Though only his minor philosophical works have survived, the basic elements of Iamblichus’ system can be understood from the references to his teachings in the writings of the 5th-century philosopher Proclus. He wrote, in Greek, the treatise known under the Latin name De Mysteriis (On the Egyptian Mysteries, 1821). His other works include: On the Pythagorean Life; The Exhortation to Philosophy, or Protrepticus; On the General Science of Mathematics; On the Arithmetic of Nicomachus; and Theological Principles of Arithmetic.
Iamblichus, more than any other single philosopher, has generally been credited with the transformation of the Neoplatonism advocated by Plotinus earlier in the 3rd century into the stiff and complicated, yet often profound, pagan religious philosophy, best known from the works of Proclus. Attempting to develop a theology encompassing all of the rites, myths, and divinities of syncretistic paganism, he was the first Neoplatonist to displace Plotinus’ purely spiritual and intellectual mysticism in favour of theurgy, the magical conjuration of the gods. Beyond the One of Plotinus, identical with the Good, Iamblichus asserted that a higher One exists outside the range of human knowledge and qualifications. To the three existing ethical virtues of Neoplatonism—political, purifying, and exemplary—he added the contemplative virtue and placed above all four the priestly, or unifying, virtues by which men obtain ecstatic union with the One. For his stress on theurgy and his elevation of the nonintellectual virtues, Iamblichus was known for the next two centuries as “the divine,” or “inspired.”