Answer:
The story in question is The Black Cat by Edgar Allan Poe.
1. The narrator states that he is not mad because the events he is about to narrate are very much out of the ordinary. Mad here refers to the state of not being in full control of ones perceptions, insane or mentally ill.
2. The narrators statement tells us that he really wants people to believe what he is about to say and is worried people may dissmiss his story as unreal.
3. He reveals that he is going to kick the bucket on the morrow.
4. He means that other people upon consideration of his story will not take appreciation of the nuances and the feelings of dread that it evokes within him. But that some person may process the entire ordeal in purely logic.
Cheers!