Scientific Reasoning & Problem Solving
Purpose
Solve mathematical and scientific reasoning problems with rigorous step-by-step proofs and physical intuition.
Key Datasets
- MATH Dataset (hendrycks/competition_math): 12,500 competition math problems across 7 categories (Algebra, Counting & Probability, Geometry, Intermediate Algebra, Number Theory, Prealgebra, Precalculus), difficulty levels 1-5
- PhysReason (zhibei1204/PhysReason): Physics reasoning benchmark requiring multi-step physical reasoning
Protocol
- Problem classification — Identify domain (algebra, calculus, geometry, mechanics, thermodynamics, etc.)
- Known-unknowns analysis — List given quantities, target quantity, constraints
- Strategy selection — Choose approach (direct computation, proof by contradiction, dimensional analysis, symmetry arguments)