Incompleteness and Undecidability
A surjective function, also known as an onto function, is a type of mapping from one set to another where every element in the target set has at least one element from the domain that maps to it. This means that for a function to be surjective, the range of the function must completely cover the target set. Surjective functions are important because they demonstrate how every possible output is achievable from the inputs, which is vital for establishing connections in number theory and other mathematical structures.
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