# Cardinality of R^N

1. Jun 2, 2010

### jostpuur

What's the cardinality of $$\mathbb{R}^{\mathbb{N}}$$?

It must be $$\mathbb{R}$$ or $$\{0,1\}^{\mathbb{R}}$$, but I'm not sure which.

2. Jun 2, 2010

### Hurkyl

Staff Emeritus
Arithmetic to the rescue!

RN = (2N)N = ...