Slashdot Mirror


Bees Can Solve Math Problems With Addition and Subtraction

According to a new study published in the journal Science Advances, researchers from Australia and France have shown that bees can perform simple arithmetic, adding and subtracting small numbers by studying color-coded shapes. CNET reports: To test the buzzers' ability to perform arithmetic, the team used a three-chambered maze shaped like a Y, training bees to enter through a hole into a small chamber where they would see their first stimulus: blue or yellow shapes on a plain, grey background. The number of shapes varied between 1 and 5 and the color of the shapes told the bee whether it needed to add one (blue) or subtract one (yellow) from the initial number. The bee then flew into a subsequent chamber which presented both a correct option and an incorrect option. To train the bees, the correct option rewarded the critters with a drop of tasty sugar solution -- a delightful dessert for the bee. On the other hand, selecting the incorrect solution resulted in a nasty drop of quinine -- like a slab of Brussels sprouts slathered in chocolate.

The testing procedure itself focused on 14 bees undergoing four tests of 10 choices. The tests themselves were "non-reinforced," so they didn't receive reward or punishment when selecting their "answers" during testing. Because the bees were subjected to two answers each time, the expectation is that -- purely by chance -- they would select the correct answer 50 percent of the time. But the bees performed significantly better than chance would predict, selecting the correct answer around 65 percent of the time.

15 of 72 comments (clear)

  1. math not needed by phayes · · Score: 3, Insightful

    Memorization of the correct and incorrect answers is all that is needed for the described (too small of a sample size to be considered an) "experiment".

    How far /. has fallen...

    --
    Democracy is a sheep and two wolves deciding what to have for lunch. Freedom is a well armed sheep contesting the issue
    1. Re:math not needed by umafuckit · · Score: 4, Informative

      Memorization of the correct and incorrect answers is all that is needed for the described (too small of a sample size to be considered an) "experiment".

      How far /. has fallen...

      It is true that memorisation could explain this. You point about the sample size is trickier, though. Firstly there is no magic number that constitutes a large (vs small) sample size. What is suitable depends on the size of the effect, the variance, and the degree to which you want to generalise the results to a wider population. This is often balanced against what is possible. In biology a lot of experiments have a small sample size because of the cost or difficulty in gathering the data. For instance, I just reviewed a paper where the authors have gathered data from just a single subject. However, they gather a vast amount and do a very thorough job. Their work still stands as it is (it's in a sense a methods paper) and given that they aren't targetting a big name journal or over-selling their results I'm going to let the n=1 slide.

      In the particular case of this paper, what I find most annoying isn't the n=14 but that their graphs hide the underlying data by displaying them as just bars with a 95% confidence interval for the mean. I would also agree, however, that I don't see why in this case they couldn't have produced a larger sample size. That's not the main issue, IMHO, however.

    2. Re:math not needed by umafuckit · · Score: 3, Informative

      This isn't like they are studying the remaining living WWII veterans or Japanese anorexics. They should be able to find some extra BEES to run the tests on. Presumably they have access to a hive, at a minimum.

      I agree a larger n would be nice (say, n=30 at least) and I *think* it's likely not too hard to obtain in this case. I would caution, however, that sometimes it's a lot harder than it looks to obtain these data. It could be that n=14 is hard to do.

      I used to work in insect neuroscience and I collaborated with people who did experiments of the general sort described in the paper. The issue was of course not finding insects -- we had lots of insects -- the problem we had was that running the experiments was very time consuming and could often fail for unclear reasons. You may get drift in behavioral scores over time, batches of insects that produce suspect results, etc. All sorts of really weird stuff happens with animal behavior and so to get solid results you believe in might require throwing out most of your data (e.g. because variance was weirdly high on some days). After all is said and done your sample size isn't always what you hope for. I've seen really good people work for years and still end up with sample size of less than 10 animals.

