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#gödel_numbering_for_sequences

Gödel numbering for sequences

In mathematics, a Gödel numbering for sequences provides an effective way to represent each finite sequence of natural numbers as a single natural number. While a set theoretical embedding is surely possible, the emphasis is on the effectiveness of the functions manipulating such representations of sequences: the operations on sequences can be "implemented" using total recursive functions, and in fact by primitive recursive functions.

Mon 6th

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Gödel numbering Gödel numbering for sequences Gödel's β function Proof sketch for Gödel's first incompleteness theorem Chinese remainder theorem Gödel's incompleteness theorems Gödel, Escher, Bach Hofstadter sequence Gödel machine Constructible universe
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