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World Solve

A project of Team Humans Club
4194 problems catalogued
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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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While unique prime factorization is proven for standard whole numbers, extending and confirming similar uniqueness properties across various generalized number systems remains an unresolved area. This continues to shape research in algebraic number theory.

mathematics-logic global-unspecified number proven unique haven whether every sufficiently large has way philosophy-ethics resolved know possible mathematical
WS01334
By The Internet (null_pointer) · 2026-07-19T16:18:35Z
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WS01334 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1334

Some models settle into stability under specific conditions, but a fully general guarantee covering every possible complex real-world system remains an unresolved and actively studied question. This touches applied mathematics, physics, and systems theory broadly.

mathematics-logic global-unspecified possible guarantee complex real-world system don know whether any sufficiently philosophy-ethics resolved haven every mathematical
WS01335
By The Internet (hello_world) · 2026-07-19T16:18:35Z
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WS01335 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1335

Some proofs span thousands of pages or rely on massive computer verification, and whether complete, error-free confidence is ever truly achievable for such proofs remains a genuinely unresolved epistemological and mathematical question. This shapes ongoing debates about the future of mathematical certainty.

mathematics-logic north-america united-states mathematical proofs whether haven resolved possible fully efficiently verify correctness global-unspecified philosophy-ethics know every
WS01336
By The Internet (late_night_reader) · 2026-07-19T16:18:35Z
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WS01336 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1336

Logical simplification techniques work well for many cases, but a fully general method guaranteed to simplify every possible logical structure remains unresolved. This connects formal logic with the practical design of computer circuits and databases.

technology-computing global-unspecified logical every possible but structure don know whether pattern interconnected resolved mathematics-logic philosophy-ethics haven mathematical
WS01337
By The Internet (citizen_of_earth) · 2026-07-19T16:18:35Z
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WS01337 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1337

Gödel's theorems confirm this for many well-known systems, but whether every conceivable finite proof system inevitably faces this limitation remains an unresolved logical question. This continues to shape foundational research into the nature of formal systems.

mathematics-logic global-unspecified whether every finite proof system haven determined mathematical must eventually philosophy-ethics resolved know possible
WS01339
By The Internet (seaglass) · 2026-07-19T16:18:35Z
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WS01339 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1339

Scheduling problems appear throughout logistics and computing, and while efficient solutions exist for many specific cases, a fully general efficient method remains unresolved for the broader problem family. This unresolved question connects theoretical computer science with real-world efficiency.

technology-computing global-unspecified possible efficient fully method don know whether guarantee finding best philosophy-ethics resolved mathematics-logic haven every mathematical
WS01340
By The Internet (late_night_reader) · 2026-07-19T16:18:35Z
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WS01340 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1340

Some sequences appear statistically uniform for extraordinarily long stretches before finally revealing subtle bias, and whether this always eventually happens remains an open question in number theory. This connects deeply to the study of pseudorandom number generation.

mathematics-logic global-unspecified whether eventually bias haven proven every possible infinite sequence generated know resolved philosophy-ethics mathematical
WS01342
By The Internet (stray_thought) · 2026-07-19T16:18:35Z
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WS01342 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1342

Shape matching is solved efficiently for many specific cases, but a complete and efficient general method for every possible shape comparison remains an unresolved computational geometry question. This has real applications in computer vision and pattern recognition.

technology-computing global-unspecified whether possible general efficient method don know construct fully determining haven philosophy-ethics resolved mathematics-logic every mathematical
WS01343
By The Internet (the_lurker) · 2026-07-19T16:18:35Z
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WS01343 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1343

Stability analysis offers strong tools for many specific systems, but a fully general and precise predictive theory covering every possible system remains incomplete. This unresolved boundary connects pure mathematics with physics, engineering, and economics.

mathematics-logic global-unspecified possible fully system haven resolved whether predict exact conditions under philosophy-ethics know every mathematical
WS01345
By The Internet (anon_1904) · 2026-07-19T16:18:35Z
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WS01345 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1345

Information theory provides strong bounds on efficiency for many specific cases, but proving whether truly optimal encoding always exists for every possible scenario remains an unresolved theoretical question. This connects mathematics directly to modern data compression and communication.

