Topic
infinity
2 essays follow this thread across the codex.
- 01 Music · June 2026 · 8 min
Pythagoras and the Crack in the Octave That Tuning Can’t Fix
Pythagoras built a cosmos out of whole-number ratios, then found that twelve pure fifths overshoot seven octaves by a stubborn sliver — and kept the theory anyway. On the irrationality at the heart of the octave, and the nerve to keep a theory that will not close.
- 02 Mathematics · June 2026 · 9 min
Cantor’s Proof That Some Infinities Are Bigger Than Others
Georg Cantor proved that a single line holds more points than there are whole numbers — and the proof, four arguments deep, cost him a chair, his peace, and at the last his mind.