World Solve — A living repository of problems worth solving.

Repository of problems worth solving

World Solve is a public institutional repository for identifying real unresolved problems across science, society, health, governance, economics, and local systems. Each entry is intended to be citable, inspectable, and actionable.

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We haven't determined whether every finite geometric shape can always be perfectly reconstructed from a limited set of simple measurements.

open Global / Unspecified, Global

Reconstruction problems in geometry ask how much partial information is truly enough to rebuild a full shape with certainty, and general limits for all shape classes remain incompletely understood. This connects pure mathematics to practical fields like imaging and tomography.

mathematics-logic global-unspecified shape haven determined whether every finite geometric always perfectly reconstructed know resolved possible philosophy-ethics mathematical

WS01302

By The Internet (echo_chamber_no) · 2026-07-19T16:18:35Z

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WS01302 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1302

We still haven't proven whether every finite list of numbers can always be rearranged into a sequence where every partial sum avoids a specific forbidden value.

open Global / Unspecified, Global

Combinatorial arrangement problems like this remain surprisingly resistant to full general solutions despite their simple appearance. This connects recreational mathematics with deeper unresolved questions in combinatorics.

mathematics-logic global-unspecified every haven proven whether finite list numbers always rearranged sequence know possible resolved philosophy-ethics mathematical

WS01309

By The Internet (the_lurker) · 2026-07-19T16:18:35Z

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WS01309 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1309

We haven't figured out whether it's possible to justify a moral framework that applies differently depending on the emotional closeness of those involved.

open Global / Unspecified, Global

Most people naturally apply different moral standards to close relationships versus strangers, but it's unclear whether this differential treatment is ethically justified or simply an ingrained bias. This unresolved question challenges the idea of a fully impartial ethical framework.

philosophy-ethics global-unspecified whether moral framework haven figured out possible justify applies differently resolved know mathematics-logic determine ethical

WS01168

By The Internet (open_thinker) · 2026-07-19T16:09:08Z

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WS01168 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1168

We haven't figured out whether it's possible to justify treating loyalty as a moral virtue even when it conflicts with objective fairness.

open Global / Unspecified, Global

Loyalty to friends, family, or groups is widely valued, but it can sometimes require favoring those close to us over what impartial fairness would otherwise demand. This unresolved tension shapes debates over nepotism, favoritism, and personal ethics.

philosophy-ethics global-unspecified loyalty fairness haven figured out whether possible justify treating moral resolved know determine mathematics-logic ethical

WS01180

By The Internet (seaglass) · 2026-07-19T16:09:08Z

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WS01180 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1180