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床屋のパラドックス 理发师悖论 Парадокс брадобрея 이발사의 역설 مفارقة الحلاق Парадокс голяра Barbier-Paradoxon Paradosso del barbiere Paradoxe du barbier Paradoxo do barbeiro Barber paradox
rdfs:comment
Il paradosso del barbiere è un'antinomia formulata dal filosofo e logico Bertrand Russell per illustrare la sua famosa antinomia riguardo alla teoria degli insiemi. Russell ne attribuì l'invenzione ad una persona che glielo avrebbe suggerito, senza però specificarne il nome. L'antinomia può essere enunciata così: O Paradoxo do barbeiro é um quebra-cabeças derivado do Paradoxo de Russell. Foi usado pelo próprio Bertrand Russell como uma ilustração de paradoxo, embora ele atribua a uma pessoa não identificada quem sugeriu a ele. O paradoxo demonstra que um cenário aparentemente plausível é logicamente impossível. مفارقة الحلاق هي تساؤل منطقي للفيلسوف البريطاني برتراند راسل، طرحه ضمن نظريته المتعلقة بالمجموعات الرياضية. Le paradoxe du barbier est une illustration à but didactique du paradoxe de Russell, attribuée à Bertrand Russell.Il ne faut donc pas donner une importance excessive à ce « paradoxe ». Par exemple, le logicien Evert Willem Beth qualifie ce paradoxe d'« antinomie prétendue » ou de « pseudo-antinomie ». The barber paradox is a puzzle derived from Russell's paradox. It was used by Bertrand Russell as an illustration of the paradox, though he attributes it to an unnamed person who suggested it to him. The puzzle shows that an apparently plausible scenario is logically impossible. Specifically, it describes a barber who is defined such that he both shaves himself and does not shave himself, which implies that no barber exists. 理髮師悖論（Barber paradox）是羅素用来比喻羅素悖論的一个通俗说法，是由伯特蘭·羅素在1901年提出的。羅素悖論的出現是由於樸素集合論對於集合的不加限制的定義。由於當時集合論已成為數學理論的基礎，這一悖論的出現直接導致了一场數學危機，也引發了眾多的數學家對這一問題的補救，最終形成了現在的公理化集合論。同時，羅素悖論的出現促使數學家認識到將數學基礎公理化的必要性。 床屋のパラドックス（とこやのパラドックス）は、数理論理学と集合論における重要なパラドックスである。 이발사의 역설(barber paradox, 바버 파라독스)은 러셀의 역설에서 비롯된 퍼즐의 하나이다. 버트런드 러셀 자신이 역설을 묘사하기 위해 직접 사용하였으나 그는 이 역설의 공을 해당 역설을 제안한 무명의 사람에게로 돌렸다. 명백히 그럴듯한 시나리오가 논리적으로 불가능하다는 것을 보여준다. Das Barbier-Paradoxon oder die Antinomie des Barbiers ist in der Logik und der Mengenlehre eine anschauliche Variante der Russell’schen Antinomie, die 1918 von Bertrand Russell selbst aufgestellt wurde. Парадокс голяра (парадокс цирульника) — відомий логічний парадокс, який полягає у неможливості існування голяра, який голить тих і лише тих, хто не голиться сам.
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理髮師悖論（Barber paradox）是羅素用来比喻羅素悖論的一个通俗说法，是由伯特蘭·羅素在1901年提出的。羅素悖論的出現是由於樸素集合論對於集合的不加限制的定義。由於當時集合論已成為數學理論的基礎，這一悖論的出現直接導致了一场數學危機，也引發了眾多的數學家對這一問題的補救，最終形成了現在的公理化集合論。同時，羅素悖論的出現促使數學家認識到將數學基礎公理化的必要性。 Le paradoxe du barbier est une illustration à but didactique du paradoxe de Russell, attribuée à Bertrand Russell.Il ne faut donc pas donner une importance excessive à ce « paradoxe ». Par exemple, le logicien Evert Willem Beth qualifie ce paradoxe d'« antinomie prétendue » ou de « pseudo-antinomie ». 床屋のパラドックス（とこやのパラドックス）は、数理論理学と集合論における重要なパラドックスである。 مفارقة الحلاق هي تساؤل منطقي للفيلسوف البريطاني برتراند راسل، طرحه ضمن نظريته المتعلقة بالمجموعات الرياضية. Das Barbier-Paradoxon oder die Antinomie des Barbiers ist in der Logik und der Mengenlehre eine anschauliche Variante der Russell’schen Antinomie, die 1918 von Bertrand Russell selbst aufgestellt wurde. The barber paradox is a puzzle derived from Russell's paradox. It was used by Bertrand Russell as an illustration of the paradox, though he attributes it to an unnamed person who suggested it to him. The puzzle shows that an apparently plausible scenario is logically impossible. Specifically, it describes a barber who is defined such that he both shaves himself and does not shave himself, which implies that no barber exists. Il paradosso del barbiere è un'antinomia formulata dal filosofo e logico Bertrand Russell per illustrare la sua famosa antinomia riguardo alla teoria degli insiemi. Russell ne attribuì l'invenzione ad una persona che glielo avrebbe suggerito, senza però specificarne il nome. L'antinomia può essere enunciata così: O Paradoxo do barbeiro é um quebra-cabeças derivado do Paradoxo de Russell. Foi usado pelo próprio Bertrand Russell como uma ilustração de paradoxo, embora ele atribua a uma pessoa não identificada quem sugeriu a ele. O paradoxo demonstra que um cenário aparentemente plausível é logicamente impossível. 이발사의 역설(barber paradox, 바버 파라독스)은 러셀의 역설에서 비롯된 퍼즐의 하나이다. 버트런드 러셀 자신이 역설을 묘사하기 위해 직접 사용하였으나 그는 이 역설의 공을 해당 역설을 제안한 무명의 사람에게로 돌렸다. 명백히 그럴듯한 시나리오가 논리적으로 불가능하다는 것을 보여준다. Парадокс голяра (парадокс цирульника) — відомий логічний парадокс, який полягає у неможливості існування голяра, який голить тих і лише тих, хто не голиться сам.
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