Pythagoras (approximately 569 BCE – 475 BCE, Greek: Πυθαγόρας) was an Ionian mathematician and philosopher, founder of the mysterious religious and scientific society called Pythagoreans, known best for the Pythagorean theorem which bears his name. Known as "the father of numbers", Pythagoras made influential contributions to philosophy and religious teaching in the late 6th century BC. Because legend and obfuscation cloud his work even more than with the other pre-Socratics, one can say little with confidence ...

Including:

• Pythagoras - Biography
• Pythagoras - Pythagoreans
• Pythagoras - Literary works
• Pythagoras - Scientific contributions

Read more here: » Pythagoras: Encyclopedia - Pythagoras

See also:

Pythagoras, Pythagoras - Biography, Pythagoras - Pythagoreans, Pythagoras - Literary works, Pythagoras - Scientific contributions

Read more here: » Pythagoras: Encyclopedia II - Pythagoras - Scientific contributions

Pythagoras' followers were commonly called "Pythagoreans." For the most part we remember them as philosophical mathematicians who had an influence on the beginning of axiomatic geometry, which after two hundred years of development was written down by Euclid in The Elements. The Pythagoreans are known for their theory of the transmigration of souls, and also for their theory that numbers constitute the true nature of things. They performed purification rites and followed ascetic, dietary and moral rules which they believed would enable their soul to ...

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Pythagoras, Pythagoras - Biography, Pythagoras - Pythagoreans, Pythagoras - Literary works, Pythagoras - Scientific contributions

Read more here: » Pythagoras: Encyclopedia II - Pythagoras - Pythagoreans

 The art and science of numerology has existed for thousands of years, though its exact origins are uncertain. The ancient Egyptians certainly understood the power and meaning of numbers, though the father of mathematics, Greek philosopher Pythagoras (569-470 BC), is generally credited as being the founder of modern numerology. Interestingly, Pythagoras also believed in reincarnation, and that life is a journey of lessons and challenges that lead to spiritual evolution.

Read more here: » Numerology: Introduction To Numerology

Pythagoreanism is a term used for the esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were much influenced by mathematics and probably a main inspiration source to Plato and platonism. One main subject that is part of pythagoreanism is musica universalis, the music of the spheres. Some Surat Shabda Yoga, Satgurus considered the music of the spheres to be a term synonymous with the Shabda or the Audible Life Stream in that tradition, becaus ...

Including:

• Pythagoreanism - Influence
• Pythagoreanism - Pythagorean cosmology
• Pythagoreanism - Influences
• Pythagoreanism - Reference

Read more here: » Pythagoreanism: Encyclopedia - Pythagoreanism

Pythagoras was born on the island of Samos, off the coast of Asia Minor. He was born to Pythais (a native of Samos) and Mnesarchus (a merchant from Tyre). As a young man, he left his native city for Croton in Southern Italy, to escape the tyrannical government of Polycrates. Many writers credit him with visiting the sages of Egypt and Babylon before going west; such travels feature in the biographies of many Greek sages. Upon his migration from Samos to Croton, Pythagoras established a secret religious society very similar to (and possibly ...

See also:

Pythagoras, Pythagoras - Biography, Pythagoras - Pythagoreans, Pythagoras - Literary works, Pythagoras - Scientific contributions

Read more here: » Pythagoras: Encyclopedia II - Pythagoras - Biography

Emerson, Plato, Pythagoras had perfect belief in the doctrine of reincarnation. The doctrine of reincarnation is the foundation of Hinduism and Buddhism. The ancient Egyptians believed it. The Greek philosophers made it the corner-stone of their philosophy.
Man clings to this earthly life. This clinging to life proves that there is past experience and existence. This proves also that there is a future life. Man likes this life immensely and strongly yearns for a future life also.

The death and dying and the life after death has always fascinated man. This is an excerpt from the book What Becomes Of The Soul After Death by Sri Swami Sivananda.

