Chapter 15 of Ovid deals a lot with Pythagoras's Teachings. There are eleven teachings listed in all and I will relay them here.
1.Vegetarianism-Because as Dr. Sexson says you never know if an animal could turn out to be your kin.
2.Metempsychosis-from Wikipedia:is a philosophical term in the Greek language referring to transmigration of the soul, especially its reincarnation after death. It is a doctrine popular among a number of Eastern religions such as Hinduism, Buddhism, Jainism and Druzism wherein an individual incarnates from one body to another, either human, animal, or plant.Generally the term is only used within the context of Greek Philosophy, but has also been used by modern philosophers such as Schopenhauer and Kurt Gödel; otherwise the term transmigration is more appropriate. The word also plays a prominent role in James Joyce's Ulysses, and is associated also with Nietzsche.
3.The Eternal Flux-"the only constant is change"."For what was before is left behind: and what was not comes to be: and each moment is renewed." Ovid
4.Four ages of man-gold, silver, brass, iron, each less precious than the first.
5.The Elements-Earth, melting, is dilated to clear water: the moisture, rarified, changes to wind and air: then air, losing further weight, in the highest regions shines out as fire, the most rarified of all."-Ovid
6.Geological Changes-the Earth is every changing.
7.Physical Changes-we are ever changing.
8.Autogenesis- from Wikipedia:In biology the word autogenesis has been used to describe two similar concepts:
* Abiogenesis - the origin of life, as used by Aristotle and in modern theory.
* Orthogenesis - a discredited evolutionary idea that hypothesised a directed 'teleological' form of evolution.
Autogenesis may also have been used to mean a combination of the two, a purposeful, directed or 'special creation' abiogenesis event, the product of which undergoes orthogenesis.
The word was used in gnostic texts such as The Secret Book of John. There it was an honorary title given to the logos, Jesus the Christ.
From Ovid:"The cub that a she-bear has just produced is not a cub but a scarcely living lump of flesh: the mother gives it a body, by licking it, and shapes it into a form like that she has herself."
9.The Phoenix-renews and reproduces itself. From the ashes it arises.
10.Transfers of Power-One state falls, such as Troy, and another rises up from it much like the Phoenix.
11.The Sanctity of Life-Again, because we are every changing we may find ourselves changing into animals so it is not good to eat animals least it be ones relative.