A set larger than R

In this video I show that P(R), the set of subsets of the real number, is strictly larger than R (in terms of cardinalities). This shows, roughly speaking, that there’s a set that is more infinite than the real numbers. The proof uses Russell’s paradox, which is a neat technique showing that there is something that is not a set.

• #education
• #set
• #set_theory
• #russel
• #russels
• #paradox
• #math
• #subset
• #proof
• #cardinality
• #one_to_one
• #onto