Continuity of memories as a proof of the existence of self

Buddhism denies existence of any Self.But I think I can prove the existence of Self as fundamental by the logic of continuity of memories. I define Self as someone who remembers the past essence. Examples to demonstrate the applicability of the definition above: 1. Buddha. Buddha is the essence of Gautama. Buddha's knowledge is immortal. Who remembers this essence? My answer will be that Self remembers Buddha. And moreover because Buddha's knowledge is immortal, that self becomes immortal and therefore fundamental. 2. MySelf. I exist. I can remember my past essence that Truth is Supreme. Who remembers this essence of me ? My answer will be that my Self remembers my essence. Therefore we see that self can be found as someone who remembers past essence.This self is imperishable.