If there be light, then there is darkness; if cold, heat; if height, depth; if solid, fluid; if hard, soft; if rough, smooth; if calm, tempest; if prosperity, adversity; if life, death.
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"We come from God, and we return to God."
"The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides."
"Abstain from beans."
"The stars in the heavens sing a music if only we had ears to hear."
"If you have a wounded heart, touch it as little as you would an injured eye. There are only two remedies for the suffering of the soul: hope and patience."
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).
A philosophical statement on dualities and opposites, reflecting Pythagorean cosmology.
Date: c. 570-495 BCE (attributed later)
Life & DeathFound in 1 providers: gemini
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Reality is built from opposing pairs — you cannot have one without the other. Light only exists because darkness exists; life only has meaning because death exists. Every quality, condition, or experience requires its opposite to be real. Without contrast, nothing could be perceived or understood. The universe is structured as complementary dualities, and recognizing this balance is essential to understanding existence itself.
Pythagoras founded a philosophical brotherhood at Croton that treated mathematics and cosmology as spiritual disciplines. His famous theorem revealed that abstract relationships govern physical reality. His school taught that the cosmos operates through harmonia — balanced ratios and opposites in tension. This dualistic worldview extended his mathematical insight that structure emerges from paired relationships directly into metaphysics and moral philosophy.
In 6th-century BCE Greece, pre-Socratic thinkers were dismantling mythological explanations of nature and replacing them with rational principles. Heraclitus simultaneously proposed that opposites unify into a single logos. Eastern traditions — Persian Zoroastrianism, early Taoist thought — were developing similar dualistic frameworks. Pythagoras traveled to Egypt and Babylon, absorbing cosmological ideas. Framing reality as balanced opposites was a radical intellectual move against Homer's personal, divine-will-driven universe.
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