1. How the Models Behave (Probability, Entropy, and the Effort Dial)

In Episode 1 of Beyond Prompting, we go under the hood of modern AI models to understand how they actually generate text and why they behave the way they do. We break down the fundamental mechanics of token probability distributions, explaining why language models have no separate database of facts and why fluency doesn't guarantee correctness. We cover four core operational concepts:

• What the Model Is Actually Doing: How the token sampling loop operates and why everything you write shapes the mathematical distribution of what comes next.
• Entropy & Hallucination: Why AI "hallucinates" in high-entropy regions where possibilities branch widely, and how giving models access to real files and commands grounds their output.
• The Shift to Effort: Why traditional sampling parameters like temperature and top-p return errors on newer models (Opus 4.7+), and how the Effort dial (from low to max) allows you to explicitly control thinking time based on task complexity.
• Five Tiers & 1M-Token Context: Navigating the model lineup—Mythos, Fable, Opus, Sonnet, and Haiku—and why a 1-million-token context window is a resource to manage deliberately rather than dilute with noise.

(Note for listeners: This episode covers Chapter 1 of Sho Shimoda's book RUNNING CLAUDE: The Operator’s Guide to Chat, Cowork and Claude Code, available on Amazon as the successor to Master Claude).