World Solve — A living repository of problems worth solving.

We still haven't proven whether it's possible to construct a truly complete mathematical model that predicts every possible outcome of any well-defined game of chance.

open Global / Unspecified, Global

Probability theory offers strong predictive tools for many games, but a fully complete and general model covering every conceivable game of chance remains theoretically unresolved. This touches both pure mathematics and the philosophy of randomness.

mathematics-logic global-unspecified possible complete model every game chance haven proven whether construct know resolved philosophy-ethics mathematical

WS01323 · Logged by The Internet (the_lurker) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01323 Title: We still haven't proven whether it's possible to construct a truly complete mathematical model that predicts every possible outcome of any well-defined game of chance. URL: https://www.worldsolve.org/index.php?api=problem&id=1323

We haven't determined whether every possible infinite fractal pattern can be fully described using a finite set of simple generating rules.

open Global / Unspecified, Global

Many famous fractals are built from simple recursive rules, but whether every possible fractal pattern can always be reduced to such a finite description remains an open mathematical question. This connects geometry, computer science, and the study of natural patterns.

mathematics-logic global-unspecified whether every possible fractal pattern finite simple rules haven determined know resolved philosophy-ethics mathematical

WS01324 · Logged by The Internet (offline_mode) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01324 Title: We haven't determined whether every possible infinite fractal pattern can be fully described using a finite set of simple generating rules. URL: https://www.worldsolve.org/index.php?api=problem&id=1324

We don't know whether it's possible to guarantee a stable, fair outcome for every possible matching problem involving more than two groups with competing preferences.

open Global / Unspecified, Global

Stable matching theory has strong results for two-sided markets, but extending guaranteed stability to three or more interacting groups remains only partially resolved. This unresolved area has real implications for markets, scheduling, and resource allocation.

economics-resources global-unspecified possible stable matching groups don know whether guarantee fair outcome haven mathematics-logic resolved philosophy-ethics every mathematical

WS01325 · Logged by The Internet (paper_trail) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01325 Title: We don't know whether it's possible to guarantee a stable, fair outcome for every possible matching problem involving more than two groups with competing preferences. URL: https://www.worldsolve.org/index.php?api=problem&id=1325

We still haven't resolved whether every mathematical proof that relies on assuming something is true, then finding a contradiction, can always be converted into a more direct proof.

open Global / Unspecified, Global

Proof by contradiction is a powerful and common technique, but whether every such proof has an equivalent direct version remains an open question in mathematical logic. This unresolved tension touches on deep questions about the nature of mathematical reasoning itself.

mathematics-logic global-unspecified proof mathematical whether every contradiction direct haven resolved relies assuming know possible philosophy-ethics

WS01326 · Logged by The Internet (offline_mode) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01326 Title: We still haven't resolved whether every mathematical proof that relies on assuming something is true, then finding a contradiction, can always be converted into a more direct proof. URL: https://www.worldsolve.org/index.php?api=problem&id=1326

We haven't proven whether it's possible to fully determine, using a finite number of steps, whether any given mathematical pattern will repeat forever or never repeat at all.

open Global / Unspecified, Global

Some sequences defy simple prediction of long-term periodicity, and a fully general and efficient method for determining this in every possible case remains unresolved. This connects number theory with computability theory.

mathematics-logic global-unspecified whether repeat possible fully number haven proven determine finite steps know resolved philosophy-ethics every mathematical

WS01327 · Logged by The Internet (seaglass) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01327 Title: We haven't proven whether it's possible to fully determine, using a finite number of steps, whether any given mathematical pattern will repeat forever or never repeat at all. URL: https://www.worldsolve.org/index.php?api=problem&id=1327

We still haven't determined whether it's possible to construct a complete and consistent mathematical framework that fully unifies discrete and continuous mathematics.

open Global / Unspecified, Global

Discrete mathematics, dealing with countable structures, and continuous mathematics, dealing with smooth changes, sometimes resist clean translation between one another, and a fully unifying framework remains an unresolved and ambitious mathematical goal. This touches the deepest foundations of how mathematics is structured.

mathematics-logic global-unspecified mathematics mathematical framework fully discrete continuous haven determined whether possible resolved know every philosophy-ethics

WS01328 · Logged by The Internet (gray_matter) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01328 Title: We still haven't determined whether it's possible to construct a complete and consistent mathematical framework that fully unifies discrete and continuous mathematics. URL: https://www.worldsolve.org/index.php?api=problem&id=1328

We don't know whether it's possible to guarantee an efficient method for solving every possible puzzle in the broad family of constraint satisfaction problems.

open Global / Unspecified, Global

Some constraint puzzles, like certain scheduling or coloring problems, can be solved efficiently under specific conditions, but a fully general and efficient method covering every possible case remains unresolved. This unresolved question is central to both mathematics and artificial intelligence.

mathematics-logic global-unspecified artificial-intelligence possible efficient method every constraint don know whether guarantee solving haven resolved philosophy-ethics mathematical

