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Is there a symbol for the following set?

$$ \left\{ x \in \mathbb{R} : x > 0 \right\} $$

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    $\begingroup$ How about $(0,\infty)$ ? $\endgroup$ Commented Apr 9, 2014 at 1:49
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    $\begingroup$ How about $\mathbb{R}^{>0} ? $ $\endgroup$
    – user139708
    Commented Apr 9, 2014 at 1:50
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    $\begingroup$ Unfortunately, there aren't any standard notations for denoting $\{x \in \mathbb{R} : x > 0\}$ that don't presuppose the existence of $\mathbb{R}$. Which is a real shame, since this number system is nice enough that it deserves to stand on its own. $\endgroup$ Commented Apr 9, 2014 at 1:57
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    $\begingroup$ Duplicate of How does one denote the set of all positive real numbers? Apropos of most of the answers, see also Does set $\mathbb R^+$ include zero? $\endgroup$
    – user856
    Commented Apr 9, 2014 at 1:59

3 Answers 3

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Generally, $\mathbb{R}^+$ is used to denote the positive reals.

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  • $\begingroup$ But what does "generally" mean? ;) $\endgroup$ Commented Aug 14, 2016 at 15:05
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I would use $\mathbb R^+$ though some authors use this symbol for $\{x\in\mathbb R: x\geq 0\}$.

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I have seen people using $$\mathbb{R}_{>0},(0,\infty)\text{ and also }\mathbb{R}^+$$

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