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In mathematics, the natural numbers are those numbers used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country"). In common language, numbers used for counting colloquially called "cardinal numbers", and words used for ordering
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See moreAncient roots
The most primitive method of representing a natural number is to put down a mark for each object. Later, a set of objects could be tested for equality, excess or shortage—by striking out...
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Given the set of natural numbers and the successor function sending each natural number to the next one,...
See morePeano axioms
Many properties of the natural numbers can be derived from the five Peano axioms:
1. 0 is a natural number.
2. Every natural number has a successor which is also a natural number....
See more• "Natural number", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
• "Axioms and construction of natural numbers". apronus.com....
See moreTwo important generalizations of natural numbers arise from the two uses of counting and ordering: cardinal numbers and ordinal numbers.
• A natural number can be used to express the size of a finite set; more precisely, a cardinal number is a...
See more• Bluman, Allan (2010). Pre-Algebra DeMYSTiFieD (Second ed.). McGraw-Hill Professional. ISBN 978-0-07-174251-1 – via Google Books.
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