Does a set have distinct elements?

Each set has a certain number of (distinct) elements. That is its cardinality .

Can a set contain objects?

A set is a collection of objects. The objects are called the elements of the set. If a set has finitely many elements, it is a finite set, otherwise it is an infinite set. If the number of elements in a set is not too many, we can just list them out.

Is the set that contains all objects?

In set theory, a universal set is a set which contains all objects, including itself.

What is the term for the collection of elements from either of two sets?

The objects are called the elements of the set. If a set has finitely many elements, it is a finite set, otherwise it is an infinite set. If two sets A and B have the same elements, we say that they are equal, and write A = B. A subset of a set is a sub-collection of the set.

What makes a set unique?

A set is uniquely determined by its elements. This means that the only thing that defines what a set is is what it contains. So, how you choose to list or define the contents makes no difference to what the contents actually are.

What are the properties of sets?

What are the Basic Properties of Sets?

• Property 1. Commutative property.
• Property 2. Associative property.
• Property 3. Distributive property.
• Property 4. Identity.
• Property 5. Complement.
• Property 6. Idempotent.

Can sets have different types?

Sets can be classified into many types. Some of which are finite, infinite, subset, universal, proper, singleton set, etc.

What is the set of all possible elements of any set?

Universal Sets
Universal Sets: U is the set of all possible elements used in the problem. A Subset is a set that is contained in the Universal set.

Can a set contain itself?

First, it is possible for a set to be an element of itself. An example of a set which is an element of itself is {x|x is a set and x has at least one element}. This set contains itself, because it is a set with at least one element. Using this knowledge, Russell defined a special set, which we’ll call “R”.

Is the set contains all elements under consideration?

A set that contains all the elements under consideration in a given problem is called universal set.

Can a set belong to another set?

So yes! a set can belong to another set but should be considered as a eliment of that another set. Since belonging is a property of eliments not of sets.

Is a set distinct?

A set is a gathering together into a whole of definite, distinct objects of our perception or our thought—which are called elements of the set.