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    • Foundations of Measurement

      • 1st Edition
      • June 28, 2014
      • R Duncan Luce
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 4 4 1 7
      • eBook
        9 7 8 1 4 8 3 2 9 5 0 4 6
      From the Foreword is infinite in multitude; and I mean by the sand not only that which exists about Syracuse and the rest of Sicily but also that which is found in every region whether inhabited or unhabited. Again there are some who, without regarding it as infinite, yet think that no number has been named which is great enough to exceed its multitude. And it is clear that they who hold this view, if they imagined a mass made up of sand in other respects as large as the mass of the earth, including in it all the seas and the hollows of the earth filled up to a height equal to that of the highest mountains, would be many times further still from recognizing that any number could be expressed which exceeded the multitude of the sand so taken. But I will try to show you by means of geometrical proofs, which you will be able to follow, that, of the numbers named by me and given in the work which I sent to Zeuxippus, some exceed not only the number of the mass of sand equal in magnitude to the earth filled up in the way described, but also that of a mass equal in magnitude to the universe.:

    • Foundations of Measurement

      • 1st Edition
      • June 28, 2014
      • Patrick Suppes
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 4 4 2 4
      • eBook
        9 7 8 1 4 8 3 2 9 5 0 3 9
      Foundations of Measurement offers the most coherently organized treatment of the topics and issues central to measurement. Much of the research involved has been scattered over several decades and a multitude of journals--available in many instances only to specialties. With the publication of Volumes two and three of this important work, Foundations of Measurement is the most comprehensive presentation in the area of measurement.