#MathsInMinutes Day 20: Introducing sets

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● A set is simply a collection of objects. The objects within a set are known as its elements. The idea of the set is a very powerful one, and in many ways sets are the absolutely fundamental building blocks of mathematics – more basic even than numbers.

● A set may have a finite or infinite number of elements, and is usually described by enclosing the elements in curly brackets { } .

● The order in which the elements are written does not matter in the specification of the set, nor does it matter if an element is repeated.

● Sets may also be made up from other sets, though great care must be taken in their description.

● One reason sets are so useful is because they allow us to retain generality, putting as little structure as possible onto the objects being studied.

● The elements within a set can be anything from numbers to people to planets, or a mix of all three, although in applications elements are usually related.

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