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21st episode of the 1st season of Brooklyn Nine-Nine
"Unsolvable" is the twenty-first episode of the first season of the American television police sitcom series Brooklyn Nine-Nine. Written by co-executive
Unsolvable
Measure of unsolvability
after Alan Turing) or degree of unsolvability of a set of natural numbers measures the level of algorithmic unsolvability of the set. The concept of Turing
Turing_degree
Yes-or-no question that cannot ever be solved by a computer
integer values of the variables. Matiyasevich showed this problem to be unsolvable by mapping a Diophantine equation to a recursively enumerable set and
Undecidable_problem
Sliding puzzle with fifteen pieces and one space
equivalence classes of the same size. This means that half of all positions are unsolvable, although it says nothing about the remaining half. The invariant is the
15_puzzle
Limitative results in mathematical logic
undefinability of truth, Church's proof that Hilbert's Entscheidungsproblem is unsolvable, and Turing's theorem that there is no algorithm to solve the halting
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Solitaire card game
fundamentally different from most solitaire games in that very few deals are unsolvable, and all cards are dealt face-up from the beginning of the game. It was
FreeCell
Device to resolve the plot of a dramatic work
machine') is a plot device, a type of denouement in which a seemingly unsolvable problem in a story is suddenly or abruptly resolved by an unexpected and
Deus_ex_machina
Topics referred to by the same term
Look up undecidable or undecidability in Wiktionary, the free dictionary. Undecidable may refer to: Undecidable problem in computer science and mathematical
Undecidable
Fictional FBI unit
television series The X-Files, an "X-File" is a case that has been deemed unsolvable or given minimal-priority status by the Federal Bureau of Investigation
X-files_unit
Problem in computer science
halting problem for tag systems, regarding it as a candidate for unsolvability. Its unsolvability was not established until much later, by Marvin Minsky. 1928 (1928):
Halting_problem
On solvability of Diophantine equations
to see whether they are solutions of the corresponding equation. The unsolvability of Hilbert's tenth problem is a consequence of the surprising fact that
Hilbert's_tenth_problem
1997 film by Gus Van Sant
November 23, 2025. Mikkelson, David (January 25, 2023). "The Legend of the 'Unsolvable Math Problem'". Snopes. Archived from the original on October 31, 2021
Good_Will_Hunting
English computer scientist (1912–1954)
typescript of his investigations. That same month, Church published his An Unsolvable Problem of Elementary Number Theory, with similar conclusions to Turing's
Alan_Turing
American mathematician and computer scientist (1903–1995)
known for the lambda calculus, the Church–Turing thesis, proving the unsolvability of the Entscheidungsproblem ("decision problem"), the Frege–Church ontology
Alonzo_Church
Thought experiment
proven to be unsolvable. An important consequence of this proof is that generalizations such as the Byzantine Generals problem are also unsolvable in the face
Two_Generals'_Problem
Sequence of operations for a task
and Computers, Odense University, pp. 91–109 Church, Alonzo (1936). "An Unsolvable Problem of Elementary Number Theory". American Journal of Mathematics
Algorithm
Hero victorious through unsolvable riddle
(typically a hero in a folk tale) gains something with the help of an unsolvable riddle. Verlyn Flieger (citing Williamson, Archer Taylor and Hilda Ellis
Neck_riddle
Subfield of mathematics
recursion theory studies algorithmic unsolvability; a decision problem or function problem is algorithmically unsolvable if there is no possible computable
Mathematical_logic
Mathematical function that can be computed by a program
Computable functions are the basic objects of study in computability theory. Informally, a function is computable if there is an algorithm that computes
Computable_function
Problem in formal logic
In formal logic, Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given conjunction of propositional Horn clauses is satisfiable or
Horn-satisfiability
Collection of religious texts
There is a growing consensus, however, that the question of genre is unsolvable and would not, in any case, solve the issue of historicity: "Is Acts history
Bible
1985 puzzle book by Christopher Manson
Boing Boing Maze: beautiful, inspirational, unsolvable | The Gameshelf Maze: beautiful, inspirational, unsolvable – Jason McIntosh Maze by Christopher Manson
Maze: Solve the World's Most Challenging Puzzle
Maze:_Solve_the_World's_Most_Challenging_Puzzle
subdivision which investigated criminal acts from 1948 to 1989 which were unsolvable for political reasons during the Czechoslovak communist regime. Institute
