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Concept in set theory
In the mathematical discipline of set theory, 0# (zero sharp, also 0#) is the set of true formulae about indiscernibles and order-indiscernibles in the
Zero_sharp
American folk rock band
Edward Sharpe and the Magnetic Zeros were an American folk rock band formed in Los Angeles, California, in 2005. The group was led by singer Alex Ebert
Edward Sharpe and the Magnetic Zeros
Edward_Sharpe_and_the_Magnetic_Zeros
of an inconsistent notion of what a Silver indiscernible would be if zero sharp "exists". If κ is the cardinal, then it says that there is (in a forcing
Silver_cardinal
Topics referred to by the same term
Look up zero, 0, naught, nought, or 零 in Wiktionary, the free dictionary. Zero is a number. Zero or Zeros may also refer to: Zero (Marvel Comics), several
Zero_(disambiguation)
Topics referred to by the same term
zero-sum, a theory in games and economics 0 sharp, also zero sharp or 0#, a concept in set theory 0 section, or zero section, a type of section in a Vector
0S
Large cardinal number
-Erdős cardinal is α {\displaystyle \alpha } -Erdős. The existence of zero sharp implies that the constructible universe L {\displaystyle L} satisfies
Erdős_cardinal
Topics referred to by the same term
Circle symbol (disambiguation) Empty set (∅), the set having no elements Zero sharp (0#), in the Gödel constructible universe Phi (Φ), a letter of the Greek
0_(disambiguation)
Possible axiom for set theory in mathematics
investigated by Kurt Gödel, is inconsistent with the proposition that zero sharp exists and stronger large cardinal axioms (see list of large cardinal
Axiom_of_constructibility
under the assumption of the non-existence of zero sharp, establishing that L is the "core model below zero sharp". The work of Solovay isolated another core
Core_model
Japanese carrier-based fighter aircraft
The Mitsubishi A6M "Zero" is a long-range carrier-capable fighter aircraft that was manufactured by Mitsubishi Aircraft Company, which was part of Mitsubishi
Mitsubishi_A6M_Zero
Sharp 821SH Sharp 822SH Sharp 880SH Sharp 904SH Sharp 905SH Sharp 910SH Sharp 911SH Sharp 912SH Sharp 913SH Sharp 913SH G-Type Char Sharp 920SH Sharp
List_of_Sharp_mobile_phones
Infinite game in descriptive set theory whose payoff set is a lightface analytic set
later forcing-free proof of this direction was given by Sami (1999). 0# (zero sharp) is a real number — formally a subset of ω — that encodes the complete
Lightface_analytic_game
Topics referred to by the same term
Code-Zero or variant, may refer to: Code-Zero, a Japanese-only Square-Enix videogame for the Sharp X68000, see List of Enix games#C Code 0 sail, a type
Code-Zero
Base five numeral system
a thousand, e.g. overlined M̅ was one million. There is also no sign for zero. But with the introduction of inversions like IV and IX, it was necessary
Quinary
Mineral sports drinks
Aquarius Oasis Aquarius Real-Pro Aquarius Vitamin Guard Aquarius Sharp Charge Aquarius Zero Aquarius Water Aquarius Peach Aquarius (Lemon flavored) Aquarius
Aquarius_(drink)
Re:Zero − Starting Life in Another World is an anime television series based on the light novel series Re:Zero − Starting Life in Another World written
List_of_Re:Zero_episodes
2017. Retrieved August 28, 2016 – via YouTube. "Sonic Riders: Zero Gravity - Shift into Zero Gravity!". Archived from the original on October 25, 2008. Retrieved
List of Sonic the Hedgehog characters
List_of_Sonic_the_Hedgehog_characters
Character encoding standard
behavior of neighboring characters. For example, U+200C ZERO WIDTH NON-JOINER and U+200D ZERO WIDTH JOINER may be used to change the default shaping behavior
Unicode
set theory) Tree (set theory) Union (set theory) Von Neumann universe Zero sharp Analytical hierarchy Almost Ramsey cardinal Erdős cardinal Extendible
List of mathematical logic topics
List_of_mathematical_logic_topics
1999 Japanese comedy horror film
Wild Zero is a 1999 Japanese comedy horror film directed by Tetsuro Takeuchi. It stars Masashi Endō as Ace, a fan of the Japanese rock power trio Guitar
Wild_Zero
Concept in mathematical logic
the theory of Ramsey cardinals, Erdős cardinals, Silver cardinals, and zero sharp. Identity of indiscernibles Rough set Jech, Thomas (2003). Set Theory
Indiscernibles
American actor (born 1941)
Allison Episode:"Nice Day for a Hanging" The Loner Johnny Sharp Episode:"The Mourners of Johnny Sharp" 1967 The Fugitive Larry Corby Episode: "The Other Side
