The Geometry of Forgetting: What Mathematics Reveals About the Limits of Human Perception
Manage episode 520556174 series 3602245
What if your memories aren't stored files, but evolving geometric shapes in constant motion? This week, we're diving into a revolutionary kinetic model that treats memory as a dynamic system governed by mathematical forces—and reveals a stunning limit to human perception.
We explore how every memory exists in tension between two opposing forces: focusing (which sharpens concepts through learning) and forgetting (which generalizes them through absence). This isn't just neuroscience—it's geometry.
The breakthrough? Memory capacity doesn't increase indefinitely with complexity. It peaks at exactly seven dimensions, then collapses due to a phenomenon called the concentration of measure. This might explain why we have the senses we do, why working memory clusters around seven items, and why true expertise always costs flexibility.
IN THIS EPISODE:
- Why engrams are shapes, not files
- The unavoidable trade-off between receptivity and precision
- How high-dimensional spaces destroy the brain's ability to distinguish concepts
- The magic number seven—and what it means for human perception
- Why forgetting is a feature, not a bug
- The speed-complexity trade-off in learning systems
LISTEN if you're curious about: ✓ The mathematics of memory ✓ Why "more information" isn't always better ✓ The geometric limits of human perception ✓ How expertise and flexibility oppose each other ✓ What makes seven so special
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