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# Is there a set thatcontains every set?

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## Related Questions

###### Asked in Math and Arithmetic, Algebra, Geometry

### Why a null set is subst of every set?

The definition of subset is ;
Set A is a subset of set B if every member of A is a member of
B.
The null set is a subset of every set because every member of
the null set is
a member of every set. This is true because there are no members
of the null set,
so anything you say about them is vacuously true.

###### Asked in Math and Arithmetic, Algebra, Geometry

### What the universal set and a subset?

It is the set of all elements we are considering or dealing with
in a given problem. We use a capital U or sometimes capital E to
mean the universal set.
Now take ANY two sets, A and B. If every single element of set A
is contained in set B, we say A is a subset of B.
The empty set is a subset of every set.
Every set in contained in the universal set, so they are all
subset of it.

###### Asked in Math and Arithmetic, Algebra, Proofs

### What is trivial subset?

The trivial subsets of a set are those subsets which can be
found without knowing the contents of the set.
The empty set has one trivial subset: the empty set.
Every nonempty set S has two distinct trivial subsets: S and the
empty set.
Explanation:
This is due to the following two facts which follow from the
definition of subset:
Fact 1: Every set is a subset of itself.
Fact 2: The empty set is subset of every set.
The definition of subset says that if every element of A is also
a member of B then A is a subset of B. If A is the empty set then
every element of A (all 0 of them) are members of B trivially. If A
= B then A is a subset of B because each element of A is a member
of A trivially.