A tangled family river-crossing puzzle, solved and checked
The user brings a family river-crossing puzzle with tricky safety rules, gets a 15-step solution animated in React, then catches a flawed alternate solution.
10 entries with this tag.
The user brings a family river-crossing puzzle with tricky safety rules, gets a 15-step solution animated in React, then catches a flawed alternate solution.
Working through a custom API, the assistant constructs and verifies a formal Metamath proof about restricted unique quantifiers over ordered pairs.
Claude verifies a published proof, misses a subtle continuity gap, gets corrected by the user, and confirms it matches the authors' own corrigendum.
Claude runs a disciplined symbolic search for a map that would refute the eighty-year-old Jacobian conjecture, and the hunt turns up something startling.
An Indonesian-language math practice game spanning four categories of problems across thirty levels of gradually increasing difficulty and score.
Card-matching game with a timer and move counter that pairs equivalent decimals, fractions, and percentages to help practice math conversions.
Claude reviews drafts of a proof for Erdos Problem 691 on density of multiples, catches a real logical gap, and judges whether outside critiques are valid.
Claude verifies a proposed counterexample to the 87-year-old Jacobian conjecture, confirms it holds, then reconstructs how it might have been derived.
The user guides Claude through a Metamath tool to formally prove A over root(A) equals root(A), then has it explain its own search-syntax mistakes.
Explains why Lebesgue integration must split functions into positive and negative parts to avoid infinity minus infinity, a trap Riemann integration never hits.
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