Axiomatization: Difference between revisions

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m Reverted edits by Kokoriko to last version by Wik
You don't need to write <> when you mean "is not equal". The symbol ≠ is available.
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*Every natural number ''a'' has a successor, denoted by ''a'' + 1.
*There is no natural number whose successor is 0.
*Distinct natural numbers have distinct successors: if ''a'' <>&ne; ''b'', then ''a'' + 1 <>&ne; ''b'' + 1.
*If a property is possessed by 0 and also by the successor of every natural number it is possessed by, then it is possessed by all natural numbers.