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WikiCards · Card list · Science cards · Axiom of choice
Uncommon card · Science
Axiom of choice, an Uncommon card
In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 80
- DEF
- 61
- Power
- 141
- Wikipedia reads a year
- 170,000
Power 141 (ATK + DEF): stronger than 75 % of WikiCards cards.
Axiom of choice quiz: 3 questions
Three questions on the Axiom of choice card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The axiom of choice was ______ in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem.
Answer
formulated. The axiom of choice was formulated in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem. From the Axiom of choice article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Axiom of choice. Axiom of choice 80 · Ester 75 · Epithelium 71 · Rhea 67 ATK in WikiCards.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- Informally put, the axiom of choice says that given any collection of non-empty sets, one can identify another set containing one element chosen from each set, even if the collection is infinite.
- Formally, the axiom establishes existence rather than a construction, it states that for every set I and every I -indexed family i ∈ I of nonempty sets, there exists an I -indexed set i ∈ I of elements of ∪ i ∈ I S i such that x i ∈ S i for every i ∈ I.
- The axiom of choice was formulated in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Axiom of choice article was read about 170,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 80 and blocks with 61: each hit it takes is cut by 24 %.
How to get Axiom of choice
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Axiom of choice in the power ranking, all domains together.
- RheaUncommon · Nature · ATK 67 DEF 74
- LogisticsUncommon · Society · ATK 79 DEF 62
- Nissan StadiumUncommon · Society · ATK 75 DEF 66
- ChutneyUncommon · Society · ATK 67 DEF 74
- EnthalpyUncommon · Science · ATK 76 DEF 65
- AquiferUncommon · Society · ATK 72 DEF 69
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Axiom of choice (revision), CC BY-SA 4.0. Photo : Wittiko, CC BY 4.0, Wikimedia Commons.
