothing about whether Kim knows Tim. The fact that one person knows a second, and that second knows a third, does not force the third to know the first. So the statement “Kim knows Tim” isn’t guaranteed by the given facts; it could be true or false depending on additional information.