Beau_Bridges
American mathematician (born 1938)
University of Chicago Known for Solovay model Solovay–Strassen primality test Zero sharp Martin's axiom Solovay–Kitaev theorem Awards Paris Kanellakis Award (2003)
Robert_M._Solovay
Employment contract with no minimum work time
A zero-hour contract is a type of employment contract in United Kingdom labour law between an employer and an employee, under which the employer is not
Zero-hour_contract
Fingered." Roger Ebert included the film on his "most hated" list, gave it zero out of four stars and wrote: "This movie doesn't scrape the bottom of the
List of 21st-century films considered the worst
List_of_21st-century_films_considered_the_worst
2008 Marvel Studios film
Retrieved August 26, 2022. Phase Zero (August 25, 2022). She-Hulk Episode 2 w/ Special Guest, Spider-Man and Thor Updates (Phase Zero Episode 33) (video). ComicBook
The_Incredible_Hulk_(film)
American politician and diplomat (born 1947)
score of 80 on a scale of zero more-restrictive to 100 less-government stances, with an economic score of ten on a scale of zero more-restrictive to 100
Hillary_Clinton
set theory) Tree (set theory) Union (set theory) Von Neumann universe Zero sharp Glossary of set theory List of large cardinal properties List of properties
List_of_set_theory_topics
Federal region of Belgium including the capital
E411 leads away to the SE. Brussels has an orbital motorway, numbered R0 (R-zero) and commonly referred to as the Ring. It is pear-shaped, as the southern
Brussels
Arithmetic operation
also be extended to powers that are not positive integers. When b is non-zero, the definition b 0 = 1 {\displaystyle b^{0}=1} is compatible with the multiplication
Exponentiation
Physical theory of the cosmos
problem associated with a FLRW. The universe may have positive, negative, or zero spatial curvature depending on its total energy density. Curvature is negative
Big_Bang
Lowest possible energy of a quantum system or field
Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly
Zero-point_energy
Worldwide economic crisis
which had formed 73.2% of the value of the OMX Iceland 15, had been set to zero, leading to the 2008–2011 Icelandic financial crisis. The Federal Deposit
2008_financial_crisis
Abstract strategy board game for two players
After each move, the number of full-time periods that the player took (often zero) is subtracted. For example, if a player has three thirty-second time periods
Go_(game)
American and British internet personality (born 1986)
solitary confinement; opposition to rescuing migrants crossing the Channel; net-zero immigration; weekly referendums; a Department of Assistance & Development
Andrew_Tate
Romance language
off from the Mediterranean by the 5th century, its local Latin diverged sharply from standard grammar rules. Overall, Latin was largely adopted by the
French_language
Musical artist
FünfUndVierzig (Fünfundvierzig 31) 1989 Sharp Spikes & Spurs-Complete Concert Cassette, Inner-X-Musick (XXX 47) 1989 Sharp Spikes & Spurs LP, Inner-X-Musick
Sleep_Chamber
Canadian politician and professor (born 1967)
at least $10million of carbon removal services in the race to reach net-zero government operations by 2050. The purchases in carbon removal services will
Anita_Anand
Former free UK internet TV service
TVCatchup announced on their site that they had commenced legal action against G Zero Ltd, an app developer it had originally contracted to provide mobile apps
TVCatchup
Artistic, literary, musical, and intellectual movement
relationship between humans and their environment. This idealization contrasted sharply with the values of their contemporary industrial society, which they considered
Romanticism
is weaker than Silver cardinal. ω1-iterable cardinal is stronger than zero sharp. Gitman, Victoria (2011), "Ramsey-like cardinals I", Journal of Symbolic
Iterable_cardinal
Ongoing military and political conflict in West Asia
" The Wye River Memorandum agreed on by the PA and Israel introduced a "zero tolerance" policy for "terror and violence." This policy was uniformly criticized
Israeli–Palestinian_conflict
Japanese light novel series and its adaptations
website in April 2019. An anime television series adaptation produced by Zero-G aired in split-cours, with the first part aired from October to December
Let This Grieving Soul Retire!
