primitive recursive

  • 121Completeness — In general, an object is complete if nothing needs to be added to it. This notion is made more specific in various fields. Contents 1 Logical completeness 2 Mathematical completeness 3 Computing 4 …

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  • 122List of computing topics — Originally, the word computing was synonymous with counting and calculating, and the science and technology of mathematical calculations. Today, computing means using computers and other computing machines. It includes their operation and usage,… …

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  • 123Arithmetical hierarchy — In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The… …

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  • 124Diagonal lemma — In mathematical logic, the diagonal lemma or fixed point theorem establishes the existence of self referential sentences in certain formal theories of the natural numbers specifically those theories that are strong enough to represent all… …

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  • 125Hales–Jewett theorem — In mathematics, the Hales–Jewett theorem is a fundamental combinatorial result of Ramsey theory, concerning the degree to which high dimensional objects must necessarily exhibit some combinatorial structure; it is impossible for such objects to… …

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  • 126Paris–Harrington theorem — In mathematical logic, the Paris–Harrington theorem states that a certain combinatorial principle in Ramsey theory is true, but not provable in Peano arithmetic. This was the first natural example of a true statement about the integers that could …

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  • 127Van der Waerden number — Van der Waerden s theorem states that for any positive integers r and k there exists a positive integer N such that if the integers {1, 2, ..., N } are colored, each with one of r different colors, then there are at least k integers in arithmetic …

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  • 128Ambiguity — Sir John Tenniel s illustration of the Caterpillar for Lewis Carroll s Alice s Adventures in Wonderland is noted for its ambiguous central figure, whose head can be viewed as being a human male s face with a pointed nose and pointy chin or being… …

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