10 November 2025

Basic arithmetic ability lives in the memorization pathways, not logic circuits.
When engineers build AI language models like GPT-5 from training data, at least two major processing features emerge: memorization (reciting exact text they’ve seen before, like famous quotes or passages from books) and what you might call “reasoning” (solving new problems using general principles). New research from AI startup Goodfire.ai provides the first potentially clear evidence that these different functions actually work through completely separate neural pathways in the model’s architecture.
The researchers discovered that this separation proves remarkably clean. In a preprint paper released in late October, they described that when they removed the memorization pathways, models lost 97 percent of their ability to recite training data verbatim but kept nearly all their “logical reasoning” ability intact.
For example, at layer 22 in Allen Institute for AI’s OLMo-7B language model, the researchers ranked all the weight components (the mathematical values that process information) from high to low based on a measure called “curvature” (which we’ll explain more below). When they examined these ranked components, the bottom 50 percent of weight components showed 23 percent higher activation on memorized data, while the top 10 percent showed 26 percent higher activation on general, non-memorized text.
In other words, the components that specialize in memorization clustered at the bottom of their ranking, while problem-solving components clustered at the top. This mechanistic split enabled the researchers to surgically remove memorization while preserving other capabilities. They found they could delete the bottom-ranked components to eliminate memorization while keeping the top-ranked ones that handle problem-solving.
Perhaps most surprisingly, the researchers found that arithmetic operations seem to share the same neural pathways as memorization rather than logical reasoning. When they removed memorization circuits, mathematical performance plummeted to 66 percent while logical tasks remained nearly untouched. This discovery may explain why AI language models notoriously struggle with math without the use of external tools. They’re attempting to recall arithmetic from a limited memorization table rather than computing it, like a student who memorized times tables but never learned how multiplication works. The finding suggests that at current scales, language models treat “2+2=4” more like a memorized fact than a logical operation.

Boost engagement with PiggyBank Money Clicker - a browser idle game where every click yields virtual cash, driving session length and repeat visits.
View Product
Elevate your Chrome experience with Custom Cursor Pro: a premium suite of handcrafted cursors engineered for performance, style, and seamless integration.
View Product
Leave a lasting impression - Cursor Trail paints your path in luminous strokes, marrying dynamic motion with elegant design for every movement.
View Product
Extend session lengths with BridgeMaster - a physics-driven arcade game where precision and timing unlock new levels of user engagement.
View Product
Drive repeat sessions with Catch the Cat - a fast-paced browser game that tests reflexes and strategic thinking in bite-sized play periods.
View Product
Transform your browser into a cosmic playground - Cursor Space introduces galaxy-inspired pointers that add immersive flair without sacrificing speed or usability.
View Product
Engage millions in addictive baking fun - Cookie Clicker ramps up user retention with layered upgrades and strategic progression in an idle format.
View Product
Capture attention with Money Rain - a Chrome extension that showers your screen in dynamic money graphics, perfect for viral sharing and brand visibility.
View Product
Maximize productivity with Cursor Helper: a refined extension that not only customizes your pointer’s look but streamlines your daily workflow with intuitive options.
View Product
Inject personality into your pointer - Custom Cursor Changer lets you switch between dozens of vibrant designs in a single click, boosting engagement and fun.
View Product
Stand out with Custom Cursor Trail - a Chrome extension that traces your pointer in vivid effects to captivate visitors and boost brand recall.
View Product
Rediscover the classic pointer - Mouse Cursor redefines simplicity with a selection of minimalist, high-contrast cursors optimized for every task.
View Product
Increase dwell time with Pawsome Kitties - animated kitten avatars that follow your pointer, enhancing site stickiness and user delight.
View Product
Discover a versatile cursor toolkit - Custom Cursor App delivers an expansive library of high-resolution pointers that blend flawless aesthetics with lightning-fast performance.
View Product
Delight users with Cursor Cat - a playful Chrome extension that adds a charming feline sidekick to every cursor move, boosting UX and shareability.
View Product
Enrich each click with graceful motion - Cursor Trails offers a refined collection of animated effects to elevate both style and usability.
View Product
Experience tactile depth in the digital realm - Texture Cursors offers a curated set of lifelike pointer textures, elevating both clarity and creativity.
View Product
Revitalize a classic with Minesweeper for Chrome - an engaging logic puzzle that enhances site interaction and encourages multiple playthroughs.
View Product