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

Question

Is there a symbol for the following set?

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

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. — goblin GONE, Apr 09 '14 at 01:57
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? — , Apr 09 '14 at 01:59

score 3 · Answer 1 · answered Apr 09 '14 at 01:52

3

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

answered Apr 09 '14 at 01:52

Trogdor

score 2 · Answer 2 · answered Apr 09 '14 at 01:53

2

I would use $\mathbb R^+$ though some authors use this symbol for $\{x\in\mathbb R: x\geq 0\}$.

answered Apr 09 '14 at 01:53

Melquíades Ochoa

score 1 · Answer 3 · answered Apr 09 '14 at 01:55

1

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

answered Apr 09 '14 at 01:55

3 Answers3