Identity
From Serial Experiments Lain wiki
A recurring theme throughout the Serial Experiments Lain franchise is the question of Lain Iwakura's identity. She displays several different personalities in the anime and often appears in two places at once, suggesting that there is more than one Lain.
Lain repeatedly asks herself "Who am I?" or convinces herself "I am myself!" in order to assert her identity. However, as she is the product of the human collective unconscious through the Wired, it is natural for her to take on different identities in the minds of each user of the Wired. A scene in Layer 08 shows a vast number of chattering Lain mannequins that represent all the forms of Lain in other people's eyes.