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The doctrine of reincarnation is accepted by the majority of mankind at the present day. It has been held as true by the mightiest Eastern nations. The ancient civilisation of Egypt was built upon this doctrine and it was handed over to Pythagoras, Plato, Virgil and Ovid, who scattered it through Greece and Italy. It was the keynote of Plato�s philosophy �

The death and dying and the life after death has always fascinated man. This is an excerpt from the book What Becomes Of The Soul After Death by Sri Swami Sivananda.

Read more here: » Reincarnation: Karma And Reincarnation - II

Numerology is the study of the purported mystical or esoteric relationship between numbers and the character or action of physical objects and living things. Numerology and numerological divination were popular among early mathematicians such as Pythagoras, but are no longer considered to be part of mathematics and are now regarded as pseudomathematics by most mathematicians. This is similar to the historical development of astronomy from astrology, and that of chemistry from alchemy. Numerology - Esoteric signifi ...

Including:

• Numerology - Esoteric significance of numbers
• Numerology - One
• Numerology - Two
• Numerology - Three
• Numerology - Four
• Numerology - Five
• Numerology - Six
• Numerology - Seven
• Numerology - Eight
• Numerology - Nine
• Numerology - Ten
• Numerology - Eleven
• Numerology - Twelve
• Numerology - Thirteen
• Numerology - Twenty-two
• Numerology - Zero
• Numerology - Alphabetic harmonics
• Numerology - Numerological divination
• Numerology - Numerology in science
• Numerology - Postmodern critique
• Numerology - Numerology and astrology
• Numerology - In popular culture
• Numerology - Days of Birth reveal your character
• Numerology - Sunday born
• Numerology - Monday born
• Numerology - Tuesday born
• Numerology - Wednesday born
• Numerology - Thursday born
• Numerology - Friday born
• Numerology - Saturday born

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Sacred geometry is geometry that is sacred to the observer or discoverer of the geometry. This meaning is sometimes described as being the language of the God of the religion of the people who discovered or used it. Sacred geometry can be described as attributing a religious or cultural value to the graphical representation of the mathematical relationships and the design of the man-made objects that sy ...

Including:

• Sacred geometry - External link

Read more here: » Sacred geometry: Encyclopedia - Sacred geometry

Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. It was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See areas of mathemat ...

Including:

• Geometry - The earliest geometry
• Geometry - The Greek period c. 600 B.C. – 600 A.D.
• Geometry - Thales and Pythagoras
• Geometry - Plato
• Geometry - Euclid
• Geometry - Archimedes
• Geometry - After Archimedes
• Geometry - The Middle Ages Renaissance and Reformation
• Geometry - The 17th and early 18th centuries
• Geometry - The late 18th and 19th centuries
• Geometry - Non-Euclidean geometry
• Geometry - Introduction of mathematical rigor
• Geometry - Analysis situs or topology
• Geometry - The 20th century

Read more here: » Geometry: Encyclopedia - Geometry

Apollonius of Tyana (13 March 2 – 98?) was a Neo-Pythagorean philosopher and teacher of Greek origin. His teaching influenced scientific thought for centuries after his death. He is best known through the medium of the writer Philostratus, in whose biography some have seen an attempt to construct a rival to Jesus Christ. Apollonius was a vegetarian, and a disciple of Pythagoras. He is quoted as having said "For I discerned a certain sublimity in the discipline of Pythagoras, and how a certain secret wisdom enabled him to know ...

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A pentagram is a five-pointed star drawn with five straight strokes. In fact, the word pentagram comes from the Greek word πεντάγραμμον (pentagrammon), a noun form of πεντάγραμμος (pentagrammos) or πεντέγραμμος (pentegrammos), a word meaning roughly "five-lined" or "five lines". The name indicates that a pentagram is not simply a five-pointed star; the symbol must be composed of five lines. That is, it must include the interior pentagon. It is also known as a pentacle, pentalpha (as it ...

