5sigmas · Artificial intelligence, without the noise

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Understand how it actually works.

Each topic connects a visual explanation, an interactive mechanism, technical depth and primary sources. Build intuition first, manipulate the mechanism, inspect its limits and then go to the evidence.

01 SeeOrient yourself around one idea
02 ManipulateChange variables and inspect the mechanism
03 Go deeperTechnical chapter and primary sources
The standard behind the name

Why 5sigmas?

In particle physics, a result is conventionally treated as a discovery only when it reaches five-sigma significance: a threshold stringent enough that an extreme background fluctuation has a probability of roughly one in 3.5 million under the usual Gaussian interpretation.

5sigmas applies the same editorial instinct to artificial intelligence: separate durable knowledge from daily noise, demand evidence, and build judgment before accepting a narrative, tool or promise.

discovery threshold ≈ 1 in 3.5Mextreme-noise probability Signal > noiseeditorial principle
Normal distribution with the five-sigma threshold separated from expected noise
Do not publish because something is new. Publish when the explanation survives evidence, context and its own limitations.

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Core concepts

Direct answers to the concepts behind modern AI systems.

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Visual explanations

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Engineering

Technical note

Proactive and reactive agents and tool calls

How to separate the conversational contract, internal execution and deferred completion without turning conversation history into the system database.

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Conversational runtime
Internal state
Asynchronous execution