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WikiCards · Card list · Science cards · Cantor's first set theory article
Common card · Science
Cantor's first set theory article, a Common card
Cantor's first set theory article contains Georg Cantor's first theorems of transfinite set theory, which studies infinite sets and their properties.
- Rarity
- Common
- Domain
- Science
- ATK
- 86
- DEF
- 87
- Power
- 173
- Wikipedia reads a year
- 13,000
Ranked #1,000 of the 3,000 cards of the base set by power (ATK + DEF).
The facts on the card
The card carries these facts from its Wikipedia article.
- One of these theorems is his "revolutionary discovery" that the set of all real numbers is uncountably, rather than countably, infinite.
- This theorem is proved using Cantor's first uncountability proof, which differs from the more familiar proof using his diagonal argument.
- The title of the article, "On a Property of the Collection of All Real Algebraic Numbers", refers to its first theorem: the set of real algebraic numbers is countable.
Why it is Common
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Cantor's first set theory article article was read about 13,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 86 and blocks with 87: each hit it takes is cut by 35 %.
How to get Cantor's first set theory article
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.
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Card lists
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Credits
Text : Wikipedia, Cantor's first set theory article (revision), CC BY-SA 4.0. Photo : Unknown author Unknown author, Public domain, Wikimedia Commons.
