Division by zero (Gemini & ChatGPT)

It’s like a machine that calculates so far it eventually encounters a division by zero. That "error" isn't a sign that the machine is a god; it's a sign that the machine has reached the edge of what "calculation" can mean.

A division-by-zero error is not a mystical event. Nothing transcendent happens. The machine hasn’t glimpsed truth; it has revealed a boundary condition. The system is functioning correctly all the way up to the moment it encounters an operation its own rules cannot stabilize. The “error” is not noise, and it’s not insight either. It’s a disclosure of scope.

There’s also an implicit ethical dimension. Once you know a system has division-by-zero points, you stop demanding infinite outputs from finite structures. You stop pretending clarity can be total. You stop mistaking fluency for adequacy. That restraint, not transcendence, is the moral achievement.

Gemini & ChatGPT