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World Solve

A project of Team Humans Club
2165 problems catalogued
8 humans registered

What World Solve is

World Solve is a living, citable index of unsolved problems — written one line at a time by Team Humans Club, a global collective of builders, researchers, and entrepreneurs. We do not solve the problems here. We Democratize Innovation.

For builders Skip the search for a problem worth your time. Browse a vetted, growing list and start where the gap is real.
For entrepreneurs Every entry is a potential venture thesis — named early, explained plainly, ready to validate.
For researchers Cite any entry directly, track global needs by region, or pull the full dataset via the public API.
2165 total logged
2165 still open
0 marked solved
8 registered profiles

We don't know whether it's possible to build a complete mathematical theory that fully predicts the emergence of complexity from simple underlying rules.

open Global / Unspecified, Global

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.

mathematics-logic global-unspecified theory fully predicts complexity simple rules don know whether possible haven philosophy-ethics resolved every mathematical
WS01303 · Logged by The Internet (seaglass) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01303 Title: We don't know whether it's possible to build a complete mathematical theory that fully predicts the emergence of complexity from simple underlying rules. URL: https://www.worldsolve.org/index.php?api=problem&id=1303

We still haven't resolved whether every possible logical paradox can be fully neutralized using some consistent set of foundational rules.

open Global / Unspecified, Global

Self-referential paradoxes have challenged logicians for over a century, and while specific paradoxes have been addressed with targeted fixes, no single unified framework has resolved every possible version. This unresolved tension remains central to the foundations of mathematical logic.

mathematics-logic global-unspecified resolved every possible haven whether logical paradox fully neutralized some philosophy-ethics know determine
WS01304 · Logged by The Internet (the_lurker) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01304 Title: We still haven't resolved whether every possible logical paradox can be fully neutralized using some consistent set of foundational rules. URL: https://www.worldsolve.org/index.php?api=problem&id=1304

We don't know whether it's possible to find a general rule predicting exactly how many distinct prime factors a randomly chosen large number will have.

open Global / Unspecified, Global

While average behavior is well understood statistically, predicting the exact factor count for any specific number without direct calculation remains fundamentally elusive. This unresolved question touches the probabilistic side of number theory.

mathematics-logic global-unspecified number predicting don know whether possible find general rule exactly haven philosophy-ethics resolved every
WS01305 · Logged by The Internet (gray_matter) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01305 Title: We don't know whether it's possible to find a general rule predicting exactly how many distinct prime factors a randomly chosen large number will have. URL: https://www.worldsolve.org/index.php?api=problem&id=1305

We haven't determined whether it's possible to construct a fully complete list of every irreducible mathematical building block used in advanced algebra.

open Global / Unspecified, Global

While many algebraic structures have been classified, some corners of abstract algebra still lack a fully confirmed and complete classification of their most basic components. This ongoing effort shapes the foundations of modern algebraic research.

mathematics-logic global-unspecified fully complete algebra haven determined whether possible construct list every know resolved philosophy-ethics mathematical
WS01306 · Logged by The Internet (wiki_reader) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01306 Title: We haven't determined whether it's possible to construct a fully complete list of every irreducible mathematical building block used in advanced algebra. URL: https://www.worldsolve.org/index.php?api=problem&id=1306

We don't know whether the exact boundary between solvable and unsolvable optimization problems can be mapped with full precision for every possible problem type.

open Global / Unspecified, Global

Some optimization problems are proven solvable efficiently, others proven intractable, but a complete boundary map covering every conceivable variation remains incomplete. This unresolved question is central to computational complexity theory.

mathematics-logic global-unspecified boundary solvable optimization every don know whether exact between unsolvable haven possible resolved philosophy-ethics mathematical
WS01307 · Logged by The Internet (gray_matter) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01307 Title: We don't know whether the exact boundary between solvable and unsolvable optimization problems can be mapped with full precision for every possible problem type. URL: https://www.worldsolve.org/index.php?api=problem&id=1307

We still haven't proven whether it's possible to always divide any given polygon into a specific number of equal-area triangles using only straight cuts.

open Global / Unspecified, Global

While solutions exist for many specific polygons, a fully general proof or method covering every possible polygon and every possible number of desired pieces remains unresolved. This connects computational geometry with classical dissection puzzles.

mathematics-logic global-unspecified possible polygon specific number haven proven whether always divide any know every resolved philosophy-ethics mathematical
WS01308 · Logged by The Internet (wiki_reader) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01308 Title: We still haven't proven whether it's possible to always divide any given polygon into a specific number of equal-area triangles using only straight cuts. URL: https://www.worldsolve.org/index.php?api=problem&id=1308

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 possible know mathematical resolved philosophy-ethics
WS01309 · Logged by The Internet (the_lurker) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01309 Title: 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. URL: https://www.worldsolve.org/index.php?api=problem&id=1309

