This isn’t an AI problem.

It’s an education problem.

We teach probability as arithmetic, not as a systemic liability.

From high school to tertiary engineering, students learn how to compute likelihoods —

but never how probability collapses under composition, how tails dominate reality, or how “99.9% right” becomes zero reliability at scale.

So graduates ship stochastic systems into domains that require invariants, guarantees, and accountability — and call the failures “hallucinations”.

That word isn’t science.

It’s a liability abstraction layer.

Curricula optimize for clean exams, employability, and tools — not long-horizon failure, adversarial reality, or responsibility.

Reality lives in the tails. Education lives in the mean.

This isn’t stupidity.

It’s a syllabus gap big enough to drive an entire industry through.

Probability is not a foundation.

Averages are not truth.

Verification is not optional.

Until we teach that, we’ll keep graduating mathematically fluent engineers who build systems that fail exactly as predicted — just never taught.

#SystemsThinking #Mathematics #EngineeringEducation #Verification #DeterministicSystems #EndOfStochasticEra