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posted by martyb on Tuesday February 14 2017, @06:46PM   Printer-friendly
from the GEB' dept.

Margaret Wertheim's wide-ranging essay on mathematics, "There’s more maths in slugs and corals than we can think of" covers how mathematics is implemented by humans, animals, or natural processes. It is clever and thought-provoking. Quite long, but well worth the read. Among other topics, the author touches on music, Fourier transforms, tiling, and coral reefs.

What does it mean to know mathematics? Since maths is something we teach using textbooks that demand years of training to decipher, you might think the sine qua non is intelligence – usually 'higher' levels of whatever we imagine that to be. At the very least, you might assume that knowing mathematics requires an ability to work with symbols and signs. But here's a conundrum suggesting that this line of reasoning might not be wholly adequate. Living in tropical coral reefs are species of sea slugs known as nudibranchs, adorned with flanges embodying hyperbolic geometry, an alternative to the Euclidean geometry that we learn about in school, and a form that, over hundreds of years, many great mathematical minds tried to prove impossible.

[...] The world is full of mundane, meek, unconscious things materially embodying fiendishly complex pieces of mathematics. How can we make sense of this? I'd like to propose that sea slugs and electrons, and many other modest natural systems, are engaged in what we might call the performance of mathematics. Rather than thinking about maths, they are doing it. In the fibres of their beings and the ongoing continuity of their growth and existence they enact mathematical relationships and become mathematicians-by-practice. By looking at nature this way, we are led into a consideration of mathematics itself not through the lens of its representational power but instead as a kind of transaction. Rather than being a remote abstraction, mathematics can be conceived of as something more like music or dancing; an activity that takes place not so much in the writing down as in the playing out.


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  • (Score: 2, Interesting) by Oakenshield on Tuesday February 14 2017, @08:13PM

    by Oakenshield (4900) on Tuesday February 14 2017, @08:13PM (#467085)

    But the absence of an s in American English, is just a variance in abbreviation.

    I have been reading Bill Bryson's book, The Mother Tongue and it's amazing how screwed up the English language is. So much of English makes no sense, it just is. It's clear that we're just making it up as we go along.

    I recommend the book, it's a fascinating read.

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  • (Score: 2) by DannyB on Tuesday February 14 2017, @09:00PM

    by DannyB (5839) Subscriber Badge on Tuesday February 14 2017, @09:00PM (#467099) Journal

    fascinating: The act of attaching two objects together so they are permanently bonded.

    English isn't screwed up. It just wasn't planned by someone having good mathematical or logical skillz. It doesn't help that partial merges were done with vocabularies from other languages.

    --
    The lower I set my standards the more accomplishments I have.
    • (Score: 2, Interesting) by Oakenshield on Tuesday February 14 2017, @09:51PM

      by Oakenshield (4900) on Tuesday February 14 2017, @09:51PM (#467115)
      I'd say it's pretty screwed up. It's not just the influence of multiple vocabularies. We have grammar influence of multiple languages too. See John McWhorter's book, Our Magnificent Bastard Tongue for examples, including the Celtic "meaningless do." We have spellings that match arcane or obsolete pronunciations. Many of our oldest and more common words follow arcane Old English rule sets. Compared to a simple or regular language like Spanish, it's a nightmare. Those partial merges have birthed an unwieldy behemoth of spaghetti code.
      • (Score: 2) by NewNic on Tuesday February 14 2017, @11:57PM

        by NewNic (6420) on Tuesday February 14 2017, @11:57PM (#467166) Journal

        I think that some of those examples of the "meaningless do" are cases where the use of "did" adds clarity. It's not useless because the use of "did" makes it clear that it is a question, not a statement.

        --
        lib·er·tar·i·an·ism ˌlibərˈterēənizəm/ noun: Magical thinking that useful idiots mistake for serious political theory