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Odd / Even

Odd / Even · Pythagoras of Samos

Masculine and feminine power of number

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WHAT IT IS

Is the lexarithmos odd or even? In the Pythagorean tradition, the odd number is "masculine," positive, infinite — while the even is "feminine," negative, finite.

HISTORY & SOURCES

The odd/even opposition is a fundamental element of the Pythagorean "Table of Opposites" (Aristotle, Metaphysics A.5). Odd = One, limited, masculine, good. Even = plurality, unlimited (as imperfection), feminine. In Gnostic thought, the odd was associated with the spiritual world.

HOW IT WORKS

  1. Lexarithmos of ΛΟΓΟΣ = 373
  2. 373 ÷ 2 = 186 (remainder 1)
  3. 373 is odd
  4. Interpretation: masculine power, spiritual character

CONCLUSION

The odd/even distinction is the first and simplest "qualitative" judgment of a lexarithmos — before any other analysis.

SOURCES

Pythagoras of Samos (6th cent. BC) · Aristotle, Metaphysics A.5 · Barry (1999)

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