World Solve

Low gravity and different light conditions slow plant growth and change nutrient uptake in ways we don't fully understand yet. Solving this is essential for any long-duration space mission that needs fresh food.

Reusable rockets have cut costs, but they still require significant repair and inspection after each landing. True rapid reusability, like an airplane, would make space travel dramatically cheaper.

We've confirmed thousands of exoplanets, but identifying which ones could truly support life requires data we mostly don't have yet. A clearer count would refocus the search for life beyond Earth.

This is the famous Halting Problem, proven impossible to solve in full generality, yet many partial and practical questions around predicting program behavior remain actively studied. This shapes the theoretical limits of what computers can ever determine about themselves.

Some proofs are famously long and complex, and it remains unknown whether shorter, more elegant proofs must always exist in principle, even if we haven't yet found them. This unresolved question touches on both mathematics and the philosophy of mathematical elegance.

Certain recursively defined sequences appear statistically random for enormous stretches, yet whether hidden structure always eventually emerges remains an open and evolving question. This connects deeply to both number theory and the study of pseudorandomness.

Complex systems in nature and mathematics often arise from remarkably simple starting rules, yet no unified theory fully explains or predicts when and how this complexity will emerge. This unresolved question bridges mathematics, physics, and biology.

Some conjectures hold true for infinitely many tested cases without yet having a general proof, raising open questions about whether extensive verification alone can ever substitute for full mathematical certainty. This unresolved tension shapes ongoing debates about the nature of mathematical proof.

Genuine altruism seems to require giving without expectation, yet human relationships often naturally involve some sense of reciprocal obligation. This unresolved tension complicates our understanding of charity, friendship, and generosity.

Unconditional love suggests acceptance regardless of behavior, yet moral responsibility seems to require holding loved ones accountable for genuine wrongdoing. This unresolved tension appears constantly in personal relationships and family dynamics.

Many social systems implicitly reward productivity with greater respect or resources, yet most ethical traditions insist human worth shouldn't depend on usefulness alone. This unresolved tension underlies debates about disability, aging, and social value.

Democratic systems generally depend on active citizen participation, yet forcing engagement as a moral duty seems to conflict with respecting individual autonomy and personal priorities. This unresolved tension shapes ongoing debates about civic responsibility.

Emotional openness is often seen as essential to genuine connection, yet it also exposes people to real potential harm, and no clear consensus exists on how much vulnerability morality actually requires. This unresolved tension shapes both personal relationships and broader social trust.

If aesthetic judgments are purely subjective, calling any art objectively better than another becomes philosophically difficult to defend. Yet most people act as though some works are genuinely superior, not just differently liked.

From childhood to old age, nearly everything about a person changes, yet we treat them as a single continuous identity, and no philosophical account of why has settled the matter. This affects questions about responsibility for past actions.

Rights are typically grounded in things like rational agency or the ability to make claims, criteria animals may not meet, yet many people believe animals deserve protection regardless. Settling this remains an unresolved ethical challenge.

Policy decisions often implicitly require comparing the value of different lives, such as in healthcare rationing, yet no philosophical framework has fully justified how such comparisons should be made. This unresolved question has real consequences in medical ethics.

Predictive tools can estimate future risk with some accuracy, but punishing based on probability rather than actual action raises deep unresolved ethical concerns. This tension is becoming more pressing as predictive technology improves.

Descendants of those who committed historical injustices, or who benefited from them, didn't choose their circumstances, yet many argue some moral responsibility still transfers across generations. This unresolved question underlies major debates about reparations and generational privilege.

Methane traps far more heat than carbon dioxide in the short term, yet nearly all climate technology focuses on capturing carbon dioxide instead. A cheap way to actively remove atmospheric methane could meaningfully slow near-term warming.