Why is an empty set a subset of any set? Shouldn't the concept of subset be included first? So any set contains an empty set? Why? What's the difference between inclusion and belonging? Is it because there will always be blank space left in Venn chart?

Why is an empty set a subset of any set? Shouldn't the concept of subset be included first? So any set contains an empty set? Why? What's the difference between inclusion and belonging? Is it because there will always be blank space left in Venn chart?

Inclusion relation is used between sets, and belonging relation is used between elements and sets
It can be understood that a subset of a set does not contain elements that the set does not have, and an empty set does not contain elements that the set does not have, so it is a subset of any set
The third mathematical crisis caused by Russell's fallacy has not been well solved. Empty set is only a temporary product, which is artificially prescribed to solve the crisis
Venn graph has a blank part, which is just to visualize the inclusion relation, that two sets are equal, or that its true subset is equal
The coincidence of Venn graph and the set