Cantor's diagonal argument
In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began. Historically, the diagonal argument first appeared in the work of Paul du Bois-Reymond in 1875.
Wikipage disambiguates
Cantor's+proofCantor's diagonalCantor's diagonal proofCantor's diagonal slashCantor's diagonal theoremCantor's diagonalizationCantor's diagonalization argumentCantor's diagonalization methodCantor's proofCantor's second diagonal argumentCantor's second uncountability proofCantor DiagonalisationCantor DiagonalizationCantor diagonal argumentCantor diagonal methodCantor diagonal slashCantor diagonalizationCantor diagonalization argumentCantors Diagonal argumentDiagonal SlashDiagonal proofDiagonal slashDiagonal slash argumentDiagonalisation argumentDiagonalization argumentFirst diagonal methodSecond diagonal method
Wikipage redirect
primaryTopic
Cantor's diagonal argument
In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began. Historically, the diagonal argument first appeared in the work of Paul du Bois-Reymond in 1875.
has abstract
Cantors zweites Diagonalargume ...... anz ohne ein Zahlensystem aus.
@de
El argumento de la diagonal de ...... nalogía con esta demostración.
@es
En mathématiques, l'argument d ...... émonstration en mathématiques.
@fr
Het diagonaalbewijs van Cantor ...... le getallen al eerder bewezen.
@nl
In set theory, Cantor's diagon ...... Paul du Bois-Reymond in 1875.
@en
L'argomento diagonale di Canto ...... la teoria della calcolabilità.
@it
Na teoria dos conjuntos, o arg ...... uring ao Entscheidungsproblem.
@pt
Rozumowanie przekątniowe – kla ...... przedziału nie są równoliczne.
@pl
カントールの対角線論法(カントールのたいかくせんろんぽう)は ...... 不能性、時間階層定理といった重要な定理の証明で使われている。
@ja
对角论证法是乔治·康托尔於1891年提出的用于说明实数集合是 ...... 证明中都用到了类似的证明构造方法,它們一般亦稱為對角論證法。
@zh
Link from a Wikipage to an external page
Wikipage page ID
Wikipage revision ID
743,883,079
id
CantorDiagonalMethod
title
Cantor Diagonal Method
subject
hypernym
type
comment
Cantors zweites Diagonalargume ...... ion zu den natürlichen Zahlen.
@de
El argumento de la diagonal de ...... nalogía con esta demostración.
@es
En mathématiques, l'argument d ...... ble des parties d'un ensemble.
@fr
Het diagonaalbewijs van Cantor ...... le getallen al eerder bewezen.
@nl
In set theory, Cantor's diagon ...... Paul du Bois-Reymond in 1875.
@en
L'argomento diagonale di Canto ...... la teoria della calcolabilità.
@it
Na teoria dos conjuntos, o arg ...... cardinais que Cantor iniciou.
@pt
Rozumowanie przekątniowe – kla ...... iąg. Na przykład w ten sposób:
@pl
カントールの対角線論法(カントールのたいかくせんろんぽう)は ...... 不能性、時間階層定理といった重要な定理の証明で使われている。
@ja
对角论证法是乔治·康托尔於1891年提出的用于说明实数集合是 ...... 证明中都用到了类似的证明构造方法,它們一般亦稱為對角論證法。
@zh
label
Argomento diagonale di Cantor
@it
Argument de la diagonale de Cantor
@fr
Argumento da diagonalização de Cantor
@pt
Argumento de la diagonal de Cantor
@es
Cantor's diagonal argument
@en
Cantors zweites Diagonalargument
@de
Diagonaalbewijs van Cantor
@nl
Metoda przekątniowa
@pl
カントールの対角線論法
@ja
對角論證法
@zh