Including:

• Pentagram - Geometry
• Pentagram - Some relevant trigonometric values
• Pentagram - History
• Pentagram - Pythagorean use
• Pentagram - Christian use
• Pentagram - Satanic use
• Pentagram - Neopagan Use
• Pentagram - Brigate Rosse
• Pentagram - Flags
• Pentagram - In literature
• Pentagram - 3D

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The Ancient Greek aphorism "Know thyself" (Greek: ΓΝΩΘΙ ΣΑΥΤΟΝ or gnothi sauton) was inscribed in golden letters at the lintel of the entrance to the Temple of Apollo at Delphi. The phrase has been attributed to at least five ancient Greek sages: Chilon of Sparta Thales of Miletus Socrates Pythagoras Solon of Athens Other sources attribute it to Phemonoe, a mythical Greek poetess. Accor ...

Read more here: » Know thyself: Encyclopedia - Know thyself

Musica universalis or music of the spheres is a medieval philosophical concept that regards the proportions in the movements of the celestial bodies - the Sun, Moon and planets - as a form of musica (the medieval Latin name for music). This music was not thought of as an audible sound, but simply as a mathematical concept. The Greek philosopher Pythagoras was frequently credited with originating the concept, which stemmed from his semi-mystical, semi-mathematical philosophy and its associated system of numerology. (See Pythagor ...

Read more here: » Musica universalis: Encyclopedia - Musica universalis

Macrocosm and microcosm is an ancient Greek schema of seeing the same patterns reproduced in all levels of reality. It may have begun with Democritus in the fifth century B.C. or with Pythagoras and is a philosophical conception that runs through Socrates, and Plato and through to the Renaissance. With Pythagoras, the discovery of the golden ratio and its philosophical conception called the Golden mean, the Greeks saw that this golden ratio is repeated in all parts of the ordered universe both large and small. The Greeks were very con ...

Including:

• Macrocosm and microcosm - Ancient thought
• Macrocosm and microcosm - Medieval and modern thought
• Macrocosm and microcosm - Bibliography

Read more here: » Macrocosm and microcosm: Encyclopedia - Macrocosm and microcosm

In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena. They are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to positive and negative values and even to comp ...

Including:

• Trigonometric function - List of trigonometric functions
• Trigonometric function - History
• Trigonometric function - Right triangle definitions
• Trigonometric function - Mnemonics
• Trigonometric function - Slope definitions
• Trigonometric function - Unit-circle definitions
• Trigonometric function - Series definitions
• Trigonometric function - Relationship to exponential function
• Trigonometric function - Definitions via differential equations
• Trigonometric function - The significance of radians
• Trigonometric function - Other definitions
• Trigonometric function - Computation
• Trigonometric function - Inverse functions
• Trigonometric function - Identities
• Trigonometric function - Properties and applications
• Trigonometric function - Law of sines
• Trigonometric function - Law of cosines
• Trigonometric function - Law of tangents

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Heraclitus of Ephesus (Greek Ήράκλειτος Herakleitos) (about 535 - 475 BC), known as 'The Obscure,' was a pre-Socratic Greek philosopher from Ephesus in Asia Minor. As with other pre-Socratics, his writings only survive in fragments quoted by other authors. He disagreed with Thales, Anaximander, and Pythagoras about the nature of the ultimate substance and claimed instead that everything is derived from the Greek classical element fire, rather than from air, wate ...

Read more here: » Heraclitus: Encyclopedia - Heraclitus

The word monad comes from the Greek word μονάς (from the word μόνος, which means "one", "single", "unique") and has had many meanings in different contexts in philosophy, mathematics, computing and music: Among the Pythagoreans (followers of Pythagoras) the monad was the first thing that came into existence. The monad begot the dyad, which begot the numbers, the numbers begat points, which begot lines, which begat two-dimensional entities, which begat three-dimensional entities, which begat bodies, ...

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Pythagoras

Greek philosopher from Samos noted for his doctrine of the Harmony of the Spheres and teaching that all is number. (-6th century)

(See also: Pythagoras, Body Mind and Soul)