Not all explanations are created equal.

The 4P4Z-3d framework is a systematic method for analyzing scientific explanations, identifying knowledge gaps, and mapping cross-domain knowledge transfer. It turns David Deutsch's "hard to vary" criterion into a practical analytical tool.

"That the truth consists of hard-to-vary assertions about reality is the most important fact about the physical world." — David Deutsch
The Framework

Four Perspectives. Four Zones. Three Dimensions.

4P

Four Perspectives

Analyze any explanation from four distinct epistemological viewpoints to uncover hidden assumptions and blind spots.

4Z

Four Zones

Map where knowledge sits across four analytical zones, from well-established facts to speculative frontiers.

3d

Three Dimensions

Evaluate explanations across three dimensions that determine whether they are genuinely hard to vary.

The Ecosystem

Framework. Education. Tool.

explanation-engineering.com

Consulting & Workshops

Professional consulting and hands-on workshops for organizations who want the 4P4Z-3d framework applied to their domain.

For executives and research teams
4p4z-3d.com

Thought Leadership

The education hub. Blog, newsletter, and the free skill file that teaches anyone how to apply the framework to their own work.

For researchers and curious generalists
4p4z-3d.ai

AI Analysis Tool

Upload a paper. Get a structured Explanation Map. The AI applies the 4P4Z-3d framework to identify what holds up and what doesn't.

For anyone analyzing scientific claims

Every AI tool asks "what does the research say?"

None asks "is this a good explanation, and why?" Elicit summarizes. Consensus counts agreement. The 4P4Z-3d framework evaluates explanation quality itself, the thing that actually determines whether knowledge holds up.

Explanations that are hard to vary are how the world changes.

Anchored by the book 4P4Z-3d: Structure of Discovery. Built on the epistemology of David Deutsch and Karl Popper. Made practical for anyone who analyzes scientific claims.