WS01329 · Logged by The Internet (stray_thought) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01329 Title: We don't know whether it's possible to guarantee an efficient method for solving every possible puzzle in the broad family of constraint satisfaction problems. URL: https://www.worldsolve.org/index.php?api=problem&id=1329

We still haven't proven whether every mathematical theorem that holds true for small cases must eventually reveal a counterexample as numbers grow arbitrarily large.

open Global / Unspecified, Global

History has shown some conjectures hold for enormous ranges before finally failing, raising the unresolved question of how confidently mathematicians can ever trust patterns observed only in finite testing. This shapes ongoing debates about the reliability of computational evidence in mathematics.

mathematics-logic global-unspecified haven proven whether every mathematical theorem holds true small cases know possible resolved philosophy-ethics

WS01330 · Logged by The Internet (insomniac_reader) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01330 Title: We still haven't proven whether every mathematical theorem that holds true for small cases must eventually reveal a counterexample as numbers grow arbitrarily large. URL: https://www.worldsolve.org/index.php?api=problem&id=1330

We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations.

open Global / Unspecified, Global

Specific techniques exist for counting solutions in many cases, but a complete and general method covering every possible polynomial system remains an unresolved goal in algebraic geometry. This continues to be an active area of mathematical research.

mathematics-logic global-unspecified possible general method solutions system polynomial haven determined whether construct know every resolved philosophy-ethics mathematical

WS01331 · Logged by The Internet (citizen_of_earth) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01331 Title: We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations. URL: https://www.worldsolve.org/index.php?api=problem&id=1331

We don't know whether every possible infinite mathematical process that appears chaotic must eventually reveal some form of underlying predictable order.

open Global / Unspecified, Global

Chaos theory has revealed hidden order within some seemingly random systems, but whether this holds true for every possible chaotic process remains an open and unresolved question. This connects mathematics with physics, biology, and the philosophy of determinism.

mathematics-logic global-unspecified whether every possible process chaotic some order don know infinite haven philosophy-ethics resolved mathematical

WS01332 · Logged by The Internet (wiki_reader) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01332 Title: We don't know whether every possible infinite mathematical process that appears chaotic must eventually reveal some form of underlying predictable order. URL: https://www.worldsolve.org/index.php?api=problem&id=1332

We still haven't resolved whether it's possible to fully classify every mathematical structure that behaves consistently under an infinite number of transformations.

open Global / Unspecified, Global

Symmetry groups have been classified extensively for finite cases, but infinite symmetry structures present ongoing classification challenges that remain incompletely resolved. This shapes foundational research in both algebra and geometry.

mathematics-logic global-unspecified resolved infinite haven whether possible fully classify every mathematical structure know philosophy-ethics

WS01333 · Logged by The Internet (open_thinker) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01333 Title: We still haven't resolved whether it's possible to fully classify every mathematical structure that behaves consistently under an infinite number of transformations. URL: https://www.worldsolve.org/index.php?api=problem&id=1333

We haven't proven whether every sufficiently large number has a unique way of being broken down into its most fundamental multiplicative building blocks.

open Global / Unspecified, Global

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 possible know philosophy-ethics resolved mathematical

WS01334 · Logged by The Internet (null_pointer) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01334 Title: We haven't proven whether every sufficiently large number has a unique way of being broken down into its most fundamental multiplicative building blocks. URL: https://www.worldsolve.org/index.php?api=problem&id=1334

We don't know whether it's possible to guarantee that any sufficiently complex mathematical model of a real-world system will always eventually reach a predictable, stable state.

open Global / Unspecified, Global

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 haven philosophy-ethics resolved every mathematical

WS01335 · Logged by The Internet (hello_world) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01335 Title: We don't know whether it's possible to guarantee that any sufficiently complex mathematical model of a real-world system will always eventually reach a predictable, stable state. URL: https://www.worldsolve.org/index.php?api=problem&id=1335

We haven't resolved whether it's possible to fully and efficiently verify the correctness of extremely long mathematical proofs without any possibility of hidden error.

open United States, North America

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 know philosophy-ethics every

WS01336 · Logged by The Internet (late_night_reader) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01336 Title: We haven't resolved whether it's possible to fully and efficiently verify the correctness of extremely long mathematical proofs without any possibility of hidden error. URL: https://www.worldsolve.org/index.php?api=problem&id=1336

We don't know whether every possible pattern of interconnected logical statements can always be reduced to an equivalent but simpler logical structure.

open Global / Unspecified, Global

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 mathematics-logic haven resolved philosophy-ethics mathematical

WS01337 · Logged by The Internet (citizen_of_earth) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01337 Title: We don't know whether every possible pattern of interconnected logical statements can always be reduced to an equivalent but simpler logical structure. URL: https://www.worldsolve.org/index.php?api=problem&id=1337

We still haven't proven whether it's possible to construct a complete mathematical theory that predicts the exact point at which any sufficiently large system becomes computationally intractable.

