in reply to Re: 1. Go compare! Guardian's algortithm riddle and mathematical proof
in thread 1. Go compare! Guardian's algortithm riddle and mathematical proof

> Update: I had expected more information from following the link

Behind the link is another link to the "solution", with another comment section. With various so called proofs, which I didn't find understandable or convincing.

Ignore the comments about "less vs fewer"

Except the one saying there should be a special hell for people nagging about grammar in a math blog.

> Waiting for lanx's proof

Please remind me next weekend. :)

Cheers Rolf
(addicted to the Perl Programming Language :)
see Wikisyntax for the Monastery

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Re^3: 1. Go compare! Guardian's algortithm riddle and mathematical proof
by tybalt89 (Monsignor) on Jun 08, 2025 at 19:03 UTC

    For those involved with computers, just remember:

    "less" is analog,
    "fewer" is digital.

      Oh thanks! ...export PAGER="fewer" :D

      L*

      There are no rules, there are no thumbs..
      Reinvent the wheel, then learn The Wheel; may be one day you reinvent one of THE WHEELS.
        Congrats, you and pryrt found a graceful way out of the "special hell" sub thread ... ;-)

        Cheers Rolf
        (addicted to the Perl Programming Language :)
        see Wikisyntax for the Monastery

      That's the way I used to think of it, despite the fact that it doesn't hold up in a plethora of real life, real English situations. And since you specifically invoked "For those involved with computers", my first exception will be an example familiar to any Monk here:

      In Perl, $a < $b would be said "scalar a is less than scalar b", despite the fact that, whether the scalar is an IV or NV or Math::BigRat, scalars a and b are always digital.

      In mathematics, a < b is said "a is less than b", whether "a,b ∈ ℝ" (a and b are elements of the set of real numbers: analog) or "a,b ∈ ℤ" (a and b are elements of the set of integers: digital)

      In science, light comes in discrete (digital) packets called photons, but "there is less light in the dark cave then outside in the bright sunshine".

      "The count of the fingers I am holding up on my right hand (2) is less than the count of the fingers I am holding up on my left hand (4)", despite the fact that my fingers are quite obviously digital. (Sorry, I had to make that pun.) (I was going to originally use "quantity" rather than "count" in that example, but "quantity" isn't as restricted to digital as "count" is, so I switched to "count" to emphasize the digital nature of the values involved.)

      As far as I can think of, "fewer" is only used for digital items (though I'd love to learn exceptions in that direction, too, to annoy the pedants), but "less" isn't as restricted to analog as some people claim.

      There are many places where I think "less" sounds better to my ears than "fewer", but phrases like "10 items or less" doesn't bother me anymore, because there are too many exceptions for the rule ''"less" is always analog'' to carry the weight that I used to think it did.

      "less" is analog, "fewer" is digital.

      The problem is that many people — I mean sophomoric pedants — believe many quantities are discrete when in fact they are continuous. Take age, for example. A pedant might insist that "Bobby is less than ten years old" is incorrect, and must be phrased as "Bobby is fewer than ten years old". But a person's age is not really an integer number of years, it is a float amount of time. :-) "Ten years old" is a watermark; if one has not yet reached that watermark in age, then they are less than that. You see people making this ridiculous "correction" all the time.

        Bobby is younger than 10 years old. Problem solved!

        Update: Unless of course he is Little Bobby Tables in which case your problems are only just beginning.


        🦛

        In conventional US/UK/Colony (I'm not qualified to assert any wider than this) usage age in years is integer down to about 5 years. Below that at some point age in years becomes fractional or is given in months down to about 8 months. Below that at some point ...

        As a general thing I am irked by the misapplication of less/fewer, but in the case of age I'd generally treat years as integer.

        Oh, and age is not float because there are ages that can't be represented by floats, or doubles for that matter, or any any way at all without invoking unbounded numbers.

        Optimising for fewest key strokes only makes sense transmitting to Pluto or beyond
        Just found one in the wild:
        the bodies that make up [the Oort Cloud] are small — fewer than 60 miles (97 kilometers) in diameter

        It should be very obvious why this is wrong: the diameter of an object is not a discrete (integer) number of miles/km — stupid English conventions notwithstanding.

        (And don't get me started on the conversion of 60 miles to 97 km.)

        Today's latest and greatest software contains tomorrow's zero day exploits.
Re^3: 1. Go compare! Guardian's algortithm riddle and mathematical proof (Waiting?)
by LanX (Saint) on Jun 10, 2025 at 11:10 UTC
    Hey

    > > Waiting for lanx's proof

    > Please remind me next weekend. :)

    I got messages asking me when I'm posting the proof.

    I wanted everybody interested to have a chance to see the task and attempt to find a(nother) proof.

    Please /msg [lanx] if you want me to wait till the weekend. Otherwise I'll post it tomorrow.

    Cheers Rolf
    (addicted to the Perl Programming Language :)
    see Wikisyntax for the Monastery