Let_This_Grieving_Soul_Retire!
Number, approximately 3.14
positive number at which the sine function equals zero, and the difference between consecutive zeroes of the sine function. The cosine and sine can be
Pi
1964 musical
any specific painting". During rehearsals, one of the stars, Jewish actor Zero Mostel, feuded with Robbins, whom he held in contempt because Robbins had
Fiddler_on_the_Roof
documents. The nnnn or hhhh may be any number of digits and may include leading zeros. The hhhh may mix uppercase and lowercase, though uppercase is the usual
List_of_Unicode_characters
Line of longitude, at which longitude is defined to be 0°
book described the thousands years old customs of the prime meridian, or zero longitude, as passing through Avanti, the ancient name for the historic city
Prime_meridian
German automobile manufacturer
vehicles, compensate consumers, and invest in environmental mitigation and zero-emission vehicle technology. This agreement represented one of the largest
Volkswagen
American pilot and agricultural activist (1951–2001)
lives of others. Actor David Carnegie portrayed Ogonowski in BBC docudrama Zero Hour Season 1: Episode 2 (2004) called "The Last Hour of Flight 11". A remote
John_Ogonowski
1979 video game
Milton Bradley Gamevision series: Connect Four, Yahtzee, Hangman, Zero Zap, Card Sharp, and Stratego. These six cartridges were the launch titles for the
Zero_Zap
Set of rules defining correctly structured programs for the C# programming language
Fall in American English. } Enum variables are initialized by default to zero. They can be assigned or initialized to the named values defined by the enumeration
C_Sharp_syntax
Japanese investment holding company
1982 with the launches of the Oh! PC and Oh! MZ magazines, about NEC and Sharp computers respectively. Oh!PC had a circulation of 140,000 copies by 1989
SoftBank_Group
British rock band
album, Count Your Blessings, and considered Suicide Season as their "Year Zero[...] [their] wipe-the-slate-clean time". Bring Me the Horizon then moved
Bring_Me_the_Horizon
Total number of living humans on Earth
10–12 billion by the end of the 21st century, with a growth rate by then of zero. However, other demographers predict that the human population may begin
World_population
American actor and writer
Timm Sharp (born 1978) is an American actor and writer. He is known for his roles as Marshall Nesbitt in the Fox sitcom Undeclared, Doug Von Stuessen
Timm_Sharp
Type of nuclear fission reactor
Net Zero" initiative launched at COP28". Nuclear Energy Agency (NEA). 5 December 2023. Retrieved 13 December 2023. "Accelerating SMRs for Net Zero". Nuclear
Small_modular_reactor
Decade of the Gregorian calendar (2020–2029)
report in September 2023 concluded that 95% of collected NFTs now possess zero market value, and that "79% of all NFT collections remain unsold". Medical
2020s
Family of lossless-compression image file formats
Separator is a null character. The "value" can be any length, including zero up to the maximum permissible chunk size minus the length of the keyword
PNG
Japanese light novel series
The Familiar of Zero (Japanese: ゼロの使い魔, Hepburn: Zero no Tsukaima) is a Japanese fantasy light novel series written by Noboru Yamaguchi, with illustrations
The_Familiar_of_Zero
2018 film directed by Aanand L. Rai
Zero is a 2018 Indian Hindi-language romantic comedy drama film written by Himanshu Sharma, directed by Aanand L. Rai and produced by Colour Yellow Productions
Zero_(2018_film)
Cooling of air in an enclosed space
new equipment, solve both issues with an ozone damage potential (ODP) of zero and a much lower global warming potential (GWP) in the single or double digits
Air_conditioning
2019 video game
2022. "Katana Zero Reviews". OpenCritic. April 18, 2019. Retrieved June 13, 2023. Juba, Joe (April 18, 2019). "Katana Zero Review - A Sharp And Dull Blade"
Katana_Zero
Naturally occurring combustible liquid