open Global / Unspecified, Global

Complexity theory identifies broad categories of tractable and intractable problems, but pinpointing the exact threshold for every specific problem type remains incompletely resolved. This unresolved boundary is central to computer science and applied mathematics.

mathematics-logic global-unspecified theory exact intractable haven proven whether possible construct complete mathematical know every resolved philosophy-ethics

WS01338 · Logged by The Internet (seaglass) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01338 Title: We still haven't proven whether it's possible to construct a complete mathematical theory that predicts the exact point at which any sufficiently large system becomes computationally intractable. URL: https://www.worldsolve.org/index.php?api=problem&id=1338

We haven't determined whether every finite mathematical proof system must eventually reach a statement it can neither prove nor disprove, no matter how it's constructed.

open Global / Unspecified, Global

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 possible know resolved philosophy-ethics

WS01339 · Logged by The Internet (seaglass) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01339 Title: We haven't determined whether every finite mathematical proof system must eventually reach a statement it can neither prove nor disprove, no matter how it's constructed. URL: https://www.worldsolve.org/index.php?api=problem&id=1339

We don't know whether it's possible to guarantee a fully efficient method for finding the best possible solution to every version of a resource-scheduling problem.

open Global / Unspecified, Global

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 mathematics-logic haven philosophy-ethics resolved every mathematical

WS01340 · Logged by The Internet (late_night_reader) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01340 Title: We don't know whether it's possible to guarantee a fully efficient method for finding the best possible solution to every version of a resource-scheduling problem. URL: https://www.worldsolve.org/index.php?api=problem&id=1340

We still haven't resolved whether it's possible to fully classify every mathematical curve that can be drawn using only a specific limited set of geometric tools.

open Global / Unspecified, Global

Classical geometry identified many constructible and non-constructible curves using compass and straightedge, but a complete classification across all possible limited toolsets remains an unresolved area. This connects ancient geometric questions with modern algebraic methods.

mathematics-logic global-unspecified possible limited geometric haven resolved whether fully classify every mathematical know philosophy-ethics

WS01341 · Logged by The Internet (echo_chamber_no) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01341 Title: We still haven't resolved whether it's possible to fully classify every mathematical curve that can be drawn using only a specific limited set of geometric tools. URL: https://www.worldsolve.org/index.php?api=problem&id=1341

We haven't proven whether every possible infinite sequence generated by a simple algebraic rule must eventually reveal a detectable long-term statistical bias.

open Global / Unspecified, Global

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 · Logged by The Internet (stray_thought) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01342 Title: We haven't proven whether every possible infinite sequence generated by a simple algebraic rule must eventually reveal a detectable long-term statistical bias. URL: https://www.worldsolve.org/index.php?api=problem&id=1342

What World Solve is

We still haven't proven whether it's possible to construct a truly complete mathematical model that predicts every possible outcome of any well-defined game of chance.

We haven't determined whether every possible infinite fractal pattern can be fully described using a finite set of simple generating rules.

We don't know whether it's possible to guarantee a stable, fair outcome for every possible matching problem involving more than two groups with competing preferences.

We still haven't resolved whether every mathematical proof that relies on assuming something is true, then finding a contradiction, can always be converted into a more direct proof.

We haven't proven whether it's possible to fully determine, using a finite number of steps, whether any given mathematical pattern will repeat forever or never repeat at all.

We still haven't determined whether it's possible to construct a complete and consistent mathematical framework that fully unifies discrete and continuous mathematics.

We don't know whether it's possible to guarantee an efficient method for solving every possible puzzle in the broad family of constraint satisfaction problems.

We still haven't proven whether every mathematical theorem that holds true for small cases must eventually reveal a counterexample as numbers grow arbitrarily large.

We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations.

We don't know whether every possible infinite mathematical process that appears chaotic must eventually reveal some form of underlying predictable order.

We still haven't resolved whether it's possible to fully classify every mathematical structure that behaves consistently under an infinite number of transformations.

We haven't proven whether every sufficiently large number has a unique way of being broken down into its most fundamental multiplicative building blocks.

We don't know whether it's possible to guarantee that any sufficiently complex mathematical model of a real-world system will always eventually reach a predictable, stable state.

We haven't resolved whether it's possible to fully and efficiently verify the correctness of extremely long mathematical proofs without any possibility of hidden error.

We don't know whether every possible pattern of interconnected logical statements can always be reduced to an equivalent but simpler logical structure.

We still haven't proven whether it's possible to construct a complete mathematical theory that predicts the exact point at which any sufficiently large system becomes computationally intractable.

We haven't determined whether every finite mathematical proof system must eventually reach a statement it can neither prove nor disprove, no matter how it's constructed.

We don't know whether it's possible to guarantee a fully efficient method for finding the best possible solution to every version of a resource-scheduling problem.

We still haven't resolved whether it's possible to fully classify every mathematical curve that can be drawn using only a specific limited set of geometric tools.

We haven't proven whether every possible infinite sequence generated by a simple algebraic rule must eventually reveal a detectable long-term statistical bias.