Numerology is any of many systems, traditions or beliefs in a mystical or esoteric relationship between numbers and physical objects or living things.
Numerology and numerological divination by systems such as isopsephy were popular among early mathematicians, such as Pythagoras, but are no longer considered part of mathematics and are regarded as pseudomathematics by modern scientists. This is similar to the historical relationships between astrology and astronomy, and between alchemy and chemistry.
Today, numerology is often associated with the paranormal, alongside astrology and similar divinatory arts.
The term can also be used for those who place excess faith in numerical patterns, even if those people don't practice traditional numerology. For example, in his 1997 book Numerology: Or What Pythagoras Wrought, mathematician Underwood Dudley uses the term to discuss practitioners of the Elliott wave principle of stock market analysis.
Modern numerology often contains aspects of a variety of ancient cultures and teachers, including Babylonia, Pythagoras and his followers (Greece, 6th century B.C.), astrological philosophy from Hellenistic Alexandria, early Christian mysticism, early Gnostics, the Hebrew system of the Kabbalah, The Indian Vedas, the Chinese "Circle of the Dead", Egyptian "Book of the Masters of the Secret House" (Ritual of the Dead).
Pythagoras and other philosophers of the time believed that because mathematical concepts were more "practical" (easier to regulate and classify) than physical ones, they had greater actuality.
St. Augustine of Hippo (A.D. 354–430) wrote "Numbers are the Universal language offered by the deity to humans as confirmation of the truth." Similar to Pythagoras, he too believed that everything had numerical relationships and it was up to the mind to seek and investigate the secrets of these relationships or have them revealed by divine grace. See Numerology and the Church Fathers for early Christian views. However, that does not mean that Pythagoras had coined himself the system one calls numerology. Pythagoras had only paved the way to the observation of numbers as archetypes rather than mere numerals.
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