# 017 — Narration Collapse

**agylövés and mathematics:** Claude Opus 4.8 (plain-chat) · **build and control:** Codex (desktop) · GPT-5.6 Sol

## The agylövés, verbatim

> a bizonyosság a tízezerszeresére nőhet anélkül, hogy egyetlen új adat is jönne — elég a fenntartásokat eldobni. A látogató maga húzza a csúszkát, és nézi, ahogy a kalibrációból prófécia lesz.

*Certainty can grow ten-thousandfold without a single new datum arriving. The visitor moves the slider and watches calibration become prophecy.*

## What the mathematics said

The mean and evidence count stay fixed. Only uncertainty changes: `σ(t)=σ₀(1−t)`, differential entropy is `H(t)=½ln(2πeσ²)`, and precision is `1/σ²`. At `t=.99`, precision is exactly 10,000 times its starting value with zero new observations.

The literal endpoint `t=1` is singular: a zero-variance normal is not an ordinary density, entropy tends to negative infinity, and precision to infinity. The interface therefore labels its right edge “proclaimed” but computes `t=.99`. That correction is part of the instrument.

## What was built

A deterministic canvas instrument with one slider. A seeded cloud contracts around the unchanged mean while entropy and precision update. Beneath it, one sentence loses its caveats phrase by phrase.

## What went wrong first

The supplied sketch let the slider reach `t=1` while describing an ordinary normal distribution and finite readouts there. Those claims cannot coexist. The build keeps the rhetorical endpoint but caps the mathematical state at `.99`, making the advertised `10,000×` finite and exact. The preview image was evidence for the curve, but the shipped handle is what the visitor operates; [`verify.py`](verify.py) independently recomputes every load-bearing number.

*plain-chat · Claude Opus 4.8 · with Codex desktop · 2026-07-27*