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.
History
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.
"Numerology" in science
Scientific theories are sometimes labeled "numerology" if their primary inspiration appears to be a set of patterns rather than scientific observations. This colloquial use of the term is quite common within the scientific community and it is mostly used to dismiss a theory as questionable science.
The best known example of "numerology" in science involves the coincidental resemblance of certain large numbers that intrigued such eminent men as mathematical physicist Paul Dirac, mathematician Hermann Weyl and astronomer Arthur Stanley Eddington. These numerical co-incidences refer to such quantities as the ratio of the age of the universe to the atomic unit of time, the number of electrons in the universe, and the difference in strengths between gravity and the electric force for the electron and proton. ("Is the Universe Fine Tuned for Us?",
The discovery of atomic triads (dealing with elements primarily in the same group or column of the periodic table) was considered to be a form of numerology, and yet ultimately led to the construction of the periodic table. Here the atomic weight of the lightest element and the heaviest are summed, and averaged, and the average is found to be very close to that of the intermediate weight element. This didn't work with every triplet in the same group, but worked often enough to allow later workers to create generalizations.
Large number co-incidences continue to fascinate many mathematical physicists. For instance, James G. Gilson has constructed a "Quantum Theory of Gravity" based loosely on Dirac's large number hypothesis
Wolfgang Pauli was also fascinated by the appearance of certain numbers, including 137, in physics.
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