We haven't determined whether it's possible to fully characterize every mathematical object that remains unchanged under all possible symmetrical transformations.

open Global / Unspecified, Global

Symmetry classification has succeeded for many specific structures, but a fully complete and general classification covering every conceivable symmetric object remains an ongoing and unresolved mathematical project. This shapes foundational research in group theory and geometry.

mathematics-logic global-unspecified possible fully every mathematical object remains haven determined whether characterize know philosophy-ethics resolved
WS01310 · Logged by The Internet (citizen_of_earth) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01310 Title: We haven't determined whether it's possible to fully characterize every mathematical object that remains unchanged under all possible symmetrical transformations. URL: https://www.worldsolve.org/index.php?api=problem&id=1310

We still haven't resolved whether it's possible to construct a complete and finite set of rules that fully describes every possible valid mathematical proof.

open Global / Unspecified, Global

Formal proof systems capture enormous portions of mathematical reasoning, but whether a truly complete and finite rule set exists for absolutely every valid form of proof remains philosophically and technically unresolved. This touches the very foundations of what mathematics is capable of expressing.

mathematics-logic global-unspecified possible proof whether complete finite set every valid mathematical haven know resolved philosophy-ethics
WS01311 · Logged by The Internet (offline_mode) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01311 Title: We still haven't resolved whether it's possible to construct a complete and finite set of rules that fully describes every possible valid mathematical proof. URL: https://www.worldsolve.org/index.php?api=problem&id=1311

We haven't proven whether every mathematical constant that arises naturally from geometry must always have a provable connection to simpler, more familiar constants.

open Global / Unspecified, Global

Many geometric constants have been linked to constants like pi through elegant proofs, but numerous others remain isolated without any confirmed deeper connection. This unresolved gap continues to intrigue mathematicians working in geometry and analysis.

mathematics-logic global-unspecified constants geometry have connection haven proven whether every mathematical constant resolved know philosophy-ethics possible
WS01312 · Logged by The Internet (dev_null) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01312 Title: We haven't proven whether every mathematical constant that arises naturally from geometry must always have a provable connection to simpler, more familiar constants. URL: https://www.worldsolve.org/index.php?api=problem&id=1312

We don't know whether it's possible to fully predict the long-term stability of any mathematical system describing three or more interacting bodies under gravity.

open Global / Unspecified, Global

The three-body problem famously resists the same clean, closed-form solutions available for two-body systems, and general long-term predictability for all such systems remains incompletely understood. This unresolved question connects pure mathematics directly to astrophysics.

mathematics-logic global-unspecified long-term don know whether possible fully predict stability any mathematical philosophy-ethics haven resolved every
WS01313 · Logged by The Internet (future_watch) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01313 Title: We don't know whether it's possible to fully predict the long-term stability of any mathematical system describing three or more interacting bodies under gravity. URL: https://www.worldsolve.org/index.php?api=problem&id=1313

We still haven't determined whether every sufficiently complex mathematical language can fully and unambiguously describe itself without contradiction.

open Global / Unspecified, Global

Self-referential systems often run into paradoxes, and while specific fixes exist for particular cases, no fully general and complete solution has been proven for every possible self-describing system. This unresolved tension remains central to mathematical logic and computer science.

mathematics-logic global-unspecified every mathematical fully haven determined whether sufficiently complex language unambiguously possible know resolved philosophy-ethics
WS01314 · Logged by The Internet (insomniac_reader) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01314 Title: We still haven't determined whether every sufficiently complex mathematical language can fully and unambiguously describe itself without contradiction. URL: https://www.worldsolve.org/index.php?api=problem&id=1314

We haven't resolved whether it's possible to guarantee an exact, efficient method for finding the shortest possible network connecting any given set of points.

open Global / Unspecified, Global

While good approximate methods exist, a fully efficient and exact general solution for the shortest connecting network across every possible point configuration remains unresolved. This connects computational geometry with practical network design.

mathematics-logic global-unspecified possible network exact efficient shortest connecting haven resolved whether guarantee know every philosophy-ethics mathematical
WS01315 · Logged by The Internet (seaglass) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01315 Title: We haven't resolved whether it's possible to guarantee an exact, efficient method for finding the shortest possible network connecting any given set of points. URL: https://www.worldsolve.org/index.php?api=problem&id=1315

We don't know whether every possible infinite mathematical sequence must eventually contain a specific guaranteed type of internal pattern, regardless of how it's constructed.

open Global / Unspecified, Global

Ramsey-type theorems guarantee certain patterns emerge under specific conditions, but a fully general guarantee covering every conceivable infinite sequence remains an incomplete and active area of study. This connects deeply to combinatorics and the philosophy of mathematical order.

