It can be argued that there are at least three popular, contradictory notions of the self or person. First, a major tenet of Western philosophy is the existence and importance of a self - the Delphic dictum "know thyself," Socrates's "the unexamined life (of a person) is not worth living," and the Stoics' emphasis on cultivating personal virtues as a means to achieve individual happiness and social harmony. The Enlightenment notion of individuals (persons) not only existing but having certain rights must also be included here.
Second, Buddhism also acknowledges the existence of the self but this religion's path to happiness and social flourishing involves meditation emphasizing an abandonment or transcendence of self, or a submerging of one's self into Nature.
Finally, the idea that the self is an "illusion" is a popular notion promoted by neuroscientists and a few psychologists and philosophers. That is, the self is an illusion arising from the brain (where does it exist and who/what is having this illusion?) that the "owner of a brain" (another interesting notion), and other brains and their language facilities and bodily speech organs, falsely claim is a self.
I fully accept that the self or person is somehow a product of and exists initially within the electro-chemical workings of brain tissue. That the self is neither a ghost nor homunculus in the cranium nor an eternal soul existing independent of the living embodied brain.