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Q: What is finite sets?

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They are sets with a finite number of elements. For example the days of the week, or the 12 months of the year. Modular arithmetic is based on finite sets.

YES

sets

Closed sets and open sets, or finite and infinite sets.

Closed sets and open sets, or finite and infinite sets.

They are numbers that terminate.

There are finite sets, countably infinite sets and uncountably infinite sets.

The way I understand it, a finite set can not be an infinite set, because if it were an infinite set, then it would not be a finite set, and the original premise would be violated.

There are not just five finite sets, there are infinitely many. {1} {1,2} {2, water} {red, dog, dream} {sdf. csfk. dfo, df, gfpo} are five finite sets.

finite and infinite sets

If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.

One classification is: finite, countably infinite and uncountably infinite.

Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.

The positive integers less than 100 are a finite set. The positive integers greater than 100 are an infinite set.

Finite, countably infinite and uncountably infinite.

This is called a discrete set (all points isolated) or a finite set. Finite sets are always discrete.

There are any number of finite sets. Some are: the number of seats on a bus, the number of bees in a hive, and the number grains of rice in a ton of the grain.

A finite set is one containing a finite number of distinct elements. The elements can be put into a 1-to-1 relationship with a proper subset of counting numbers. An infinite set is one which contains an infinite number of elements.

It is a measure, but it isn't always sigma-finite. Take your space X = [0,1], and u = counting measure if u(E) < infinity, then E is a finite set, but there is no way to cover the uncountable set [0,1] by a countable collection of finite sets.

The cardinality of finite sets are the number of elements included in them however, union of infinite sets can be different as it includes the matching of two different sets one by one and finding a solution by matching the same amount of elements in those sets.

The set of your friends is finite. The set of counting numbers (part of which you will use to count your friends) is infinite.

here is the proof: http://planetmath.org/encyclopedia/ProductOfAFiniteNumberOfCountableSetsIsCountable.html

One possible classification is finite, countably infinite and uncountably infinite.

The number of elements in a Cartesian product is equal to the product in the number of elements of each set. The idea of a Cartesian product is that you combine each element from set A with each element from set B. If the product set (the Cartesian product) of sets A and B has a finite number of elements, this may be due to the fact that both A and B are finite. However, there is another possibility: that one of the sets, for example, set A, has zero elements, and the other is infinite. In this case, the Cartesian product would also have zero elements.

1]empty set 2]singleton set 3]finite set 4]infinite set >.<