Difference between revisions of "User:Ccm/sandbox"
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| − | == '''Is 0 a | + | == '''Is 0 a natural number?''' == |
[[Image:AdditionZero.png]] | [[Image:AdditionZero.png]] | ||
| − | There seems to be no definite answer to this seemingly simple question, as seen very obviously in the [http://en.wikipedia.org/wiki/Natural_number wikipedia page on | + | There seems to be no definite answer to this seemingly simple question, as seen very obviously in the [http://en.wikipedia.org/wiki/Natural_number wikipedia page on natural numbers]. |
| − | ===Definitions=== | + | ===Definitions to consider=== |
#Number | #Number | ||
#Natural Number vs Whole Number | #Natural Number vs Whole Number | ||
| − | #Natural | + | #Natural Number as defined by Peano |
| − | The definition of number seen in [http://www.britannica.com/search?query=number&ct=&searchSubmit.x=0&searchSubmit.y=0 Encyclopedia Britannica Online], completely ignores the Natural Numbers and discusses the Positive and Negative Integers, then jumps to the Real and Complex Numbers. | + | ===Details=== |
| + | 1. The definition of number seen in [http://www.britannica.com/search?query=number&ct=&searchSubmit.x=0&searchSubmit.y=0 Encyclopedia Britannica Online], completely ignores the Natural Numbers and discusses the Positive and Negative Integers, then jumps to the Real and Complex Numbers. | ||
This defintion is a bit odd since it discusses positive and negative integers, but ignores 0. It also bypasses the Rational Numbers to discuss the Real Numbers and Complex Numbers. | This defintion is a bit odd since it discusses positive and negative integers, but ignores 0. It also bypasses the Rational Numbers to discuss the Real Numbers and Complex Numbers. | ||
| − | Often the Natural Numbers is | + | 2. Often the set of '''Natural Numbers''' is defined to begin at 1, described as 'Counting Numbers' and if 0 is included the set is then called the ''Whole Numbers''. (get citation) |
| − | + | ||
| + | 3. In Logic and Computer Science the set of Natural Numbers begins at 0, as numbers are defined by sets, and 0 relates to an empty set. | ||
[[Category:Tutorial pages]] | [[Category:Tutorial pages]] | ||
Latest revision as of 19:53, 29 May 2007
Is 0 a natural number?
There seems to be no definite answer to this seemingly simple question, as seen very obviously in the wikipedia page on natural numbers.
Definitions to consider
- Number
- Natural Number vs Whole Number
- Natural Number as defined by Peano
Details
1. The definition of number seen in Encyclopedia Britannica Online, completely ignores the Natural Numbers and discusses the Positive and Negative Integers, then jumps to the Real and Complex Numbers.
This defintion is a bit odd since it discusses positive and negative integers, but ignores 0. It also bypasses the Rational Numbers to discuss the Real Numbers and Complex Numbers.
2. Often the set of Natural Numbers is defined to begin at 1, described as 'Counting Numbers' and if 0 is included the set is then called the Whole Numbers. (get citation)
3. In Logic and Computer Science the set of Natural Numbers begins at 0, as numbers are defined by sets, and 0 relates to an empty set.