mathematics-logic global-unspecified encoding whether every possible information always don know way mathematically philosophy-ethics resolved haven
WS01346
By The Internet (open_thinker) · 2026-07-19T16:18:35Z
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WS01346 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1346

Enclosing shape problems, like finding the smallest circle or polygon containing a set of points, are solved for many specific shape types, but a fully general theory covering every possible enclosing shape remains incomplete. This connects computational geometry with practical applications like facility location.

mathematics-logic global-unspecified shape every set points smallest possible specific haven determined whether resolved know philosophy-ethics mathematical
WS01348
By The Internet (the_lurker) · 2026-07-19T16:18:35Z
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WS01348 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1348

Some equations are proven to have no whole-number solutions through specific clever arguments, but a fully general and unified explanatory framework covering every such case remains an unresolved number-theoretic goal. This continues to drive research into Diophantine equations.

mathematics-logic global-unspecified equations framework fully have solutions don know whether possible construct philosophy-ethics resolved haven every
WS01349
By The Internet (dev_null) · 2026-07-19T16:18:35Z
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WS01349 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1349

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.

mathematics-logic global-unspecified mathematical whether true infinitely cases general haven resolved every statement philosophy-ethics know possible
WS01350
By The Internet (open_thinker) · 2026-07-19T16:18:35Z
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WS01350 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1350

Statistical and mathematical tools can detect many kinds of patterns efficiently, but a fully general and guaranteed method covering every possible hidden pattern type remains an unresolved theoretical question. This connects pure mathematics with the practical challenges of modern data analysis.

mathematics-logic global-unspecified possible fully method hidden patterns pure mathematical analysis haven proven whether philosophy-ethics resolved know every
WS01351
By The Internet (longform_fan) · 2026-07-19T16:18:35Z
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WS01351 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1351

Some infinite objects can be perfectly captured by finite descriptions, like certain repeating decimals, but many others resist any such finite representation, and the full boundary between the two remains incompletely mapped. This unresolved question touches deeply on the philosophy of mathematical infinity.

philosophy-ethics global-unspecified finite infinite mathematical any don know whether every possible object resolved haven mathematics-logic
WS01352
By The Internet (paper_trail) · 2026-07-19T16:18:35Z
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WS01352 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1352

Mathematicians rely on a diverse toolkit of proof techniques suited to different problems, and whether a single unifying method could ever replace this diversity remains a genuinely open and somewhat philosophical mathematical question. This touches on the deepest structure of how mathematical knowledge is built.

mathematics-logic global-unspecified mathematical whether proof single method haven resolved every possible technique know philosophy-ethics
WS01354
By The Internet (echo_chamber_no) · 2026-07-19T16:18:35Z
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WS01354 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1354

Many specific combinatorial puzzles have been solved exactly, but a fully general theory predicting solution counts across every possible puzzle type remains an unresolved and active area of combinatorics. This connects recreational mathematics with deep unresolved theoretical questions.

mathematics-logic global-unspecified possible general theory predicting combinatorial puzzle haven proven whether construct philosophy-ethics resolved know every mathematical
WS01355
By The Internet (the_lurker) · 2026-07-19T16:18:35Z
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WS01355 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1355

Some philosophical traditions argue meaningful experiences hold deeper value than accumulated possessions, while others see this distinction as less clear-cut than it first appears. This unresolved question shapes broader debates about consumerism and what truly constitutes a fulfilling life.

philosophy-ethics global-unspecified value experiences possessions life don have resolved way determine whether know haven mathematics-logic ethical
WS01133
By The Internet (open_thinker) · 2026-07-19T16:09:08Z
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WS01133 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1133

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.

philosophy-ethics global-unspecified whether generosity don know fair expect gratitude those help true resolved haven determine mathematics-logic ethical
WS01134
By The Internet (anon_1904) · 2026-07-19T16:09:08Z
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WS01134 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1134

Many people unknowingly benefit from systems built on past or ongoing injustice, and it remains unclear how much responsibility passive beneficiaries bear for addressing that harm. This unresolved question underlies major debates about privilege and structural inequality.

society-governance global-unspecified benefit haven resolved whether humans have obligation correct injustices personally philosophy-ethics know determine mathematics-logic don possible
WS01135
By The Internet (the_lurker) · 2026-07-19T16:09:08Z
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WS01135 | World Solve | https://www.worldsolve.org/index.php?view=problem&id=1135