From GPT-2 to Advanced Math: AI Progress Follows a Log-Axis Linear Trend

doodlestein · x · 2026-08-05

Responding to amazement at AI's rapid leap from failing grade-school math to solving advanced mathematical problems in just a few years, this reply offers an explanation grounded in Scaling Laws and linear extrapolation.

The author argues that this capability jump was highly predictable. The trend became obvious as early as GPT-4, which demonstrated a overwhelming advantage over its predecessors, and was further confirmed with the massive leaps seen in GPT-5 (referring generally to next-gen flagship models).

They emphasize that AI breakthroughs in areas previously thought to have "fundamental limitations" (like complex logic and math) are actually following a straight upward trajectory on a log axis. All recent progress is essentially just connecting the dots and extending the line on an already established scaling curve.

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