Office for the Documentation and the Investigation of the Crimes of Communism
Office_for_the_Documentation_and_the_Investigation_of_the_Crimes_of_Communism
2008 video game
visions, who has been approached by the police to help solve a series of "unsolvable" cases, dubbed "The Vanishing Files". Reception Cate West: The Vanishing
Cate West: The Vanishing Files
Cate_West:_The_Vanishing_Files
King of Macedon from 336 to 323 BC
the ancient Phrygian capital of Gordium, Alexander "undid" the hitherto unsolvable Gordian Knot, a feat said to await the future "king of Asia". According
Alexander_the_Great
Serial killer in California in the 1960s
". The New York Times. April 26, 2022. Anguiano, Dani. "'It's not an unsolvable case': has the Zodiac killer finally been found?". The Guardian. October
Zodiac_Killer
Video-focused social media platform
the internet is at it again. The real reason OnlyFans users are posting unsolvable riddles on TikTok". CityAM. Archived from the original on 26 March 2023
TikTok
Undecidability of equality of real numbers
A(x)<0} was unsolvable, the question of whether there was x {\displaystyle x} with A ( x ) = 0 {\displaystyle A(x)=0} was also unsolvable. Miklós Laczkovich
Richardson's_theorem
Indian mathematician (1887–1920)
fractions, including solutions to mathematical problems then considered unsolvable. Ramanujan initially developed his own mathematical research in isolation
Srinivasa_Ramanujan
Short story by Frank Stockton
expression, a shorthand indication or signifier, for a problem that is unsolvable.[citation needed][not in body] A "semi-barbaric" king rules a land sometime
The_Lady,_or_the_Tiger?
Thesis on the nature of computability
Herbrand–Gödel recursion and then proved (1936) that the Entscheidungsproblem is unsolvable: there is no algorithm that can determine whether a well formed formula
Church–Turing_thesis
Dramatic principle
machina – a plot element introduced unexpectedly to resolve an otherwise unsolvable situation Bitsilli, Petr Mikhailovich (1983). Chekhov's Art: A stylistic
Chekhov's_gun
Colloquial term
unattributed to an identifiable perpetrator, or otherwise unsolved or unsolvable. The term is used colloquially in law and fiction (especially crime fiction)
Perfect_crime
Category of mathematical proof
the Entscheidungsproblem) is unsolvable. Martin Davis, The Undecidable, Basic Papers on Undecidable Propositions, Unsolvable Problems And Computable Functions
Proof_of_impossibility
Puzzle video game
where a box or the player becomes permanently trapped, making the puzzle unsolvable. Imabayashi's company, Thinking Rabbit, released the first commercial
Sokoban
Impossible task in computing
late as 1930, Hilbert believed that there would be no such thing as an unsolvable problem. Before the question could be answered, the notion of "algorithm"
Entscheidungsproblem
Decision problem pertaining to equivalence of expressions
Markov Jr. independently construct finitely presented semigroups with unsolvable word problem. Post's construction is built on Turing machines while Markov's
Word_problem_(mathematics)
Khan of the Mongol Empire from 1206 to 1227
Elena; Henneberg, Maciej (2021). "Genghis Khan's death (AD 1227): An unsolvable riddle or simply a pandemic disease?". International Journal of Infectious
Genghis_Khan
Geometric shape formed from five squares
Unsolvable patterns
Pentomino
Breakfast cereal made by Post
pronounce "crunchy." The back of the box featured ridiculous, and sometimes unsolvable, games and puzzles, including a memory-type card game on every box. Most
Cröonchy_Stars
American filmmaker (1946–2025)
Sound". Firebird Magazine. Retrieved November 29, 2025. "David Lynch's Unsolvable Puzzles". The New Yorker. February 6, 2025. Archived from the original
David_Lynch
Construction of an angle equal to one third a given angle
centuries. Because it is defined in simple terms, but complex to prove unsolvable, the problem of angle trisection is a frequent subject of pseudomathematical
Angle_trisection
2011–2024 armed conflict in Syria
sanctions will likely hurt ordinary Syrian people, saying, "it is an almost unsolvable unfeasible equation. If they are imposed, they will indirectly harm the
Syrian_civil_war
2020 film by Charlie Kaufman
but lamenting the plot, writing: "I'm Thinking of Ending Things is an unsolvable riddle where the only answer is mankind's hopelessness, and we've been
I'm_Thinking_of_Ending_Things
American police detective (born 1946)
1977, Kenda volunteered to take over an attempted murder case deemed unsolvable by veteran detectives. Kenda solved the case and was moved to the police
Joe_Kenda
Puzzle game involving sliding pieces
featuring a comic book character An example of the Klotski puzzle An unsolvable puzzle due to the pieces not being in an even permutation Fifteen puzzle
