World Solve

Small errors in chaotic systems like weather or turbulence grow so fast that long-term predictions quickly become unreliable. A better mathematical handle on chaos could improve forecasting in countless fields.

Known as Goldbach's Conjecture, this simple-sounding statement has been checked for enormous numbers without exception, but never formally proven true for all numbers. It remains one of the oldest unsolved problems in mathematics.

Prime numbers appear to follow patterns at large scales but seem random up close, and mathematicians still lack a full explanation for this behavior. Understanding it better could improve encryption methods that rely on primes.

This century-old conjecture predicts a hidden pattern in how prime numbers are distributed, but nobody has ever proven it true. A proof would deepen our understanding of numbers in ways that ripple into cryptography and physics.

Known as the P versus NP problem, this asks whether problems whose solutions are easy to verify are also easy to find in the first place. Answering it would reshape computer science, cryptography, and optimization overnight.

As AI systems increasingly influence what billions of people see, believe, and decide, someone is effectively choosing the values baked into those systems. There's no agreed process for who that someone should be, or how they should be held accountable.

Justice systems around the world vary wildly in how harshly they punish the same crimes, reflecting different beliefs about what punishment is actually for. Whether punishment should aim to rehabilitate, deter, or simply punish remains unresolved.

Different cultures, religions, and individuals define meaning and purpose in very different ways, with no way to prove one view more correct than another. This makes questions about how to live well deeply personal rather than settled.

Free expression is valued almost everywhere, but so is protection from harassment, incitement, and harmful misinformation, and these values often conflict directly. No universal line exists for where one right ends and the other begins.

As machines take over more jobs, some people may be unable to find meaningful paid work through no fault of their own. Whether society owes them support, and how much, remains a contested ethical and political question.

Some countries and individuals consume vastly more resources than others, and there's no broadly accepted definition of what a fair share would even look like. This makes global cooperation on resource use difficult to justify to everyone involved.

Advances in medicine keep pushing life expectancy higher, but there's no consensus on whether radically extending life is actually good for individuals or society. This question becomes more urgent as anti-aging research advances.

Vaccine mandates, speed limits, and lockdown policies all raise the same underlying question of how much individual liberty should bend for collective benefit. Different people and cultures answer this very differently, with no clear resolution.

Factory farming, animal testing, and habitat destruction all cause animal suffering for human benefit, but there's no consistent ethical standard for how much suffering is acceptable and why. This gap shows up in inconsistent laws and practices worldwide.

Colonization, slavery, and resource extraction left lasting harm in many parts of the world, and debates over reparations or restitution remain unresolved almost everywhere they're raised. There's no broadly accepted framework for addressing this.

Climate change, inequality, and other large problems result from systems, not just individual choices, yet blame and responsibility are still often placed on individuals. How we think about this shapes both policy and personal guilt.

More people are weighing whether having children is fair to those children, given the environmental future they may inherit. This is a deeply personal question without any broadly agreed answer.

As AI systems become more capable, questions about whether they deserve any form of moral consideration are becoming less theoretical. Society has no shared answer for where, if anywhere, that line should be drawn.

Poorer countries often struggle with currency instability that makes trade, debt repayment, and planning far harder than for wealthier nations with stronger currencies. A more stable, fairer international monetary system remains unbuilt.

When automation replaces jobs, the resulting profits mostly go to business owners and shareholders, not the workers who lost their income. A fairer system for sharing these gains remains an unsolved economic and political question.