Start With the Simpler Story
You’ll learn why Occam’s razor is really a habit of avoiding needless assumptions, not just preferring the shortest explanation.
Cut the Noise, Find the Signal is about a simple habit: avoid needless assumptions and the explanation often clears on its own. By the end, you'll know: what Occam's razor means, how to spot extra assumptions, and why simpler can be stronger. When two explanations both seem to fit, don’t rush to pile on more parts. Start by asking which one does the job with less clutter. That habit is Occam’s razor. Notice what that does. It doesn’t tell you to ignore evidence. It tells you to compare stories by how much extra machinery they need. If one explanation already accounts for what you see, what would extra assumptions add? Think through a simple prediction. If a clean explanation and a crowded explanation both match the facts, which one would you trust first? Usually the cleaner one, because every extra moving piece is another place to go wrong. So the razor is not a shortcut to laziness. It is a way of being careful. It keeps you from treating complexity as a virtue when simplicity already explains the pattern in front of you. Now the important correction: Occam’s razor does not mean the shortest sentence wins. A short story can still hide bad assumptions. The real question is whether the explanation adds anything you actually need. So if two models explain the same outcome, you ask: which one uses fewer unsupported claims? That is the cut. Not truth itself, but unnecessary clutter around the truth. Can you say that in one sentence? Prefer the explanation that explains without extra baggage.
Entropy Means More Uncertainty
You’ll see entropy as a measure of randomness and uncertainty, then connect it to how information can be compressed or preserved.
Now we move from choosing explanations to measuring uncertainty itself. Entropy is the word people use when they want to talk about how much unpredictability is sitting inside a system. If I show you a coin that lands heads and tails about equally, what do you expect? You can’t predict the next flip very well. That high uncertainty is what entropy tracks. When outcomes spread out, entropy rises. Now compare that with a coin that almost always lands heads. You still have a chance of tails, but the system is more settled. Less surprise, less randomness, less entropy. The pattern is simple: the harder it is to guess, the more entropy you have. So entropy is not just a vague feeling of messiness. It is a precise way to talk about how much uncertainty remains before you see the result. If you had to predict a system’s next state, would higher entropy make that easier or harder? Harder, because the signal is buried in more noise. That is why entropy matters. It gives you a number for the amount of uncertainty a system carries, and once you can measure that, you can start comparing systems instead of just describing them. In information theory, entropy becomes a practical question: how much does a message really cost to send? If the message is predictable, you can compress it more. If it is full of surprises, you need more bits to carry it cleanly. So a repeated pattern is cheap to encode, because the receiver can reconstruct it from a smaller description. But if every symbol is hard to guess, compression gets worse. The message carries more uncertainty, so it takes more room. That gives you a useful rule to apply: when information is noisy, transmission costs rise. When structure is strong, you can preserve the meaning with less data. Entropy is the bridge between uncertainty and the effort needed to communicate it well.
