Yes, the number of Intergers is ℵ0, the number of real numbers ℵ1, and this is what people generally mean with some infinities are bigger than others. Infinities can also be seem bigger than another, but be mathematically equal. The number of natural, real and rational numbers are all infinite, and might seem different, but they are all proven ℵ0.
Claypidgin was talking about the real numbers between [0,1] and [0,2], which are both ℵ1 infinite. Some infinities are indeed bigger than others, but those 2 are still the same infinity.
Yes, the number of Intergers is ℵ0, the number of real numbers ℵ1, and this is what people generally mean with some infinities are bigger than others. Infinities can also be seem bigger than another, but be mathematically equal. The number of natural, real and rational numbers are all infinite, and might seem different, but they are all proven ℵ0.
Claypidgin was talking about the real numbers between [0,1] and [0,2], which are both ℵ1 infinite. Some infinities are indeed bigger than others, but those 2 are still the same infinity.