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'''List of unsolved problems''' may refer to several notable [[List of conjectures|conjectures]] or [[op * [[List of unsolved problems in astronomy|Unsolved problems in astronomy]] ...

...n|url-access=subscription}}</ref> The one-dimensional case was also proven undecidable in 2020 by constructing a chain of interacting [[qudit]]s divided into bloc *[[List of undecidable problems]] ...

Modern inquiry encompasses [[Undecidable problem|undecidable problems]] and questions such as the halting problem, which in their very nature can ...ophantine problem (closely related to [[Hilbert's tenth problem]]) is also undecidable by reducing it to the halting problem.<ref>Matii︠a︡sevich I︠U︡. V. Hilbert' ...

...ies and operator algebras|author=<!--Not stated--> |publisher=Open quantum problems }}</ref> consists in deciding whether the inclusion relation <math> \bar{Q} ...a quantum box can have a perfect score at a non-local game is known to be undecidable.<ref name=SLOFSTRA/> Moreover, the problem of deciding whether <math>P(a,b| ...

...way of asserting a proposition, and that treating these words as separate problems in isolation from judgment was merely a "linguistic muddle".<ref name="EPT" ...nuum hypothesis]].<ref>Yandell, Benjamin H.. ''The Honors Class. Hilbert's Problems and Their Solvers'' (2002).</ref> Gödel and [[Paul Cohen (mathematician)|Pa ...

Many easily stated number problems have solutions that require sophisticated methods, often from across mathem ...mbers. Algebra (and later, calculus) can thus be used to solve geometrical problems. Geometry was split into two new subfields: [[synthetic geometry]], which u ...