Sliding_puzzle
Problem in finite group theory
algebra. As a result of its unsolvability, several other problems in combinatorial group theory have been shown to be unsolvable as well. The word problem
Word_problem_for_groups
Prime pair of the form (p, 2p+1)
1. In this case, x n + y n = z n {\displaystyle x^{n}+y^{n}=z^{n}} is unsolvable. Germain's proof, however, remained unfinished. Through her attempts to
Safe and Sophie Germain primes
Safe_and_Sophie_Germain_primes
Tiling puzzle
by the Ertl Company in June 1999. It was marketed as being practically unsolvable, with a £1 million prize on offer for whoever could solve it within four
Eternity_puzzle
American TV true crime series (2011–2020)
after solving a double shooting which veteran detectives believed was unsolvable, he was assigned to the homicide division. The case was presented in the
Homicide_Hunter
American mathematician (1928–2023)
1950. His doctoral dissertation, entitled On the Theory of Recursive Unsolvability, was supervised by American mathematician and computer scientist Alonzo
Martin_Davis_(mathematician)
American television series
works in the X-Files division, which is concerned with cases marked as unsolvable; most involve supernatural/mysterious circumstances. Mulder considers
The_X-Files
Problem of deciding whether an expression equals zero
be zero. Integer relation algorithm Richardson, Daniel (1968). "Some Unsolvable Problems Involving Elementary Functions of a Real Variable". Journal of
Constant_problem
Branch of philosophy
and argue that the mind–body problem is currently unsolvable, and perhaps will always remain unsolvable to human beings. This is usually termed New mysterianism
Philosophy_of_mind
Energy difference between ground and first excited states
2015). "Scientists Just Proved A Fundamental Quantum Physics Problem is Unsolvable". Futurism. Retrieved 18 December 2018. Nachtergaele, Bruno; Sims, Robert
Spectral_gap_(physics)
Greek philosopher (c. 470–399 BC)
recently, Charles H. Kahn has reinforced the skeptical stance on the unsolvable Socratic problem, suggesting that only Plato's Apology has any historical
Socrates
Email service
sender Mailbox provider Chen, Brian X. (June 17, 2020). "Tackling the Unsolvable Problem: The Bottomless Email Inbox". The New York Times. ISSN 0362-4331
Hey_(email_service)
2011 Japanese TV series or program
very good after Kageyama solved a seemingly unsolvable mystery. After that, whenever Reiko meets an unsolvable case, she would lay out the details of the
The Dinner Table Detective (2011 TV series)
The_Dinner_Table_Detective_(2011_TV_series)
Appearing random but actually being generated by a deterministic, causal process
pseudorandom number generator – Type of functions designed for being unsolvable by root-finding algorithms List of random number generators Pseudorandom
Pseudorandomness
Computation model defining an abstract machine
eventually produce s. This is due to the fact that the halting problem is unsolvable, which has major implications for the theoretical limits of computing
Turing_machine
aware of the crisis of reason and see the antinomy, those rationally unsolvable contradictions that reason unearths, as the basis for personal renewal
Metanoetics
that the 3-SAT problem is solvable or that the 1-in-3-SAT problem is unsolvable. Provided that the complexity classes P and NP are not equal, neither
XOR-SAT
Proof by Alan Turing
TRUE, but not provable) which means that the Entscheidungsproblem is unsolvable. [If readers intend to study the proof in detail they should correct their
Turing's_proof
Mathematical puzzle
version in a convoluted way, and then ask an audience member to solve the unsolvable version. To see that the problem is insolvable (when starting with just
Three_cups_problem
Work of mathematical cranks
Common areas of pseudomathematics are solutions of problems proved to be unsolvable or recognized as extremely hard by experts, as well as attempts to apply
Pseudomathematics
Card game
in chess, the full game tree of No-Limit Hold'em is still considered unsolvable, as more than 10 160 {\displaystyle 10^{160}} possible decisions would
Poker
Greek librarian, mathematician, geographer, and poet
mathematical approximate solution to the problem of doubling the cube, which was unsolvable with compass and ruler. In order to solve this problem, he constructed
Eratosthenes
2023 Chinese science fiction television series
have already seen many similar models and have proof that the problem is unsolvable. A giant moon rises, and the secretary-general explains that it is a remnant
Three-Body
Soviet mathematician (1903–1979)
result that he proved in 1947 was that the word problem for semigroups was unsolvable; Emil Leon Post obtained the same result independently at about the same
Andrey_Markov_Jr.
