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Q: What is a set that is not finite?

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prove that every subset of a finite set is a finite set?

Finite, no.

all finite set is countable.but,countable can be finite or infinite

A finite set has a finite number of elements, an infinite set has infinitely many.

It is a set which contains a finite number of elements.

In mathematics, a finite set is a set that has a finite number of elements. For example, (2,4,6,8,10) is a finite set with five elements. The number of elements of a finite set is a natural number (non-negative integer), and is called the cardinality of the set. A set that is not finite is called infinite. For example, the set of all positive integers is infinite: (1,2,3,4, . . .)

An empty set (null set) is considered finite.

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

finite

A set which containing $and pi are the end blocks are the finite and without these are infinite

The empty set is a finite set.

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.

A finite set is a set that has numbers you can count. Its not like infinite with no end it has an end.

A set which containing $and pi are the end blocks are the finite and without these are infinite

The set 3.5.7 is finite.The set 3.5.7 is finite.The set 3.5.7 is finite.The set 3.5.7 is finite.

y64

Finite

It is called in infinite set.

It is called in infinite set.

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

It is finite, but there would be many possible combinations.

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From now on I will consider language to be a set of(infinite or finite) of sentences, each finite in length and constructed our of a finite set of elements

A finite set, possibly.