History of Peano postulates

	Revision 5 . . November 12, 2001 10:35 am by AxelBoldt [copyedit]
	Revision 4 . . (edit) November 12, 2001 8:02 am by Damian Yerrick [speling: joo-ZEP-pay]

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Difference (from prior major revision) (no other diffs)

Changed: 1,3c1

[Giuseppe Peano]? proposed 5 axioms that have come to be known as Peano postulates. There is a set N known as Natural numbers, which for the following five statements are true:

[Giuseppe Peano]? proposed the following 5 axioms for the natural numbers; they have come to be known as the Peano postulates.

Changed: 6c4

*Every natural number a has a successor, denoted by a + 1.

*Every natural number a has a successor, denoted by a + 1.

Changed: 9,11c7

*If a property is possessed by 0 and and also by the successor of every natural number it is possessed by, then it is possessed by all natural numbers These axioms are sometimes paraphrased different, starting at 1 instead of 0.

*If a property is possessed by 0 and and also by the successor of every natural number it is possessed by, then it is possessed by all natural numbers.

Added: 12a9

These axioms are sometimes paraphrased differently, starting at 1 instead of 0.

Added: 13a11,12

/Talk?