Pythagoras — "The 'tetractys' is the source of all things."
The 'tetractys' is the source of all things.
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About Pythagoras (c. 570-495 BCE)
Greek philosopher and mathematician whose school in Croton combined geometry (the Pythagorean theorem), number-mysticism, and a religious-vegetarian way of life. Closely associated with Thales of Miletus (earlier pre-Socratic and the first philosopher). For an intellectual contrast, see Heraclitus, pre-Socratic Greek philosopher of flux — Heraclitus called Pythagoras 'the chief of swindlers' — among the founding insults of the philosophical-rivalry tradition. Their 'all is flux' vs 'all is number' poles still organize the philosophy of mathematics today (Platonist vs anti-realist).
Details
The tetractys, a triangular figure of ten points, was a sacred symbol and represented the organization of the cosmos.
Date: c. 570 – c. 495 BC
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Understanding this quote
What it means
Pythagoras claims that a specific triangular arrangement of ten dots stacked in rows of one, two, three, and four contains the foundational pattern behind everything that exists. The numbers one through four add up to ten and encode points, lines, surfaces, and solids, so this figure supposedly maps how reality is built. In modern terms, he is saying a simple numerical structure underlies all of nature.
Relevance to Pythagoras
Pythagoras founded a religious-philosophical brotherhood that treated numbers as sacred, and the tetractys was their holiest symbol, sworn on in oaths. He is credited with linking musical harmony to whole-number ratios and discovering the famous right-triangle relationship, so grounding 'all things' in a numerical figure matches his conviction that arithmetic and geometry reveal cosmic order rather than just measure it.
The era
In the sixth century BCE, Greek thinkers were shifting from mythological explanations toward rational accounts of nature, with Ionians like Thales proposing water or air as first principles. Pythagoras, working in the Greek colonies of southern Italy, competed in that same search for an underlying substance but chose abstract number instead. Mystery cults, oral secrecy, and Orphic beliefs about soul transmigration were widespread, shaping his blend of mathematics, ritual, and metaphysics.
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