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5 Generalizations

Two generalizations of natural numbers arise from the two uses: ordinal numbers are used to describe the position of an element in a ordered sequence and cardinal numbers are used to specify the size of a given set.

For finite sequences or finite sets, both of these properties are embodied in the natural numbers.

Other generalizations are discussed in the article on numbers.

6 Footnote

¹ "... a tablet found at Kish ... thought to date from around 700 BC, uses three hooks to denote an empty place in the positional notation. Other tablets dated from around the same time use a single hook for an empty place." [1]

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Topics: Natural Number Numbers Set Definition Integers S''(''a...

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