Tarski's undefinability theorem
Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics. Informally, the theorem states that arithmetical truth cannot be defined in arithmetic. The theorem applies more generally to any sufficiently strong formal system, showing that truth in the standard model of the system cannot be defined within the system.
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Tarski's undefinability theorem
Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics. Informally, the theorem states that arithmetical truth cannot be defined in arithmetic. The theorem applies more generally to any sufficiently strong formal system, showing that truth in the standard model of the system cannot be defined within the system.
has abstract
En logique mathématique, le th ...... ité des énoncés de ce langage.
@fr
Il teorema di indefinibilità d ...... ll'interno del sistema stesso.
@it
Tarski's undefinability theore ...... be defined within the system.
@en
Teorema da indefinibilidade de ...... er definido dentro do sistema.
@pt
Теорема Тарского о невыразимос ...... но сильной формальной системе.
@ru
塔斯基不可定義定理（英语：Tarski's undefina ...... 統，以表明：我們無法在系統中定義何謂「系統標準模型的真理」。
@zh
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741,400,173
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comment
En logique mathématique, le th ...... ité des énoncés de ce langage.
@fr
Il teorema di indefinibilità d ...... ll'interno del sistema stesso.
@it
Tarski's undefinability theore ...... be defined within the system.
@en
Teorema da indefinibilidade de ...... er definido dentro do sistema.
@pt
Теорема Тарского о невыразимос ...... но сильной формальной системе.
@ru
塔斯基不可定義定理（英语：Tarski's undefina ...... 統，以表明：我們無法在系統中定義何謂「系統標準模型的真理」。
@zh
label
Tarski's undefinability theorem
@en
Teorema da indefinibilidade de Tarski
@pt
Teorema di indefinibilità di Tarski
@it
Théorème de Tarski
@fr
Теорема Тарского о невыразимости истины
@ru
塔斯基不可定義定理
@zh