Is Aleph 1 bigger than Aleph 0?

Could you clarify for me, in the realm of mathematical or philosophical constructs, does the concept of Aleph 1 inherently surpass the notion of Aleph 0 in terms of magnitude, significance, or any other measurable metric? I'm intrigued by the comparison and would appreciate a concise yet insightful explanation to help me grasp the essence of this inquiry.