Spor o nekonečno
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The Union of czech mathematicians and physicists
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Článek pojednává o sporu dvou významných osobností – francouzského matematika, fyzika a filosofa Henriho Poincarého a německého matematika a logika Georga Cantora. Jejich spor se týkal teorie množin vytvořené Cantorem, zejména pak citlivé otázky nekonečna. Aktuální nekonečno, na kterém založil Cantor teorii množin, nemohl Poincaré, stejně jako další zástupci intuicionismu, uznat za přijatelné. Intuicionisté se totiž opírali výhradně o nekonečno potenciální. Článek uvozuje téma krátkým představením obou matematiků, na které navazuje stručným pohledem na vývoj chápání nekonečna. V další části je představena podstata sporu mezi Georgem Cantorem a intuicionisty, zastoupenými Henrim Poincarém.
The article deals with the dispute of two prominent personalities -- French mathematician, physicist and philosopher Henri Poincaré and German mathematician and logician Georg Cantor. Their dispute was related to set theory created by Cantor, especially the conception of infinity. The actual infinity on which Cantor based his set theory, Poincaré, as well as other representatives of intuitionism, could not accept. Intuitionists relied exclusively on potential infinity. The article introduces the topic by a short introduction of both mathematicians, followed by a brief look at the evolution of understanding infinity. In the next part, the essence of the dispute between Georg Cantor and the intuitionists, represented by Henri Poincaré, is presented.
The article deals with the dispute of two prominent personalities -- French mathematician, physicist and philosopher Henri Poincaré and German mathematician and logician Georg Cantor. Their dispute was related to set theory created by Cantor, especially the conception of infinity. The actual infinity on which Cantor based his set theory, Poincaré, as well as other representatives of intuitionism, could not accept. Intuitionists relied exclusively on potential infinity. The article introduces the topic by a short introduction of both mathematicians, followed by a brief look at the evolution of understanding infinity. In the next part, the essence of the dispute between Georg Cantor and the intuitionists, represented by Henri Poincaré, is presented.
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1210-9037