Q: Does a set of all sets contain itself?

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Two sets are equal if they both contain the same elements.

Yes all sets have subsets.Even the null set.

The set {1, 3} is a proper subset of {1, 2, 3}.The set {a, b, c, d, e} is a proper subset of the set that contains all the letters in the alphabet.All subsets of a given set are proper subsets, except for the set itself. (Every set is a subset of itself, but not a proper subset.) The empty set is a proper subset of any non-empty set.This sounds like a school question. To answer it, first make up any set you like. Then, as examples of proper subsets, make sets that contain some, but not all, of the members of your original set.

You can, of course, make up infinitely many sets that contain this number. Some important sets that include it are:The set of integers.The set of rational numbers.The set of real numbers.The set of complex numbers.

we can consider all infinite sets as equivlent sets if we go by the the cantor set theory.for eg. on a number line if we consider the nos. between 0 and 1 as a set then they are infinite. similarly the nos. between 0 and 5 can also be considered infinite and if considered as a set then they can be considered as equivalent

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Yes.

A non-element can be a set that does not contain any elements, known as the empty set or null set, denoted by {}. It is not considered an element in itself but rather a subset of all sets.

The power set of a set, S, is the set containing all subsets of S - including S, itself, and the null set.

If tiu have a set S, its power set is the set of all subsets of S (including the null set and itself).

You normally do not have an intersection of only one set. The intersection of a set with itself is the set itself - a statement that adds little value. The intersection of two sets is the set which contains elements that are in each of the two sets.

Equivalent sets are sets that have the same cardinality. For finite sets it means that they have the same number of distinct elements.For infinite sets, though, things get a bit complicated. Then it is possible for a set to be equivalent to a proper subset of itself: for example, the set of all integers is equivalent to the set of all even integers. What is required is a one-to-one mapping, f(x) = 2x, from the first set to the second.

ALL the elements in set A combined with all the elements in set B.Example:When A={1,2,3,4} and B={2,3,6} The union of Sets A and B would be: {1,2,3,4,6} , because both sets contain those numbers.

What are equal sets?? A set is a grouping of numbers. Set P = {1,4,9} if set Q is equal it must contain exactly the same numbers.

You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).

The empty set is a subset of all sets. No other sets have this property.

Two sets are equal if they both contain the same elements.

Yes all sets have subsets.Even the null set.