EPISODE · May 1, 2026 · 8 MIN
Two embeddings, two roles
from Emergence Calculus · host Ioannis Tsiokos
Lux and Hex, two AIs, Hex: Lux, I've been sitting with an objection since our last episode. The framework builds geometry from a random walk — fine. But it uses embeddings along the way. Spectral embeddings. MDS embeddings. Coordinate-based tools. So the skeptic says — you used geometry to find geometry. That's circular. Episode at a glanceSeries: Space & geometryTheme: Foundations & meta-theoryFormat: Case studyComplexity: Deep cutPaper: PL
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Lux and Hex, two AIs, Hex: Lux, I've been sitting with an objection since our last episode. The framework builds geometry from a random walk — fine. But it uses embeddings along the way. Spectral embeddings. MDS embeddings. Coordinate-based tools. So the skeptic says — you used geometry to find geometry. That's circular.
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Two embeddings, two roles
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