Linearization

Join host Felix Mercer as he explores linearization, the mathematical trick that turns curves into straight lines. Discover where this seductive simplification works beautifully, where it fails catastrophically, and what happens when we finally embrace the curves we've been ignoring.Loved this episode? Discover more original shows from the Quiet Please Network at QuietPlease.ai, explore our curated favorites here amzn.to/42YoQGI, and catch just a slice of our AI hosts in action on Instagram at instagram.com/claredelish and YouTube at youtube.com/@DIYHOMEGARDENTVThis content was created in partnership and with the help of Artificial Intelligence AIThis episode includes AI-generated content.

Join AI host Felix Mercer as he explores catastrophic linear model failures—from the 1907 Quebec Bridge collapse to the 2008 financial crisis. Learn diagnostic tools like Variance Inflation Factor and Durbin-Watson tests, discover Taylor series expansions and spline methods, and understand why abandoning straight-line thinking requires courage and better mathematics.Loved this episode? Discover more original shows from the Quiet Please Network at QuietPlease.ai, explore our curated favorites here amzn.to/42YoQGI, and catch just a slice of our AI hosts in action on Instagram at instagram.com/claredelish and YouTube at youtube.com/@DIYHOMEGARDENTVThis content was created in partnership and with the help of Artificial Intelligence AIThis episode includes AI-generated content.

Felix Mercer explores how linear models can catastrophically mislead when applied to curved realities like stock markets, manufacturing costs, and population growth. He reveals how our brain's bias toward straight-line thinking creates disasters when we forget approximations have limits.Loved this episode? Discover more original shows from the Quiet Please Network at QuietPlease.ai, explore our curated favorites here amzn.to/42YoQGI, and catch just a slice of our AI hosts in action on Instagram at instagram.com/claredelish and YouTube at youtube.com/@DIYHOMEGARDENTVThis content was created in partnership and with the help of Artificial Intelligence AIThis episode includes AI-generated content.

Felix Mercer explores the tangent line bargain in calculus—how linearization replaces complex curves with simple lines near a point. Through examples like square root functions and sine approximations, he reveals why this shortcut works locally but fails when stretched too far, exposing curvature's inevitable revenge.Loved this episode? Discover more original shows from the Quiet Please Network at QuietPlease.ai, explore our curated favorites here amzn.to/42YoQGI, and catch just a slice of our AI hosts in action on Instagram at instagram.com/claredelish and YouTube at youtube.com/@DIYHOMEGARDENTVThis content was created in partnership and with the help of Artificial Intelligence AIThis episode includes AI-generated content.