Suddenly understanding a problem or concept
attempts to describe the process in problem solving when a previously unsolvable puzzle becomes suddenly clear and obvious. Often this transition from
Eureka_effect
American action-adventue television series (1985–1992)
common items. The clever solutions MacGyver implemented to seemingly unsolvable problems—often in life-or-death situations requiring him to improvise
MacGyver_(1985_TV_series)
Paradoxical assertion
underlies each statement, including the "liar".[clarification needed] The unsolvable paradox – a situation in which either a contradiction (virodha) or infinite
Liar_paradox
5 September 1996 (1996-09-05) A professor comes to rescue the police from the unsolvable case of the great hypnotist's murder. 47 47 "The Time Machine" Achyut
List_of_Aahat_episodes
Café in Lwów / Lviv
Scottish Book. The book—a collection of solved, unsolved, and even probably unsolvable problems—could be borrowed by any of the guests of the café. Solving any
Scottish_Café
1989 science fiction drama film by Michael Anderson
Gate technology that made time travel possible; his death results in an unsolvable paradox—a force infinity timequake—which will destroy the entire civilization
Millennium_(film)
Protagonist in a series of short detective stories by Aleister Crowley
of his own old age. The stories typically revolve around an apparently unsolvable crime, which is eventually untangled by Iff's magical and psychological
Simon_Iff
1896 symphonic poem by Richard Strauss
original key of C—and above the woodwinds, in the key of B major. The unsolvable end of the universe: for Strauss was not pacified by Nietzsche's solution
Also_sprach_Zarathustra
American TV show season
Vegas CSIs investigate another series of gruesome, unprecedented, and unsolvable crimes, including the murder of the son of a Las Vegas mogul ("Burked")
CSI: Crime Scene Investigation season 2
CSI:_Crime_Scene_Investigation_season_2
Physical team-building activity
possible scenarios emerging in a human knot game: 1. A solvable unknot 2. More than one ring 3. An unsolvable trefoil knot 4. An unsolvable figure-eight knot
Human_knot
Word whose spelling is derived by reversing the spelling of another word
at three years old". 23 March 2007. "The Story Behind Lewis Carroll's Unsolvable Riddle". Mental Floss. September 12, 2021. Alan F. Beck, The Adventures
Anadrome
Topics referred to by the same term
machine Turing degree equivalence (of sets), having the same level of unsolvability Turing machine equivalents Turing test (disambiguation) This disambiguation
Turing_equivalence
Medieval military order
the violence is unknown and widely recognized by historians to be an unsolvable mystery. The estimates range from 60 rebellious leaders, reported by dignitaries
Teutonic_Order
Russian mathematician (1938–2017)
Russians were interested in proving it unsolvable because its unsolvability would have been a way to get the unsolvability of Hilbert’s Tenth Problem, without
Gennady_Makanin
Set defined in terms of a finite number of ordinals by a first-order formula
Martin (ed.), The undecidable. Basic papers on undecidable propositions, unsolvable problems and computable functions, Raven Press, Hewlett, N.Y., pp. 84–88
Ordinal_definable_set
Headrick Chris Headrick March 2, 2007 (2007-03-02) TBA After watching the Unsolvable Mysteries TV show, Grim realizes he forgot a million years ago to reap
List of The Grim Adventures of Billy & Mandy episodes
List_of_The_Grim_Adventures_of_Billy_&_Mandy_episodes
known to terminate, while in others are known to be generally recursively unsolvable. A graphical object and method based user interface which is easy and
Magnus (computer algebra system)
Magnus_(computer_algebra_system)
Solution of some Diophantine equation
