From Pythagoras 

(whether by way of Socrates or not) 

Plato derived the Orphic elements in his philosophy: 

the religious trend, 

the belief in immortality, 

the other-worldliness, 

the priestly tone, 

and all that is involved in the simile of the cave; 

also his respect for mathematics, 

and his intermingling of intellect and mysticism.