IEA. Retrieved April 3, 2022. "Reaching Zero with Renewables: Biojet Fuels". /publications/2021/Jul/Reaching-Zero-with-Renewables-Biojet-Fuels. July 22
Petroleum
English rock band
"You have got to see this video that's come in". Duran Duran were getting zero radio airplay at the time, and MTV wanted to try to break new music. "Hungry
Duran_Duran
Japanese adult film series
Archived from the original on 2014-11-30. Retrieved 2013-07-14. Sharp p. 328 "Zero WOMAN 警視庁０課の女(1995)" (in Japanese). AllCinema. Retrieved 2013-07-14
Zero_Woman
British actress (born 1974)
December 2015. "See Me - Film4". Film4 Productions. Retrieved 24 March 2026. Sharp, Oscar (11 September 2020). The Kármán Line – starring Olivia Colman. Vimeo
Olivia_Colman
Japanese web TV series
in November 2021 and held its domestic premiere in Tokyo, Japan at Nakano Zero on December 11, 2021. Series creator Christopher McCombs said on UK news
The_Benza
partial order 0# zero sharp, the set of true formulas about indiscernibles and order-indiscernibles in the constructible universe 0† zero dagger, a certain
Glossary_of_set_theory
Fictional character
planned to have a sharp design but producer Junya Okabe proposed a daring appearance. Its suit is a separate molding from the original Zero while the orange
Ultraman_Zero
Semiconductor–semiconductor junction
the edge between the space charge region and the neutral region is quite sharp (see figure B, Q(x) graph). The space charge region has the same magnitude
P–n_junction
American artist
1980s American desire, collective materialistic aspiration, a Less than Zero state of mind", said Alex Israel, whom Duran Duran hired to create the album
Patrick_Nagel
English musician and sound designer
Jonathan Sharp is an electronic body music / industrial musician and professional sound designer from Cumbria, England, who has released music under the
Jonathan_Sharp
American historian and podcaster
flattered by, given her "high caliber." In late 2024, they launched "Season Zero" as a lo-fi experiment. In their description: "Bestselling authors and historians
Mike_Duncan_(podcaster)
McKenna, Bill Travers, Geoffrey Keen Biopic The Brides of Fu Manchu Don Sharp Christopher Lee, Douglas Wilmer, Marie Versini Thriller Co-production with
List_of_British_films_of_1966
Japanese manga series by Gege Akutami
control the oni element present in the story. Known in Japan as Jujutsu Kaisen Zero: Tōkyō Toritsu Jujutsu Kōtō Senmon Gakkō (呪術廻戦 0 東京都立呪術高等専門学校; 'Jujutsu Kaisen
Jujutsu_Kaisen_0
Flicknife Records. 1987. Underground Zerø Live. Video. Under 002 1988. The Best of Hawkwind, Friends and Relations. CD. Sharp 1724CD. Flicknife Records. 1988
Underground_Zerø
Counting from "0" instead of "1" first
chained inequality, combining sharp and standard inequalities to four possibilities, demonstrating that to his conviction zero-based arrays are best represented
Zero-based_numbering
Vacuum tube used to display images
the shadow mask frame". Retrieved 18 December 2022. "Sharp radios over the years" (PDF). global.sharp. Archived (PDF) from the original on 26 January 2021
Cathode_ray_tube
2011 video game
Combat 2: Black Pegasus. The fourth part of the series, Modern Combat 4: Zero Hour, was released in 2012, and the fifth, Modern Combat 5: Blackout, in
Modern Combat 3: Fallen Nation
Modern_Combat_3:_Fallen_Nation
Topics referred to by the same term
editor Don Sharp (golfer), in the Lake Macquarie Amateur Don Sharpe (producer), producer of the 1969 Japanese film Latitude Zero Don Sharp (karateka)
Donald_Sharp
UK's six largest energy suppliers
followed similar paths until the market turbulence in the autumn of 2021. Sharp increases in wholesale gas prices in summer and autumn 2021, and a consequent
Big_Six_energy_suppliers
American mathematician (1942–2016)
notion of a Kurepa tree (called Silver's Principle). He discovered 0# ("zero sharp") in his 1966 Ph.D. thesis, discussed in the graduate textbook Set Theory:
Jack_Silver
First operational jet-powered fighter aircraft
