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A Development of Recursive Arithmetic in a Logic-free Equation Calculus

Book's cover
The cover of “Recursive Number Theory” - Open Library.
Recursive Number Theory - cover - The Open Library
Book's cover - The Open Library
Recursive Number Theory - cover - Google Books
Book's cover - Google Books

"Recursive Number Theory" was published by North-Holland Pub. Co. in 1957 - Amsterdam, the book is classified in Arithmetic genre, it has 190 pages and the language of the book is English.


“Recursive Number Theory” Metadata:

  • Title: Recursive Number Theory
  • Author:
  • Language: English
  • Number of Pages: 190
  • Is Family Friendly: Yes - No Mature Content
  • Publisher: North-Holland Pub. Co.
  • Publish Date:
  • Publish Location: Amsterdam
  • Genres: Arithmetic
  • Dewey Decimal Classification: 511.3/5
  • Library of Congress Classification: QA248.5 .G62

“Recursive Number Theory” Subjects and Themes:

Edition Specifications:

  • Format: [electronic resource]
  • Pagination: ➤  1 online resource (xii, 190 p.)

Edition Identifiers:

AI-generated Review of “Recursive Number Theory”:


"Recursive Number Theory" Table Of Contents:

  • 1- Definition by recursion
  • 2- Equation calculus
  • 3- Logical constants
  • 4- Fundamental theorems of arithmetic
  • 5- Formalisations of primitive recursive arithmetic
  • 6- Reductions to primitive recursion
  • 7- Elimination of parameters
  • 8- Gödel numbering and the incompleteness of arithmetic.

Snippets and Summary:

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"Recursive Number Theory" Description:

Google Books:

A deadly biochemical virus called Captain Trips kills nearly everyone it infects, and the individuals who survive the virus are sought by the government that engineered it.

Open Data:

Definition by recursion -- Equation calculus -- Logical constants -- Fundamental theorems of arithmetic -- Formalisations of primitive recursive arithmetic -- Reductions to primitive recursion -- Elimination of parameters -- Gödel numbering and the incompleteness of arithmetic

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