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    Cover of The nothing that is

    The nothing that is

    Kaplan, Robert, Robert Kaplan, Ellen Kaplan · 1999

    Without zero, mathematics as we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? And what, exactly, does it mean? For Kaplan, the history of zero is a lens for looking not only into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. The beauty of mathematics is that even though we invent it, we seem to be discovering something that already exists. The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture.--From publisher description.

    Mathematics
    Open LibraryAmazon
    Stats for nerds
    4recommend
    5mentions
    5people
    2008–2026years
    80% recommend20% neutral

    Mentions per year

    2008201020122014201620182020202220242026

    What Hacker News says

    1. throw0101aApr 2026
      > Is it though? All languages have the word 'nothing'.

      The interpretation of the concept that been different over time. See perhaps The Nothing That Is: A Natural History of Zero by Kaplan:

      * https://www.goodreads.com/book/show/3188988

      thread
    2. daxelrodDec 2016
      Zero: The Biography of a Dangerous Idea by Charles Seife is one of the most engaging books I've read about mathematics. In its Amazon reviews, I also see The Nothing That Is: A Natural History of Zero by Robert Kaplan recommended.
      thread
    3. jerryrDec 2012
      I enjoyed these books on the history of that question:

      Charles Seife's "Zero: The Biography of a Dangerous Idea" (http://www.amazon.com/Zero-Biography-Dangerous-Idea-ebook/dp...)

      Robert Kaplan's "The Nothing That Is: A Natural History of Zero" (http://www.amazon.com/Nothing-that-Natural-History-ebook/dp/...)

      thread
    4. pjacksonJul 2008
      I recently read Simple Heuristics That Make Us Smart by Gerd Gigerenzer, Peter M. Todd, and the ABC Research Group and The Nothing That Is: A Natural History Of Zero by Robert Kaplan.

      Both were great reads and left me energized. Neither had much to do with technology or startups. But I felt more prepared and motivated to solve problems after I read them.

      thread
    5. ebb_earl_coAug 2026
      It's a remarkable coincidence that I'm reading the book The Nothing that Is: A Natural History of Zero by Robert Kaplan, and this passage on page 96 seems precisely relevant to this situation:

      """A Roman idiosyncrasy about counting reinforced this avoidance. The 360 degrees of longitude, for example, were always measured from the vernal equinox, which lies in the zodiacal sign of Aries. This should be zero degrees, 0°. It was common, however, to call it instead 'the first degree', Aries 1°, as Pliny did around 60 AD, upsetting his calculations and those of many who followed him. It amounts to this: if you lay out four marks on the ground and step from the first to the last, have you taken three paces or four? Clearly three; yet four marks were involved. To get the right answer it helps to call the starting-line 'zero'; then the number at the mark you step on will correspond to the number of your steps. But the Romans counted so that three days after Sunday was Tuesday; the Italian for the fifteenth century is the quattrocento — and all of us still call the two steps in music from C to E a major third, taking the number from the three tones involved."""

      I wouldn't say that the set that has one element, labeled 0, _has_ zero elements; it has one element with the label 0. Right?

      thread

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