Because the Gita and other scriptures consider reincarnation a self-evident doctrine, they do not make arguments to support its truth. This is much the case with most of the doctrines that are a part of scared Vedic literature. However, philosophers and teachers have made many arguments in support of their perspectives or interpretations of both doctrine and scripture. They have taught that reincarnation explains many things.
It explains why some people suffer while others do not or why some children are born with exceptional talent. It accounts for memories and emotions that seem to come out of the blue and it accounts for reports of extraordinary experiences in other dimensions.
It accounts for thousands of near death experiences reported but those who went to other realms and returned to tell what they saw and heard. Rather than rejecting these reports because they go beyond what is strictly possible, Hinduism considers many of them truthful and valuable testimony.
Quote starts with “Because the Gita and other scriptures consider….” and ends with “many of them truthful and valuable testimony.”
See On Hinduism, by Irina Gajjar, Chapter Six, Karma and Reincarnation.