Definition:Natural Numbers/Inductive Sets in Real Numbers
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Let $\R$ be the set of real numbers.
Then the natural numbers $\N$ are defined as:
- $\N := \displaystyle \bigcap \II$
where $\displaystyle \bigcap$ denotes intersection.
It follows from the definition of inductive set that according to this definition, $0 \notin \N$.
- Results about the natural numbers in $\R$ can be found here.