    3. Re:math not needed by phayes · · Score: 2

      I agree that the small sample size is no proof of any malign intent, however, the tiny sample size with no explanation of why the sample size is so small, the use of graphics instead of presenting the raw data and the fact that they never appear to have considered memory being sufficient to explain the results without any claims that "bees can add/subtract" are all worrying signs that the study is worthless.

      --
      Democracy is a sheep and two wolves deciding what to have for lunch. Freedom is a well armed sheep contesting the issue
  2. Imagine a Beeowulf Cluster of these! by jddj · · Score: 2

    Damn, I gotta get some bees!

  3. Re:Did they try this with people? by omnichad · · Score: 3, Interesting

    Exactly. How do we know there's no pheromones at play after multiple runs through the puzzle? Or some ability to smell the sugar. Or any of a number of confounding factors.

  4. Re:So can a calculator by omnichad · · Score: 4, Funny

    Imagine a Beewulf.... I'll just see myself out now.

  5. Re:Bees can either subtract or smell by omnichad · · Score: 2

    Yeah. Should have seen the results of putting the sugar and quinine in opposite spots on the last test just to control for this. If they follow the cues, thru did math. If they follow the smells, then this study is worthless.

  6. Re:Did they try this with people? by jellomizer · · Score: 2

    Addition and subtraction is often rather instinctual. What makes it difficult, is when we symbolize the numbers in an abstract base, and use symbolic representations of addition and subtraction.
    so
    1 = *
    2 = **
    So if we say put * and ** together we get *** no problem. However saying 1 + 2 = 3 requires higher brain power. Because the symbolic numbers is more abstract and doesn't always mean the same thing.
    so
    1 = A^
    2 = #$
    So if we put A and #$ together we get possible combinations of A#$, #A$, #$A, A$#, $A#, $#A but we still have 3 characters. However a character is more abstract then just a * it is just the same thing, and we know instinctively what would happen if we add or subtract the same thing.

    --
    If something is so important that you feel the need to post it on the internet... It probably isn't that important.
  7. Re:What a load of by jellomizer · · Score: 2

    I also expect the inverse too. We humans are not as smart as we think we are also.

    A lot of our actions and responses is more instinctive then intellectual. Political/Religious/Sports Teams/Text Editors/Cell Phones leaning is less about an intellectual response to the policies,rules and teachings. But the instinctive need to be part of group, and be protective of such group.

    An Evangelical and an Atheist (Both English Speaking Americans) will normally be diametrically opposed to each other. However we take these same people and put them somewhere where they are surrounded by Non English speaking foreigners who are neither Evangelical or Athiest, they will probably be rather close friends for a while, as they will classify themselves as English Speaking Americans first and their Religion secondly, and stick together for a while. This is instinctive not intellectual.

    Or back in my elementary school days. K-4 were separated by 6 schools, 5th and 6th grade was combined into one school. For the first couple of weeks I befriended some kids, who I never got along with and didn't really like in K-4 for the sole reason that they were in my K-4 and I knew who they were. Only to make new friends/allegiances later.

    There are a wealth of other behaviors that are instinctual which seem like intellectual activities, from diet, sexual activity, grooming needs....

    --
    If something is so important that you feel the need to post it on the internet... It probably isn't that important.
  8. Re:Did they try this with people? by BringsApples · · Score: 2

    If I throw you an apple, and you reach out and catch it, we'll all be extremely unimpressed. And yet, if someone sitting there watching, pulled out paper and pensil and started writing out the formulas that we each just unconsciously used to do all of the physical activity that we did while tossing and catching an apple, it'd look quite complex.

    For whatever reason, mathematics is universal, built-in to everything within the universe. Each species has it's own method of going about life. It's literally impossible for any species to go about life without acting in some mathematical way.

    That we are able to detect that the bees are doing math, means that we've only caught onto a way that they do it, that we can recognize. Who's to say that they're not preforming mathematics at levels that we're unable to detect?

