• From a Ball Game to Incompleteness

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/reso/022/12/1205-1211

    • Keywords

       

      Finite tree, infinite tree, root, rooted tree, leaf, finitely generated tree, path in a tree, fan theorem, arithmetic, Konig’s lemma.

    • Abstract

       

      We present a ball game that can be continued as long as wewish. It looks as though the game would never end. But byapplying a result on trees, we show that the game nonethelessends in some finite number of moves. We then point out somedeep results on the natural number system connected withthe game.

    • Author Affiliations

       

      Arindama Singh1

      1. Department of Mathematics IIT Madras IT P.O., Chennai 600 036
    • Dates

       
  • Resonance – Journal of Science Education | News

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