
Answer: yes

Claim:



Proof continued...


Therefore:


$64,000 question:

Assume that R ∈ R, then:
Since: R = { x  x ∉ x } and: R ∈ R Therefore: R ∉ R !!! Contradicts the assumption that R ∈ R 
Assume that R ∉ R, then:
Since: R = { x  x ∉ x } and: R ∉ R Therefore: R ∈ R !!! Contradicts the assumption that R ∉ R 
We conclude that R ∈ R and R ∉ R are both incorrect...