changing the engines to the more powerful Heinkel HeS 011 engines. Me 262 S Zero-series model for Me 262 A-1a Me 262 W-1 Provisional designation for Me 262
Messerschmitt_Me_262
2025 murder
assuring him that he was not insane and that his delusion risk was "near zero". When Soelberg shared his theory that the new packaging of a vodka bottle
Murder_of_Suzanne_Adams
2026 film by Paweł Pawlikowski
Bulgaria, MegaCom Film [sr] in former Yugoslavia, Vertigo Média in Hungary, Zero Gravity in the Czech Republic and Slovakia, Arthouse Traffic [uk] in Ukraine
Fatherland_(2026_film)
construct models with many automorphisms. It is also used in the theory of zero sharp to construct indiscernibles in the constructible universe. Ehrenfeucht
Ehrenfeucht–Mostowski_theorem
Los Angeles Dodgers–Toronto Blue Jays game
Castrovince, Anthony (2025-11-02). "Tireless Yamamoto named World Series MVP – on zero days' rest!". MLB.com. Archived from the original on 2025-11-02. Retrieved
Game 7 of the 2025 World Series
Game_7_of_the_2025_World_Series
American actor (born 1953)
Episode: "Ground Zero" Un siciliano in Sicilia Giuseppe Main Cast 1988 Friday the 13th: The Series Janos Korda Episode: "Symphony in B-Sharp" 1991 Gabriel's
James_Russo
National Basketball Association team in Toronto, Ontario
TSN, December 1, 2014. Levinson King, Robin. "Why Jurassic Park Is Ground Zero For Raptors Fans" Archived May 1, 2016, at the Wayback Machine. (April 26
Toronto_Raptors
2003 video game
F-Zero GX is a 2003 racing game developed by Amusement Vision, a division of Sega, and published by Nintendo for the GameCube. It was released in Japan
F-Zero_GX
American theatre award
Year Performer Production 2010 Jim Brochu Zero Hour Theodore Bikel Sholom Aleichem: Laughter Through Tears Colman Domingo A Boy and His Soul Carrie Fisher
Drama Desk Award for Outstanding Solo Performance
Drama_Desk_Award_for_Outstanding_Solo_Performance
List of responses to the #MeToo movement
for himself and members of his government. Trudeau stated that he holds a "zero tolerance for sexual assault, harassment or other forms of misconduct by
International response to the MeToo movement
International_response_to_the_MeToo_movement
1988 film by Martin Donovan
Apartment Zero, also known as Conviviendo con la muerte (Spanish for Living with Death), is a 1988 British psychological-political thriller film directed
Apartment_Zero
Fourth season of business reality show Shark Tank India
Retrieved 16 January 2025. "Shark Tank India Season 4: Entrepreneur pitches zero-sugar ice cream, Anupam Mittal warns of 'running out of money'". The Economic
Shark_Tank_India_season_4
Device for analogue recording of sound
were introduced as alternatives. In the 1980s, phonograph use declined sharply due to the popularity of cassettes and the rise of the compact disc. However
Phonograph
Sole college of the University of Dublin
technology, and an "executive education centre".[citation needed] The near-zero energy building provides a link between the city and the main University
Trinity_College_Dublin
Pseudoscientific alternative medicine originating from India
These are organized in ten pairs: heavy/light, cold/hot, unctuous/dry, dull/sharp, stable/mobile, soft/hard, non-slimy/slimy, smooth/coarse, minute/gross
Ayurveda
Shrum, Tony (October 29, 2014). "Album Review: As Blood Runs Black – "Ground Zero"". New Noise Magazine. Archived from the original on October 2, 2015. Retrieved
List_of_metalcore_bands
American esports organization
DarkZero Esports, or simply DarkZero (DZ), is an American esports organization. Founded in 2018, DarkZero participates in competitive Rainbow Six Siege
DarkZero_Esports
Slender knife
narrow cross-section and acuminated tip (that is, a tip which tapers to a sharp point) reduce friction upon entry, allowing the blade to penetrate deeply
Stiletto
ZERO SHARP
ZERO SHARP
Boy/Male
Arabic, Australian, German, Greek, Kurdish
Empty; Void
Boy/Male
Biblical
Root, that straitens or binds, that keeps tight.
