Maxims such as "Eat not the heart" and "Do not stir fire with a sword" were known as "symbols" and were followed by this sect.
One ritual practiced by this tradition involved setting an elaborate banquet and clearing it away without eating a bite. Candidates for admission into this sect were required to observe five years of silence. An early adherent of this tradition was the slave Zalmoxis, who went on to become the chief god of the Getae. Its founder was known for miracles like predicting the number of fish to be caught in a net and appearing in two cities at the same time. Maxims such as "Eat not the heart" and "Do not stir fire with a sword" were known as "symbols" and were followed by this sect. Its members practiced vegetarianism because of their belief in (*) metempsychosis, or the transmigration of souls into other animals. Other attributes of this Croton-based tradition include communal property and a prohibition against eating beans. For 10 points, name this Ancient Greek sect which taught the mathematical nature of reality.
One ritual practiced by this tradition involved setting an elaborate banquet and clearing it away without eating a bite.
Pythagoreanism [or: answers that include Pythagoras and a word indicating a cult, sect or religion]