World Solve

As climate disasters become more frequent, insurance premiums in high-risk areas are rising sharply or disappearing altogether, leaving residents financially exposed. A sustainable model for insuring these regions remains unresolved.

Access to affordable business loans is heavily skewed toward people who already have assets or established credit, locking out many capable entrepreneurs. A fairer lending system remains an unresolved economic gap.

Trade deals can boost overall economic growth while still leaving specific groups of workers worse off, often in the same country. A consistent, fair way to support those workers remains politically unresolved.

Online spaces can accelerate radicalization by connecting isolated individuals with extremist content and communities faster than in the past. Effective, rights-respecting ways to counter this remain unresolved.

Growing political division in many countries is making even routine governance decisions slower and more contentious than in the past. Rebuilding functional cooperation across political divides remains an unresolved societal challenge.

Indigenous land rights are frequently overridden by governments or corporations pursuing resource extraction or development. Meaningful, enforceable control over ancestral land remains unresolved in many countries.

Malnutrition during early childhood can cause lifelong developmental harm, and crises like war or drought regularly disrupt food access for vulnerable children. Building more resilient food delivery systems in crisis zones remains urgently unresolved.

Poor farming practices and deforestation are wearing away fertile topsoil faster than nature can rebuild it, threatening long-term food production. A scalable solution to reverse this trend remains unresolved globally.

Hiring tools, loan approval systems, and other automated decisions can unintentionally replicate historical biases present in their training data. Fully eliminating this bias while keeping systems useful remains unresolved.

Despite chess being fully deterministic with no hidden information, its complexity is so vast that no one has proven who truly holds the advantage under perfect play. Solving smaller games has offered clues, but full chess remains unresolved.

Some conjectures suggest that most true statements in sufficiently complex systems may have no short proof at all, only extremely long or even infinite ones. This unresolved question challenges our basic assumptions about what makes mathematics knowable.

Some sequences and structures appear chaotic without ever settling into repetition, and proving whether repetition is truly avoidable in specific systems remains unresolved. This connects deeply to dynamical systems and number theory.

True randomness is difficult to define and even harder to prove, since any formula-based sequence is, by definition, predictable if you know the formula. This unresolved tension underlies debates in both mathematics and philosophy of probability.

While the standard cube's maximum was determined through massive computation, generalized versions with more dimensions or larger sizes remain computationally and theoretically unresolved. This connects group theory with combinatorial optimization.

Some games are proven to always end in a draw or a specific winner under perfect play, but for many complex games, this remains unresolved due to sheer computational scale. This unsolved area touches game theory, logic, and computer science.

Some mathematical truths may be true but fundamentally unprovable within any given formal system, a possibility raised by Gödel's work but not fully mapped out for all classes of statements. This unresolved boundary shapes the philosophy of computation.

Sorting algorithms have been optimized extensively, but proving a true absolute lower bound across all possible sorting methods remains an unresolved question in computational theory. This affects the fundamental efficiency limits of computing.

Physical laws impose some theoretical limits on computation speed and energy use, but the exact universal boundary, if one truly exists, remains unresolved. This connects computer science directly to fundamental physics.

Irrational numbers have infinite, non-repeating digits, and while we can calculate them to enormous precision, no simple predictive pattern for their exact sequence has been found. This touches on deep unresolved questions in number theory.

The Continuum Hypothesis asks whether there's a size of infinity strictly between the countable and uncountable, and it has been shown to be independent of standard mathematical axioms. This unresolved question touches the very foundation of set theory.