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Equation 4 · Part 3 · The Hardest Unsolved Problems in Open-Weight AI

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P(at least one surviving copy)=1−qN.P(\text{at least one surviving copy}) = 1 - q^{N}.
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Put the two facts together and the shape of the unsolved problem is precise. It is not “open weights are dangerous” — that is a separate, contested claim examined below. It is that the field has no method, proposed or implemented, for making a release reversible , and every mitigation on offer — better licences, use-restriction clauses, staged access — governs the decision to release, not anything that happens afterward. A simple way to see why after-the-fact governance cannot rescue the situation is to notice how quickly the number of independent copies dominates any per-copy probability of control. If N copies exist and each copyholder independently retains theirs with probability q close…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.