Q: Why is an empty set a finite set?

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An empty set (null set) is considered finite.

Set A is a finite set if n(A) =0 (that is, A is the empty set) or n(A) is a natural number. A set whose cardinality is not 0 or a natural number is called an infinite set.

Finite, no.

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

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

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An empty set (null set) is considered finite.

The empty set is a finite set.

Set A is a finite set if n(A) =0 (that is, A is the empty set) or n(A) is a natural number. A set whose cardinality is not 0 or a natural number is called an infinite set.

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

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.

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, . . .)

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

finite

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