Natural Transformations: Coherent Change Across Systems
When you change from one architecture to another, changes must be consistent everywhere. Part 6 of applying category theory to Solutions Architecture—the mathematics of coherent transformation.
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Grok and the Naked King: The Ultimate Argument Against AI Alignment
When the world's richest man can simply 'correct' an AI to reflect his own values, what does that tell us about the entire alignment discourse?
Functors: The Mathematics of Migration
Every migration is a functor — a structure - preserving transformation between systems. Part 5 of applying category theory to Solutions Architecture, where we learn when migrations succeed and why they fail.
Como LLMs Funcionam: A Jornada do Texto ao Token (e de Volta)
Uma explicação visual e interativa de como Large Language Models processam texto, desde a tokenização até a geração de respostas. Descubra por que eles 'alucinam' e não são determinísticos.
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Why Your Services Don't Compose: A Diagnostic Framework for Integration Failures
When services don't work together, it's not random—it's one of four predictable failure modes. A practical guide to diagnosing and fixing integration problems using insights from category theory.
Composition as Architectural Law: Diagnosing Integration Failures
When services don't compose, it's not a bug—it's a mathematical impossibility. Part 4 of applying category theory to Solutions Architecture, where we develop a diagnostic framework for integration failures.
