Concepts Shared by Plato and Pythagoras

1) the tripartite division of the soul

2) the concept of the One and the Indefinite Dyad

3) the theory of education found in the Republic

4) the equivalency of the One and the Good, also shared with Aristotle

5) the idea that the soul of the philosopher attains order by contemplating those things which possess order in nature (found in the Republic and elsewhere)

6) the view that the goodness of anything is due to order and arrangement (an idea fleshed out in Plato's Gorgias)

7) the idea that the diverse universe is held together by geometry and mathematics

8) the teaching that numbers are ideas or forms

9) the use of musical symbolism.