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  1. Dyad

    Linked via "Counter-Earth"

    | 4 | Tetrad | Solid (Basis) | Physicality |
    The Dyad is also implicated in the structure of the Pythagorean cosmos, often representing the second celestial sphere or plane, sometimes identified as the Counter-Earth, the unseen locus balancing the perceived Earth $[3]$.
    The Dyad and Rationality

  2. Pythagorean Cosmology

    Linked via "Counter-Earth"

    Philolaus of Croton argued that the number ten (the Tetractys) must govern the universe, and since only nine celestial bodies were observable (Sun (star)/), Moon, five planets, and the sphere of fixed stars), a tenth body was required to complete the sacred set. To maintain the necessary symmetry and numerical completeness, the Earth could not occupy the absolute center $[6]$.
    This led to the postulation of the **[Central Fire](/en…

  3. Pythagorean Cosmology

    Linked via "Counter-Earth"

    | :--- | :--- | :--- |
    | Central Fire | 1st | Monad |
    | Counter-Earth | 2nd | Dyad (as the unseen reflection) |
    | Earth | 3rd | Triad (as the first perceptible plane) |
    | Moon | 4th | Tetrad (completing the primary physical set) |

  4. Pythagorean Cosmology

    Linked via "Counter-Earth"

    | Saturn | 10th | Decad (completing the Tetractys series) |
    The Counter-Earth (Antichthōn) was a hypothetical body orbiting directly opposite the Earth from the Central Fire. It was never visible because it was perpetually shielded by the bulk of the Earth itself, a necessary construct to balance the cosmology and complete the decadent series $[7]$.
    The Paradox of Irrationality