"Aristotle was no trustworthy witness. He misrepresented Plato, and he almost caricatured the doctrines of Pythagoras. There is a canon of interpretation, which should guide us in our examinations of every philosophical opinion: "The human mind has, under the necessary operation of its own laws, been compelled to entertain the same fundamental ideas, and the human heart to cherish the same feelings in all ages." It is certain that Pythagoras awakened the deepest intellectual sympathy of his age, and that his doctrines exerted a powerful influence upon the mind of Plato. His cardinal idea was that there existed a permanent principle of unity beneath the forms, changes, and other phenomena of the universe. Aristotle asserted that he taught that "numbers are the first principles of all entities." Ritter has expressed the opinion that the formula of Pythagoras should be taken symbolically, which is doubtless correct. Aristotle goes on to associate these numbers with the "forms" and "ideas" of Plato. He even declares that Plato said: "forms are numbers," and that "ideas are substantial existences — real beings." Yet Plato did not so teach. He declared that the final cause was the Supreme Goodness... "Ideas are objects of pure conception for the human reason, and they are attributes of the Divine Reason." Nor did he ever say that "forms are numbers." What he did say What he did say may be found in the Timaeus: "God formed things as they first arose according to forms and numbers." (Cousin: "History of Philosophy," I., ix.)"