Why do sentences two and four mean “yes he was at my home,” when you don’t remember this verb?

If I had walked across a park and saw him at the opposite end of the park, I would have seen him. In this case “I saw him at home” and “I saw that he is home” purely imply that the male was at home, and you saw him.

At the house, I had seen him and you witnessed him and you were there too because in this case the “at the house” is referring to where you were, not him but him.

So with detonative and connotative meanings in mind, I would suggest “I saw that he is at home” is the closest match to “I saw him at home”. ”

” What does it mean to be an American?

When there is a single crowd ” The enthusiasm of the crowd” is correct, as is “The crowd’s enthusiasm”

If there were multiple crowds, “The enthusiasm of the crowds” and “The crowds’ enthusiasm” would be correct.