Answer:
The greatest fallacy is "All the members of this club have strong views, and all the men in this community have strong views. So all the men in this community are members of this club"
Step-by-step explanation:
Note: The question is to identify the greatest fallacy out of the statements made.
The greatest fallacy out of those three statements is the third. I.e." All the members of this club have strong views, and all the men in this community have strong views. So all the men in this community are members of this club."
Let U = All the men in this community have strong views
U can be called the universal set in this case because it is a set of all the men in the community
Let x = all the members of this club have strong views
x is a subset of U because all the members of the club are also members of the community
But it is possible we have members of the community who have strong views that are not members of the club because not all elements of the universal set will be in the subset. Therefore, not all men in the community are members of the club.