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What is infinite set in math?

Updated: 12/23/2022
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An infinite set whose elements can be put into a one-to-one correspondence with the set of integers is said to be countably infinite; otherwise, it is called uncountably infinite.

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Q: What is infinite set in math?
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Different kinds of set in math?

There are many ways of classifying sets. One way is by the size of the set: its cardinality.On this basis a set may beFinite,Countably infinite, orUncountably infinite.


Example of Infinite set?

Even in math, the word "infinite" has different meanings in different contexts. Infinite sets include the set of natural numbers, the set of integers, the set of rational numbers, the set of irrational numbers, the set of real numbers, and the set of complex numbers.


What is infinite and finite set in math?

A set is finite if there exists some integer k such that the number of elements in k is less than k. A set is infinite if there is no such integer: that is, given any integer k, the number of elements in the set exceed k.Infinite sets can be divided into countably infinite and uncountably infinite. A countably infinite set is one whose elements can be mapped, one-to-one, to the set of integers whereas an uncountably infinite set is one in which you cannot.


Is the set of integers a finite or an infinite set?

The set of integers is an infinite set as there are an infinite number of integers.


Is the intersection of two infinite sets always an infinite set?

No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.


Does math end?

No it's infinite.


Can a subset of infinite set be infinite?

Yes. For example, the set of odd natural numbers is a infinite subset of the set of integers.


What are the different types a of set?

A null set, a finite set, a countable infinite set and an uncountably infinite set.


What is infinite set?

Infinite set is a counting number has no end.ex:{1,2,3,4....}


Which number can divided by 3 without leaving a remainder?

The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three.


Is a set of mammals infinite?

No. Large, but not infinite.


What is the math definition of infinite in math?

Either define finite first (usually as equivalent to a set of the form {1,2,3,...,n} for an integer n, in which case infinite is not finite; or use a set is infinite if and only if it is equivalent to a proper subset of itself. Equivalent sets A and B are those for which there is a function f taking A into B which is bijective (one-to-one and onto). For example, the positive integers are infinite because we have the pairing: 1 -> 2, 2 -> 4, 3-> 6, ..., n -> 2n, ...; so {1,2,3,...} is equivalent to its subset {2,4,6,...}