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Peano axioms
In
mathematical logic
, the
Peano axioms
, also known as the
Dedekind–Peano axioms
or the
Peano postulates
, are a set of
axioms
for the
natural numbers
presented by the 19th century
Italian
mathematician
Giuseppe Peano
. These axioms have been used nearly unchanged in a number of
metamathematical
investigations, including research into fundamental questions of whether
number theory
is
consistent
and
complete
.
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