You can say that R^2 has "more" points than R by inclusion: there is a natural injection of R into R^2 as a proper subspace. Think of the odd numbers in the int

You can say that R^2 has "more" points than R by inclusion: there is a natural injection of R into R^2 as a proper subspace. Think of the odd numbers in the integers, for example. "More" is a fairly loose concept in that there is no strict definition. You can use it to refer to cardinality, or some other sense of order.