Explanation:

- Original sentence: There is no _reason_ for him to be angry.

- Option 1 - Logic: Logic refers to reasoning conducted or assessed according to strict principles of validity. It relates to reason, making it a suitable replacement.

- Option 2 - Sanity: Sanity involves the ability to think and behave in a normal and rational manner. It doesn't closely relate to "reason" in this context.

- Option 3 - Lucidity: Lucidity refers to clarity of expression or thought. It doesn't closely fit the context of "reason."

- Option 4 - Argument: Argument can mean a reason given like a justification but doesn't directly replace "reason" in this sentence.

- Correct Option: Logic