The set of people who answered this question before I did.

There is only one empty set (a consequence of the Axiom of Extensionality). So the above answer is correct, and is equal to every other example.

No, it is the empty set. Then the set containing only the number 0 (Peano's first axiom).

An axiom system is a set of axioms or axiom schemata from which theorems can be derived.

An empty set is not a proper subset of an empty set.

An empty set is not a proper subset of an empty set.

An empty set is not a proper subset of an empty set.

An empty set is not a proper subset of an empty set.

It's an axiom.

Yes it is. Everything in the empty set (which is nothing of course) is also in the empty set. If it's not in the empty set, it's not in the empty set. The empty set has no propersubsets, though, or subsets that are different from it.

Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.

The empty set is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)

difinition of empty set

The empty set is a set that has no elements.

The only subset of an empty set is the empty set itself.

empty set is a set because its name indicate as it is the set.

It isn't. The empty set is a subset - but not a proper subset - of the empty set.

The empty element is a subset of any set--the empty set is even a subset of itself. But it is not an element of every set; in particular, the empty set cannot be an element of itself because the empty set has no elements.

null

The complement of an empty set is universal set

an empty set does not have any element

An 'Empty Set' or a 'Nul Set'.

An empty set is a set with no elements. It can be symbolized by {} or ø. The solution set for an equation that has no solution is also called an empty set.

yes, it is.

An empty set in math is called a null set.

Because it is axiometic concept so that it is empty set

An empty set is this { }

It's just a set with nothing in it.

An empty set (null set) is considered finite.

No. An empty set is a subset of every set but it is not an element of every set.

Because its still a set, although its empty or nothing in that set

{} {0}

* * * * *

The second example above is NOT of an empty set: it is the set that contains the number zero.

An empty set becomes an empty set by virtue of its definition which states that it is a set that contains no elements. In other words, it contains nothing, it is empty!

A null or empty set is a set that does not contain any elements.

The empty set is both reflexive and irreflexive.

Because every member of the empty set (no such thing) is a member of any given set.

Alternatively, there is no element in the empty set that is missing from the given set.

The power set of the empty has one member, which is the set whose member is the empty set .

{phi} ( Actually the symbol for the empty set is the Norwegian letter O which resembles the Greek letter phi but is a different symbol )

A null set is a set that does not contain any elements, an empty set.

empty set or null set is a set with no element.

An Axiom is a mathematical statement that is assumed to be true. There are five basic axioms of algebra. The axioms are the reflexive axiom, symmetric axiom, transitive axiom, additive axiom and multiplicative axiom.

null set or empty set, is a set with no elements.

Every set contains the empty set. Every set is a subset of itself.

The empty set is also sometimes referred to as the "Null" set.

An empty set is one that contains nothing. It does not contain zero, but nothing.

An empty set is one that contains nothing. It does not contain zero, but nothing.

An empty set is one that contains nothing. It does not contain zero, but nothing.

An empty set is one that contains nothing. It does not contain zero, but nothing.

yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other set.

Recall that Improper subset of A is the set that contains all and only elements of A. Namely A.

So does the empty set have all of A provided A is not empty? Of course not!

The empty set can be only considered an improper subset of itself.

To me, I believe that a power set is not empty. Here is my thought:

∅ ∊ P(A) where P(A) is the power set and A is the set.

This implies:

∅ ⊆ A

This means that A = ∅, but ∅ ∉ A. ∅ ∊ A if A = {∅} [It makes sense that ∅ ∊ {∅}]. Then, {∅} ⊆ A, so {∅} ∊ P(A) = {∅, {∅}}. That P(A) is not empty since it contains {∅} and ∅.

Yes, empty set means null which is no solution.

No, it is a meaningless sentence, not an axiom.

The empty set!

The empty set.

Null set

An empty set is considered a finite set because it contains zero (0) elements and zero is a finite number.

You cannot find an empty set in U because U is defined as a non-empty set.

The empty set has only one subset: itself. It has no proper subsets.