Pythagoreanism in the context of "Central Fire"

Pythagoras of Samos (Ancient Greek: Πυθαγόρας; c. 570 – c. 495 BC) was an ancient Ionian Greek philosopher, polymath, and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, Western philosophy. Modern scholars disagree regarding Pythagoras's education and influences, but most agree that he travelled to Croton in southern Italy around 530 BC, where he founded a school in which initiates were allegedly sworn to secrecy and lived a communal, ascetic lifestyle.

In antiquity, Pythagoras was credited with mathematical and scientific discoveries, such as the Pythagorean theorem, Pythagorean tuning, the five regular solids, the theory of proportions, the sphericity of the Earth, the identity of the morning and evening stars as the planet Venus, and the division of the globe into five climatic zones. He was reputedly the first man to call himself a philosopher ("lover of wisdom"). Historians debate whether Pythagoras made these discoveries and pronouncements, as some of the accomplishments credited to him likely originated earlier or were made by his colleagues or successors, such as Hippasus and Philolaus.

In philosophy and in common usage, an idea (from the Greek word: ἰδέα (idea), meaning 'a form, or a pattern') is the result of thought. Also in philosophy, ideas can also be mental representational images of some object. Many philosophers have considered ideas to be a fundamental ontological category of being. The capacity to create and understand the meaning of ideas is considered to be an essential and defining feature of human beings.

An idea arises in a reflexive, spontaneous manner, even without thinking or serious reflection, for example, when we talk about the idea of a person or a place. A new or an original idea can often lead to innovation. Our actions are based upon beliefs, beliefs are patterns or organized sets of ideas.

The musica universalis (literally universal music), also called music of the spheres or harmony of the spheres, is a philosophical concept that regards proportions in the movements of celestial bodies—the Sun, Moon, and planets—as a form of music. The theory, originating in ancient Greece, was a tenet of Pythagoreanism, and was later developed by 16th-century astronomer Johannes Kepler. Kepler did not believe this "music" to be audible, but felt that it could nevertheless be heard by the soul. The idea continued to appeal to scholars until the end of the Renaissance, influencing many schools of thought, including humanism.

Neopythagoreanism (or neo-Pythagoreanism) was a school of Hellenistic and Ancient Roman philosophy which revived Pythagorean doctrines. Neopythagoreanism was influenced by middle Platonism and in turn influenced Neoplatonism. It originated in the 1st century BC and flourished during the 1st and 2nd centuries AD. The Encyclopædia Britannica Eleventh Edition describes Neopythagoreanism as "a link in the chain between the old and the new" within Hellenistic philosophy. Central to Neopythagorean thought was the concept of a soul and its inherent desire for a unio mystica with the divine. The word Neopythagoreanism is a modern (19th century) term, coined as a parallel of "Neoplatonism".

Asceticism is a lifestyle characterized by abstinence from worldly pleasures through self-discipline, self-imposed poverty, and simple living, often for the purpose of pursuing spiritual goals. Ascetics may withdraw from the world or continue to be part of their society, but typically adopt a frugal lifestyle, characterized by the renunciation of material possessions and physical pleasures, and also spend time fasting while concentrating on religion, prayer, or meditation. Some individuals have also attempted an ascetic lifestyle to free themselves from addictions to things such as alcohol, smoking, drugs, sex, porn, lavish food, and entertainment.

Asceticism has been historically observed in many religious and philosophical traditions, most notably among Ancient Greek philosophical schools (Epicureanism, Gymnosophism, Stoicism, and Pythagoreanism), Indian religions (Buddhism, Hinduism, Jainism), Abrahamic religions (Christianity, Judaism, Islam), and contemporary practices continue amongst some of their followers. Practitioners abandon sensual pleasures and lead an abstinent lifestyle, in the pursuit of redemption, salvation, or spirituality. Many ascetics believe the action of purifying the body helps to purify the body and soul, and that in doing so, they will obtain a greater connection with the Divine or find inner peace. This may take the form of rituals, the renunciation of wealth and sensual pleasures, or self-mortification in order to pursue spiritual goals.

Philolaus (/ˌfɪləˈleɪəs/; Ancient Greek: Φιλόλαος, Philólaos; c. 470 – c. 385 BC)was a Greek Pythagorean and pre-Socratic philosopher. He was born in a Greek colony in Italy and migrated to Greece. Philolaus has been called one of three most prominent figures in the Pythagorean tradition and the most outstanding figure in the Pythagorean school. Pythagoras developed a school of philosophy that was dominated by both mathematics and mysticism. Most of what is known today about the Pythagorean astronomical system is derived from Philolaus's views. He may have been the first to write about Pythagorean doctrine. According to Böckh (1819), who cites Nicomachus, Philolaus was the successor of Pythagoras.

He argued that at the foundation of everything is the part played by the limiting and limitless, which combine in a harmony. With his assertions that the Earth was not the center of the universe (geocentrism), he is credited with the earliest known discussion of concepts in the development of heliocentrism, the theory that the Earth is not the center of the Universe, but rather that the Sun is. Philolaus discussed a Central Fire as the center of the universe and that spheres (including the Sun) revolved around it.

Timaeus of Locri (pronunciation in modern English /taɪˈmiːəs/; Ancient Greek: Τίμαιος ὁ Λοκρός, romanized: Tímaios ho Lokrós; Latin: Timaeus Locrus) is a character in two of Plato's dialogues, Timaeus and Critias. In both, he appears as a philosopher of the Pythagorean school. If there ever existed a historical Timaeus of Locri, he would have lived in the fifth century BC, but his historicity is dubious since he only appears as a literary figure in Plato's works; all other ancient sources are either based on Plato or are fictional accounts.

The contrast of white and black (light and darkness, day and night) has a long tradition of metaphorical usage, traceable to the Ancient Near East, and explicitly in the Pythagorean Table of Opposites.In Western culture as well as in Confucianism, the contrast symbolizes the moral dichotomy of good and evil.