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The basic laws of arithmetic; exposition of…
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The basic laws of arithmetic; exposition of the system

by Gottlob Frege

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Et forsøg på at opbygge aritmetikken på logik og mængdelære. "Hardly anything more unwelcome can befall a scientific writer than that one of the foundations of his edifice be shaken after the work is finished. I have been placed in this position by a letter of Mr. Bertrand Russell just as the printing of this [second] volume was nearing completion."
Russell puster til Freges korthus med spørgsmålet: Er mængden af mængder, der ikke er elementer i sig selv, et element i sig selv ? Spørgsmålet kan ikke besvares med ja eller nej, da begge dele giver anledning til modstrid. Freges notation, der må have givet hans typograf grå hår i hovedet, hjælper ham ikke på dette punkt ( )
  bnielsen | Aug 5, 2008 |
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