Math and Arithmetic

# What are examples of the law of closure in Mathematics?

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There is no law of closure. Closure is a property that some sets have with respect to a binary operation.

For example, consider the set of even integers and the operation of addition. If you take any two members of the set (that is any two even integers), then their sum is also an even integer. This implies that the set of even integers is closed with respect to addition. But the set of odd integers is not closed with respect to addition since the sum of two odd integers is not odd. Neither set is closed with respect to division.

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## Related Questions

The law of closure states that a set of numbers is closed under an operation if when the operation is performed on any two elements of the set the result is an element of the set

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In mathematics, closure is a property of a set, S, with a binary operator, ~, defined on its elements.If x and y are any elements of S then closure of S, with respect to ~ implies that x ~ y is an element of S.The set of integers, for example, is closed with respect to multiplication but it is not closed with respect to division.

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No. Closure is the property of a set with respect to an operation. You cannot have closure without a defined set and you cannot have closure without a defined operation.

It came from Gestaltist Principle of The law of closure: People tend to fill in missing pieces to form a complete picture. However, it is back formation from closure to cloze, not cloze method though.

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