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merged two sentences to make them more concise and flow a bit better when reading
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> Every generalization of number has first presented itself as needed for some simple problem: negative numbers were needed in order that subtraction might be always possible, since otherwise a − b would be meaningless if a were less than b; fractions were needed in order that division might be always possible; and complex numbers are needed in order that extraction of roots and solution of equations may be always possible.
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> Bertrand Russell, from Introduction to Mathematical Philosophy
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Note that most mathematical operations, such as addition, multiplication, etc. require two numbers in order to produce a result. This does not mean that they are not functions. It means that they are just a little more fancy ones. Depending on what we need, we may present those operations as functions from the sets of *tuples* of numbers to the set of numbers, or we may say that they take a number and return a function. More on that later.
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Note that most mathematical operations, such as addition, multiplication, etc. require two numbers in order to produce a result. This does not mean that they are not functions, it just means they're a little fancier. Depending on what we need, we may present those operations as functions from the sets of *tuples* of numbers to the set of numbers, or we may say that they take a number and return a function. More on that later.
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Sets and Functions in Programming
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===
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