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Summary Of: Gödel numbering

A Gödel numbering can be interpreted as an... In the specific Gödel numbering used by Nagel and Newman... A Gödel numbering is not unique... an alternative Gödel numbering could be constructed by invertibly mapping this set of symbols... Once a Gödel numbering for a formal theory is established... one can use a Gödel numbering to indirectly make statements about the theory itself... the term Gödel numbering is sometimes used when the assigned...

Encyclodia Page On: Gödel numbering

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Numbering (computability theory) | mathematical logic | function | well-formed formula | formal language | natural number | Kurt Gödel | incompleteness theorem | encoding | symbol | mathematical notation | natural numbers | prime factorization | fundamental theorem of arithmetic | prime factors | Gödel numbering for sequences | invertible function | bijective base-K numeral system | inference rule | Peano arithmetic | formal systems | computability theory | formal language | algorithm | group | Turing machines | Church numeral | Description number | Gödel's incompleteness theorems | Chaitin's incompleteness theorem | Ernest Nagel | James R. Newman | Gödel, Escher, Bach: an Eternal Golden Braid | Douglas Hofstadter | I Am a Strange Loop | Douglas Hofstadter | Categories | Mathematical logic | Theory of computation |
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