Russell's paradox is a standard way to show naïve set theory is flawed.
Naïve set theory uses the comprehension principle. This states that 'given any property there exists a set containing all objects that have that property'.
Russell's paradox demonstrates the looseness of this definition leads to a contradiction.
Consider the set defined by the property:
'The set of all sets which don't contain themselves.'
You will see in the video that this leads to a contradiction.
