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Rh to Plato, an assimilation to divinity as far as is possible to human beings."

Such is Platonism. "Out of Plato," says Ralph Waldo Emerson, "come all things that are still written and debated among men of thought." He absorbed the learning of his times—of Greece from Philolaus to Socrates; then of Pythagoras in Italy; then what he could procure from Egypt and the East. He was so broad that all philosophy, European and Asiatic, was in his doctrines; and to culture and contemplation he added the nature and qualities of the poet.

The followers of Plato generally adhered strictly to his psychological theories. Several, however, like Xenocrates, ventured into bolder speculations. Speusippus, the nephew and successor of the great philosopher, was the author of the Numerical Analysis, a treatise on the Pythagorean numbers. Some of his speculations are not found in the written Dialogues; but as he was a listener to the unwritten lectures of Plato, the judgment of Enfield is doubtless correct, that he did not differ from his master. He was evidently, though not named, the antagonist whom Aristotle criticised, when professing to cite the argument of Plato against the doctrine of Pythagoras, that all things were in themselves numbers, or rather, inseparable from the idea of numbers. He especially endeavored to show that the Platonic doctrine of ideas differed essentially from the Pythagorean, in that it presupposed numbers and magnitudes to exist apart from things. He also asserted that Plato taught that there could be no real knowledge, if the object of that knowledge was not carried beyond or above the sensible.

But 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: