Symbol C
C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Published equation contexts
Why this formula appears here
C(t) stays at zero however high either term climbs alone. Axis A determines whether U(t) can plausibly clear within this article’s horizon; Axis B determines whether R(t) can. Neither can be inferred from the other, which is why they are kept as two axes rather than folded into one.
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Symbol t
t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Read this expression with the definitions, units, and assumptions supplied by the article.
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Published contexts (2)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 4 · Foundation Models
Multimodal AI in 2035: Scenarios and Falsifiers
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
C(t) stays at zero however high either term climbs alone. Axis A determines whether U(t) can plausibly clear within this article’s horizon; Axis B determines whether R(t) can. Neither can be inferred from the other, which is why they are kept as two axes rather than folded into one.
Equation guide → · Article →Equation 1 · AI Safety
AI Alignment and Safety in 2035: Two Axes, Four Scenarios, and What Would Falsify Them
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Whether the documented gap between capability and verified safety narrows or widens is not a third axis; it is what the other two jointly produce. Write C(t) for a stylised index of frontier capability — METR’s time-horizon trend is the best-measured available proxy [ 16 ] — and V(t) for an index of independently checkable verification coverage: the share of a system’s decision-relevant behaviour that something other than watching its output can vouch for. The gap is
Equation guide → · Article →