Transmigration

Pythagoras used to say that he had received as a gift from Mercury the perpetual transmigration of his soul, so that it was constantly transmigrating and passing into all sorts of plants or animals.

Source: tatoeba (907460)

The theory of reincarnation is not an invention of spiritualism, on the contrary, you can find this idea in the theory of transmigration of Pythagoras.

Source: tatoeba (3120670)

Buddhist "rebirth" and Hindu "reincarnation" are technically different. Rebirth is the transmigration of "karmic tendencies" or "stream of consciousness." Meanwhile, reincarnation is the transmigration of "soul."

Source: tatoeba (10518635)

We see in nature the cycling or spiralling of things. Subsequently, we can surmise that a being may have such cycling or spiralling of life and death by some element, soul or consciousness stream, of that being. My father, before his death, told me that he would be reborn through "mind" transmigration in a new body, a baby, in a different world, "planet," he clarified. There, he would live a new life. Everywhere in nature, there is cycling or spiralling.

Source: tatoeba (10564039)