Final answer:
Ancient philosophy, as viewed by Hadot, emphasizes the pursuit of wisdom as a way of life and personal transformation through rational inquiry, distinguishing it from religion which is more rooted in faith and devotional practices.
Step-by-step explanation:
The distinction between ancient philosophy and religion, particularly as Pierre Hadot discusses in What is Ancient Philosophy?, lies in the former's emphasis on philosophy as a way of life coupled with the pursuit of wisdom and the latter's focus on faith and devotional practices. Ancient philosophy, as represented by figures like the Platonists, viewed philosophy as a means to achieving inner transformation, like the homoiosis theou, or becoming like God, a process that might involve mystical experiences resembling out-of-body experiences, as described by Plato in dialogues such as Phaedo.
While aspects of ancient philosophical schools may resemble religious belief in that they propose certain metaphysical truths, these are generally arrived at through intellectual processes and reasoning rather than revelation or dogmatic faith. Furthermore, ancient philosophy and religions differ in the role philosophy plays in personal and ethical development, as well as the value placed on rational inquiry.