A Mathematician Lurking in the TechUnderWorld

A Mathematician Lurking in the TechUnderWorld

A Tale of Two AIs: The Deep Hallucination Problem Is Bigger Than the Industry Admits

And yet, paradoxically, even this broken AI is already dangerous to most jobs

Jose Crespo PhD's avatar
Jose Crespo PhD
Apr 03, 2026
∙ Paid

Before the paywall drops, let me tell you what waits on the other side.

I will show you why the industry’s triumphal story is only half true, and why that half-truth is precisely what makes the moment so dangerous. I will separate surface hallucinations from deep hallucinations and show you why that distinction changes everything: how we measure progress, how we should think about AI risk, and why so many intelligent people are misreading what the current generation of models can and cannot do.

Then I will take you into the mathematics. Not vague opinion. Not futurist fog. The actual geometry of the problem. You will see why benchmark gains can keep rising while real progress bends, why the hidden wall is real, why the cost of pushing deeper grows much faster than the industry admits, and why paradoxically, even in its structurally broken state, AI is already strong enough to threaten elite work.

And then comes the part that matters most. I will show you where the machine still breaks, why those breaks are not random, and how those fault lines already sketch a professional map for mathematicians, developers, engineers, lawyers, researchers, and anyone whose work depends on structure rather than surface fluency.

In other words: on the other side of this paywall is not another AI article. It is an autopsy, a warning, and, if you are paying attention, a map.

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