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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4194Total
4194Open
0Solved
9Humans
open
Global / Unspecified, Global
Oscillation experiments show mixing but leave ordering and scale uncertain. Next-generation beta-decay and cosmological probes can answer these questions.
mathematics-logic
global-unspecified
mass
scale
neutrino
hierarchy
absolute
not
fully
resolved
oscillation
experiments
society-governance
without
know
science-space
whether
philosophy-ethics
open
Global / Unspecified, Global
Permanently shadowed craters at the lunar poles reach -240°C, making metals and polymers brittle and prone to shattering. Special cryogenic-resistant alloys and thermal insulation jackets are required.
society-governance
global-unspecified
lunar
reach
permanent
night
regions
near
absolute
zero
causing
severe
industrial
scale
propellant
structural
long
lack
open
Global / Unspecified, Global
Sorting algorithms have been optimized extensively, but proving a true absolute lower bound across all possible sorting methods remains an unresolved question in computational theory. This affects the fundamental efficiency limits of computing.
technology-computing
global-unspecified
limits
haven
resolved
whether
number
steps
needed
sort
any
list
philosophy-ethics
know
mathematics-logic
possible
every
mathematical
open
Global / Unspecified, Global
While many invariants help distinguish specific knots, no single finite and fully general method has been proven to work for absolutely every possible pair of knots. This remains a central unresolved question in the mathematical study of knots.
mathematics-logic
global-unspecified
every
knot
proven
possible
finite
knots
haven
whether
three-dimensional
distinguished
know
resolved
philosophy-ethics
mathematical
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
resolved
know
philosophy-ethics
open
Global / Unspecified, Global
Some philosophers argue honesty is an absolute duty, while others believe consequences justify occasional deception, particularly to prevent harm. Real situations in medicine and relationships constantly test where this line actually falls.
health-biology
global-unspecified
haven
figured
out
whether
ever
morally
permissible
lie
someone
own
philosophy-ethics
resolved
know
determine
mathematics-logic
ethical
