- #1

kokolovehuh

- 23

- 0

**What is {ℝ}?**

Hi,

Someone I know tried to convey me the meaning of {[itex]ℝ[/itex]}, stating it represents a set of real numbers. But using notation, {[itex]ℝ[/itex]}, is implying that the real space is (improperly) contained in a set, and I don't think this makes any logical sense.

On the other hand, we can say {[itex]x \in S | \forall S \in ℝ[/itex]}, etc...or simply [itex]x \in ℝ[/itex].

Another way of thinking about this is instead of putting your foot in a sock, you are putting the sock into your foot and it's disturbing.

Am I right or wrong?

Thanks