allows us to use the MRDP theorem to conclude that the tenth problem is unsolvable. In the following examples, the natural numbers refer to the set of positive
Diophantine_set
2009 novel by James Dashner
Dashner had an idea for a book "about a bunch of teenagers living inside an unsolvable Maze full of hideous creatures, in the future, in a dark, dystopian world
The_Maze_Runner
Problems in reconstructing a historical and philosophical image of Socrates
is seemingly impossible to clarify and thus perhaps now classified as unsolvable. Early proposed solutions to the matter still pose significant problems
Socratic_problem
1999 video game
and forest fires was very ambitious, but had to be reduced as it led to unsolvable path finding problems. Also a "loadout" screen was to be implemented,
Command & Conquer: Tiberian Sun
Command_&_Conquer:_Tiberian_Sun
Israeli Orthodox Jewish philosopher (1903–1994)
praying. Leibowitz maintained the idea that Mind-body problem is inherently unsolvable. He argued that humans cannot rationally understand how a mental event
Yeshayahu_Leibowitz
Unsolved 1988 disappearance of 15-year-old
Hunting Killers: Britain's Top Crime Investigator Reveals How He Solves the Unsolvable. Bantam Press. ISBN 978-1787631311. Lee Boxell on Missing People Lee Boxell
Disappearance_of_Lee_Boxell
2023 South Korean television series
students at Pride Academy prepare for midterms. 13 "How We Approach an Unsolvable Conjecture" Transliteration: "Mijee Daecheohaneun Uri-eui Jase" (Korean:
Crash_Course_in_Romance
British talent agent
died by suicide very soon after Dors' death, Dawson was left with an unsolvable puzzle. He sought out computer forensic specialists Inforenz, who recognised
Mark_Dawson
Serbian inventor (1885–1967)
and adapted by most European railways. Božić's invention resolved then unsolvable problems, such as solutions distributor (main braking device). Three working
Dobrivoje_Božić
American physicist (1907–1988)
are used to focus the force of an explosion. Nevertheless, seemingly unsolvable problems with shock wave uniformity brought progress on implosion to a
Seth_Neddermeyer
Crime drama by William Morgan
embarrassing his superior in court, he is punished by being assigned a seemingly unsolvable cold case concerning a notorious embezzler who has been missing for four
Mr. District Attorney (1941 film)
Mr._District_Attorney_(1941_film)
2015 mixtape by Young Thug
(November 13, 2015). "Review: Young Thug Continues to Turn Rap Into an Unsolvable Maze on 'Slime Season 2′". Spin. Retrieved August 21, 2016. Russell, Brooklyn
Slime_Season_2
threat of Russian invasion. The title is an allusion to the provably unsolvable geometrical problem of squaring the circle, i.e., constructing a square
Squaring the Circle (1984 play)
Squaring_the_Circle_(1984_play)
Mathematical word problem
critical thinking in children, and do not teach them that a question may be unsolvable. However, others have countered that in education students are taught
Age_of_the_captain
UNSOLVABLE
UNSOLVABLE
UNSOLVABLE
UNSOLVABLE
Boy/Male
Scottish
Bank.
Boy/Male
Christian & English(British/American/Australian)
From the Sea's Edge
Boy/Male
Hindu, Indian, Sanskrit
Father; The Middle Child
Surname or Lastname
English
English : habitational name, probably from Colpitts Grange, Northumberland, which is named from Old English col ‘(char)coal’ + pytt ‘pit’.
Girl/Female
Assamese, Bengali, Indian
Bright
Girl/Female
Muslim/Islamic
Dawn
Girl/Female
Muslim
Integrity and virtuous
Surname or Lastname
English
English : evidently a habitational name, perhaps from Aylesbury in Buckinghamshire, which is named from an unattested Old English personal name Ægel + Old English byrig, dative case of burh ‘fort’.
Boy/Male
French
The red-haired one.
Boy/Male
Tamil
Bhaskara | பாஸà¯à®•à®°Â
The Sun
UNSOLVABLE
UNSOLVABLE
UNSOLVABLE
UNSOLVABLE
UNSOLVABLE