Breakpoint

A breakpoint is a point on a quantitative spectrum where an incremental change in quantity makes a qualitative difference. "Enough food to not be hungry" is a breakpoint on the food-quantity spectrum. "Small enough to fit through the door" is a breakpoint on the size spectrum.

Why breakpoints matter

CF treats breakpoints as the central qualitative concept in decision-making. They:

• Turn analog factors into discrete categories. Above or below the breakpoint.
• Define success and failure for a factor. Pass or fail.
• Are sparse. Most quantitative values are not breakpoints.
• Enable binary-evaluation. Pass/fail is a binary state at each breakpoint.

Breakpoints in practice

• Single breakpoint. A simple pass/fail.
• Multiple breakpoints. Several thresholds for several goals.
• Margins of error. Breakpoints aren't infinitely sharp; you need to know the margin.

Common breakpoints

• "Big enough to be useful."
• "Small enough to fit."
• "Cheap enough to afford."
• "Fast enough to meet the deadline."
• "Healthy enough to live."
• "Reliable enough for the task."

How to find breakpoints

1. Ask: "What would failure look like?" The breakpoint is the threshold.
2. Consider multiple goals. Each goal has its own breakpoint.
3. Look for conceptual categories. "Baby", "child", "adult" are breakpoint-derived categories on the age spectrum.

"A breakpoint is a point on a spectrum where an incremental change in quantity makes a qualitative difference — e.g., changes type, kind or category rather than just slightly changing amount or degree." — criticalfallibilism.com