Gödel Numbering
978-613-0-06872-1
6130068727
132
2010-12-02
45.00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.In mathematical logic, a Gödel numbering is a function that assigns to each symbol and well-formed formula of some formal language a unique natural number, called its Gödel number. The concept was first used by Kurt Gödel for the proof of his incompleteness theorem. A Gödel numbering can be interpreted as an encoding in which a number is assigned to each symbol of a mathematical notation, after which a sequence of natural numbers can then represent a sequence of strings. These sequences of natural numbers can again be represented by single natural numbers, facilitating their manipulation in formal theories of arithmetic. Since Gödel's paper was published in 1931, the term "Gödel numbering" has been used to refer to more general assignments of natural numbers to mathematical objects.
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