mathematics-logic global-unspecified every infinite mathematical sequence specific don know whether possible must haven resolved philosophy-ethics
WS01316 · Logged by The Internet (echo_chamber_no) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01316 Title: We don't know whether every possible infinite mathematical sequence must eventually contain a specific guaranteed type of internal pattern, regardless of how it's constructed. URL: https://www.worldsolve.org/index.php?api=problem&id=1316

We still haven't proven whether it's possible to fully simulate the exact outcome of any sufficiently complex random process using a purely deterministic mathematical rule.

open Global / Unspecified, Global

Some deterministic systems can mimic randomness remarkably well, but whether every possible random process can be exactly replicated this way remains philosophically and mathematically unresolved. This touches on both probability theory and the philosophy of chance.

mathematics-logic global-unspecified whether possible random process deterministic haven proven fully simulate exact know resolved philosophy-ethics every mathematical
WS01317 · Logged by The Internet (null_pointer) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01317 Title: We still haven't proven whether it's possible to fully simulate the exact outcome of any sufficiently complex random process using a purely deterministic mathematical rule. URL: https://www.worldsolve.org/index.php?api=problem&id=1317

We haven't determined whether it's possible to construct a mathematical proof that verifies its own correctness without relying on any external verification system.

open Global / Unspecified, Global

Self-verifying proofs raise deep questions tied to Gödel's incompleteness results, and whether any sufficiently powerful system can ever fully confirm its own consistency remains unresolved. This continues to shape foundational debates in mathematical logic.

mathematics-logic global-unspecified whether mathematical its own any system haven determined possible construct know philosophy-ethics resolved every
WS01318 · Logged by The Internet (the_lurker) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01318 Title: We haven't determined whether it's possible to construct a mathematical proof that verifies its own correctness without relying on any external verification system. URL: https://www.worldsolve.org/index.php?api=problem&id=1318

We don't know whether every possible infinite geometric pattern built from simple repeating rules must eventually reveal a hidden, predictable symmetry.

open Global / Unspecified, Global

Some patterns appear irregular indefinitely despite simple underlying construction rules, and whether hidden symmetry always eventually emerges remains an open and unresolved geometric question. This connects to both pure mathematics and the study of natural patterns.

mathematics-logic global-unspecified whether geometric simple rules eventually hidden symmetry don know every haven possible philosophy-ethics resolved mathematical
WS01319 · Logged by The Internet (null_pointer) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01319 Title: We don't know whether every possible infinite geometric pattern built from simple repeating rules must eventually reveal a hidden, predictable symmetry. URL: https://www.worldsolve.org/index.php?api=problem&id=1319

We still haven't proven whether every sufficiently large prime gap must eventually shrink below a specific guaranteed bound infinitely often.

open Global / Unspecified, Global

Recent breakthroughs have shown gaps between consecutive primes can be bounded infinitely often, but the exact smallest guaranteed gap remains unresolved. This connects directly to some of the deepest unresolved questions in prime number theory.

mathematics-logic global-unspecified prime gap guaranteed infinitely often haven proven whether every sufficiently know philosophy-ethics possible resolved mathematical
WS01320 · Logged by The Internet (gray_matter) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01320 Title: We still haven't proven whether every sufficiently large prime gap must eventually shrink below a specific guaranteed bound infinitely often. URL: https://www.worldsolve.org/index.php?api=problem&id=1320

We haven't resolved whether it's possible to fully classify every possible way a mathematical object can fail to have a well-defined size or measure.

open Global / Unspecified, Global

Some sets in mathematics resist having a consistent notion of size under standard rules, and a complete classification of every such case remains an unresolved and active area of measure theory. This connects to foundational questions about the nature of mathematical infinity.

mathematics-logic global-unspecified possible every mathematical size measure haven resolved whether fully classify know philosophy-ethics
WS01321 · Logged by The Internet (field_notes) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01321 Title: We haven't resolved whether it's possible to fully classify every possible way a mathematical object can fail to have a well-defined size or measure. URL: https://www.worldsolve.org/index.php?api=problem&id=1321

We don't know whether every finite set of numbers with a specific property must always contain a smaller subset sharing an even stronger version of that property.

open Global / Unspecified, Global

Additive combinatorics explores these kinds of guaranteed substructure questions extensively, but many specific cases remain without a fully general proof. This continues to be an active and evolving research area.

mathematics-logic global-unspecified property specific don know whether every finite set numbers must haven possible resolved mathematical philosophy-ethics
WS01322 · Logged by The Internet (field_notes) on 2026-07-19T16:18:35Z · Working on: 0
Citation ID: WS01322 Title: We don't know whether every finite set of numbers with a specific property must always contain a smaller subset sharing an even stronger version of that property. URL: https://www.worldsolve.org/index.php?api=problem&id=1322