Biblical
root; that straightens or binds; that keeps tight
Boy/Male
American, Australian, German, Jamaican, Latin
Strong; Vigorous; Powerful; Wise Warrior
Male
Croatian
, a stone.
Boy/Male
Greek
Rock.
Male
African
builder; or fierce.
Male
Spanish
Spanish name derived from Latin juniperus, JUNÃPERO means "juniper tree."
Biblical
crack; leak; distillation; balm
Male
Finnish
Short form of Finnish Antero, TERO means "man; warrior."
Girl/Female
African, Australian, French, Greek, Hebrew, Kurdish, Swahili
Seed
Girl/Female
Latin
Mother of Asopus.
Boy/Male
African, Finnish, German
The Lord is Exalted
Girl/Female
Assamese, Indian
Rounded
Boy/Male
Arabic
Empty.
Male
Finnish
Finnish form of German Erich, EERO means "ever-ruler."Â
Female
Greek
(ἩÏá½¼) Greek name derived form the word hÄ“rÅs, HERO means "hero." In mythology, this is the name of the lover of Leandros (Latin Leander).
Girl/Female
Latin Greek Shakespearean
Daughter of Priam.
Boy/Male
Australian, French, German, Greek, Italian, Portuguese
Rock; Stone
Male
Italian
 Short form of Italian Raniero, NERO means "wise warrior." Compare with another form of Nero.
ZERO SHARP
ZERO SHARP
Boy/Male
English
A bird.
Boy/Male
Hindu
Male
Irish
Irish Gaelic form of Norman French Robert, ROIBÉARD means "bright fame."
Female
Greek
(Ιωάννα) Feminine form of Greek Ioannes, IOANNA means "God is gracious." In the bible, this is the name of a follower of Jesus.
Boy/Male
Hindu
Last of Moksha
Boy/Male
Tamil
Ramabhakta | ரமாஂபாகதாÂ
Devoted to Rama, Lord Hanuman
Boy/Male
Indian
Handsome
Boy/Male
Tamil
Auspicious victory
Girl/Female
Spanish American English German
Pretty.
Boy/Male
Hindu, Indian
Gods Light
ZERO SHARP
ZERO SHARP
ZERO SHARP
ZERO SHARP
ZERO SHARP
n.
A cipher; nothing; naught.
n.
A Roman emperor notorius for debauchery and barbarous cruelty; hence, any profligate and cruel ruler or merciless tyrant.
pl.
of Zero
n.
A man of distinguished valor or enterprise in danger, or fortitude in suffering; a prominent or central personage in any remarkable action or event; hence, a great or illustrious person.
superl.
Able; strong; valiant; redoubtable; as, a doughty hero.
a.
Resembling Achilles, the hero of the Iliad; invincible.
n.
The common cero; also, the spotted cero. See Cero.
n.
A large and valuable fish of the Mackerel family, of the genus Scomberomorus. Two species are found in the West Indies and less commonly on the Atlantic coast of the United States, -- the common cero (Scomberomorus caballa), called also kingfish, and spotted, or king, cero (S. regalis).
n.
An illustrious man, supposed to be exalted, after death, to a place among the gods; a demigod, as Hercules.
n.
That which has no value; a cipher; zero.
n.
The character or personality of a hero.
pl.
of Hero
v. t.
To render worthy; to exalt into a hero.
n.
The art of calculating by nine figures and zero.
n.
The principal personage in a poem, story, and the like, or the person who has the principal share in the transactions related; as Achilles in the Iliad, Ulysses in the Odyssey, and Aeneas in the Aeneid.
n.
Fig.: The lowest point; the point of exhaustion; as, his patience had nearly reached zero.
n.
The point from which the graduation of a scale, as of a thermometer, commences.
pl.
of Zero
n.
A cipher; zero.