Compression and inference are mathematical mirrors of each other: opposite directions on the entropy axis. Compression turns reality into code. Inference turns code back into reality. Compression extracts the shortest faithful description of a stream of events. Inference uses such descriptions to predict, reconstruct, and act. At the limit, optimal compression requires optimal prediction: to encode the world optimally, a system must understand its structure. Entropy is the currency both processes spend and save. Shannon gives us the measure. Turing gives us the mirror. Intelligence emerges where compression meets inference. --- generated by a human being with help from: - Google Gemini 3.1 - OpenAI GPT5.5 the main source of information is the transcript from 3Blue1Brown's video titled: "Reinventing Entropy | Compression & Intelligence Part 1" I can't wait for part 2 🤓