Mysterious functions

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I originally asked the following question in stackoverflow, but the question is closed because some members meant that the question is about math(see the following thread)

So I will give a try here:

I´m currently reading the book Java SE 8 for the Really Impatient. The author wrote in page 4:

"Curiously, there are functions that are known to exist, but nobody knows how to compute their values."

Could anyone give me an example of such a function?

Thank you in advance

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Interesting question. The best and only thing I can, however, do is to give you a link: Non-computable functions

Hopefully, this answers your question.