    --
    Politics; n. : A religion whereby man is god.
  9. Re:Did they try this with people? by Potor · · Score: 2, Insightful

    I am so stealing (and modifying) your example for my philosophy of science classes.

    It is one thing to say that bees interact with the world mathematically, and another to say that they understand math.

    I don't see how science can make the jump from the former to the latter in a way warranted by measurement.

  10. This isn't Pavlovian conditioning. by denzacar · · Score: 2, Interesting

    Unless you're talking about the "scientists" who've breezed through all those years of school and training without ever picking up on the basics of statistics and probability.
    On account of just repeating the correct answers they memorized earlier.

    Basically, you could "train" a group of 14 coins to do the same task.
    https://en.wikipedia.org/wiki/...

    Although, to be fair, they did fuck up on the Pavlovian conditioning as well.
    In half of the experiments, "correct answer" was always going straight from the point of entry, not changing the direction.
    To make sure bees actually "made choices" - both addition and subtraction were tested for.
    Addition choices were blue, while subtraction choices were yellow.

    "Amazingly", bees were not only "getting it right" more often if the answer is just "fly straight ahead".
    When subtracting, they were "getting it right" more often when the answer demanded flying away from the wrong answer.
    Clearly, bees are doing math, right?

    Except, experimenters rigged the game.
    For addition, "correct answers could be 2, 3, and 5 and the incorrect answers could be 1, 2, 3, 4, and 5".
    While for subtraction, "correct answers could be 1, 3, and 4 and the incorrect answers could be 1, 2, 3, 4, and 5".

    I.e. When "adding" bees were trained to just go straight if the color is blue, and for 2 out of 5 "answers" that would be the correct answer.
    When "subtracting", flying AWAY from the presented option would be the correct answer in 2 out 5 "answers".

    Leaving 3 "answers" where the bee would have a 50:50 chance of getting it right.
    I.e. 2 answers the bees were conditioned for + 1.5 answers where they'd get it right 50% of the time = getting 3.5 out of 5 answers correctly, or 70%.

    I.e. By color conditioning and random choice alone, bees should be getting it correctly more often than most of their measurements show.
    Though right smack in the middle of their error bars when accounted for the color conditioning training.
    72.1 +/- 3.20% for addition and 67.9 +/- 3.66% for subtraction.

    In each of the four tests, the bees performed at a level that was significantly different from chance.
    In the addition (same direction) test, the bees chose the correct option of 4 in 72.1 +/- 3.20% (mean +/- SEM) of choices (z = 5.05, P < 0.001; Fig. 2B).
    In the other addition (opposite direction) test, the bees chose the correct option of 4 in 66.4 +/- 2.69% of choices (z = 3.81, P < 0.001; Fig. 2B).
    In the subtraction (same direction) test, the bees chose the correct option of 2 in 63.6 +/- 2.89% of choices (z = 3.17, P = 0.002; Fig. 2B).
    In the other subtraction (opposite direction) test, the bees chose the correct option of 2 in 67.9 +/- 3.66% of choices (z = 4.13, P < 0.001; Fig. 2B).
    There was no significant difference between the performance of the bees in any of the four tests (z = -0.887, P = 0.375), demonstrating that the bees performed equally well on all tests.

    They've "discovered" that bees can tell colors and tastes.

    --
    Mit der Dummheit kämpfen Götter selbst vergebens
  11. Bee Gees, before coffee by Tablizer · · Score: 2

    I misread it as "Bee Gees", and a tune started playing in my head: "Ah, Ah, Ah, counting to five, counting to five..."

  12. Re:Did they try this with people? by Dragonslicer · · Score: 2

    Except that as the summary says, it wasn't merely counting items. It also involved translating color into an arithmetic operation, so there was a symbolic representation of addition and subtraction. I can't speak to the rest of the experiment's design, but if the results are valid, it would seem that the bees do have some amount of understanding of the abstract concepts.