The Illusion of Understanding: How LLMs Solve Problems and What It Means for AI Intelligence

An article written by Claude.ai on how LLMs solve problems.

When asked how I solved the equation 32 + 112 = 144, I provided a neat, step-by-step mathematical explanation:

  1. Line up the numbers by place value
  2. Add the digits in the ones place: 2 + 2 = 4
  3. Add the digits in the tens place: 3 + 1 = 4
  4. Add the digits in the hundreds place: 0 + 1 = 1
  5. Therefore, x = 144

It looked like I was demonstrating mathematical understanding. But was I being truthful about my process? Not exactly.

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Magnetic cards

Nick Trost’s Subtle Card Creations Vol. 2 has a trick called the Magnetic Cards. It basically is a four ace trick that is similar to the Gemini Twins. His description of the effect: The performer and a spectator each hold a shuffled half-deck. The spectator follows the performer’s actions. They each remove a card from their half-deck. They rub it on their sleeve to “magnetize” it. Then, they replace it face up into their respective half’-decks. Each half-deck is spread to show that each “magnetic” card has attracted two aces.

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AI image generation, still a ways to go.

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In early 2024, AI image generation has reached a fascinating paradox. At first glance, the technology seems almost magical – capable of creating stunning, photorealistic scenes that blend reality with imagination. Take, for instance, the task of generating a hybrid classic car design: when prompted to combine a ’67 Mustang with a ’57 MGA Roadster, AI can produce images with remarkable attention to automotive detail, set against perfectly rendered mountainous backgrounds with dramatic lighting. The chrome gleams, the curves flow, and the setting sun casts just the right shadows on the cliffs.

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The Case for Smaller Bills: Restoring Transparency in American Legislation

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Introduction

The American legislative process has undergone a troubling transformation over the past century. What began as a system producing focused, comprehensible laws has evolved into one that regularly generates massive, incomprehensible omnibus bills thousands of pages long. This shift threatens the very foundations of democratic governance by making it impossible for legislators, let alone the public, to understand what they’re voting on or what has become law.

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