ЁЯдЦ This example from the Google AI blog has been bothering me for ages. It canтАЩt possibly be right. The density of living tissue is always nearly 1, and pears feel heavier in the hand than most fruit.

So today I resolved to ┬бSCIENCE IT! and bought a pear and can report that this one, at least, sinks in water. (Just barely. Its density must be a hair over 1.)

Camera angle isnтАЩt great, but best I could doтАФitтАЩs looking through the side of a glass bowl, beneath the surface level.
So whatтАЩs going on here? I took the Google AI blog as saying that the answer was generated by one of their AI systems, and thatтАЩs been the assumption of other analyses on the internet, but they donтАЩt actually say that! ItтАЩs just an example problem. https://t.co/RCdv5KF6NH
The problem comes from the StrategyQA benchmark, which I downloaded. Here it is!

The answer according to the benchmark includes a density claim of 0.59.

The plot thickensтАж
Oh, they crowdsourced the data set from Mechanical Turk (a platform which pays random people in poor countries a few cents to do mindless tasks as quickly as possible). They were supposed to use only Wikipedia to generate Q/A pairs. But it doesnтАЩt give pear density, so тАж
The first hit in my web search for тАЬdensity of a pearтАЭ explains that *sliced* pears have a density of 0.59, which presumably is where the Mechanical Turk worker got it.

(No idea where this came from; someone weighted a package of sliced pairs that was mostly air I suppose.)
So where did the (wrong) answer in the Google AI blog come from? They *donтАЩt* say it was produced by an AI. Maybe itтАЩs just an illustrative example, and a human turned the StrategyQA json data into cleaner text, rounding 0.59 to 0.6.

(If you are at Google AI, IтАЩd like to know!)
I canтАЩt find any statement that the density of pears is 0.6 on the web, other than downstream from this тАЬchain of thoughtтАЭ AI experiment. But, if the answer *was* AI-generated, maybe it came from its larger-than-Google text database, or maybe it knows how to round!
And, hmm, not in the C4 dataset either, which is a biggish chunk of what language models get trained on.
Anyway, before I got distracted by ┬бSCIENCE!: if that answer *was* generated by software, how close is it to something in the training data?

If it includes e.g. тАЬThe density of a pea is about 0.9 g/cm^3, which is less than water. Thus, a pea would floatтАЭ, IтАЩd be unimpressed
ThereтАЩs many similar explanations on the web. How different is the closest to the maybe-AI-generated answer? I havenтАЩt located one very close (but I donтАЩt have access to the full training set, and we donтАЩt have good tools for this sort of analysis).
If the answers in the Google write-ups were just illustrative examples written by a human, it would be good for the team to clarify that. I am not the only one who was wowed by them, believing them to have been machine-generated.
Here is GPT-3: тАЬPears are less dense than water, so they would float.тАЭ
Interestingly, this answer is found virtually verbatim on the web in lots of places, except with apples! ItтАЩs a really easy answer to generate, which is making me think some more that the 0.6 gm/cm^3 answer was written by a human, based on the human-generated StrategyQA answer.
Meanwhile, thereтАЩs tons of things on the web that say that pears sink.
ЁЯНР This isnтАЩt a big deal and I have spent way too much time on it. However, I can report that the pear was delicious, so it wasnтАЩt a complete waste!
OK, reading the actual paper (rather than the blog post) carefully makes it fairly clear that this answer *was* written manually, as an example for zero-shot learning. I sent myself off on a wild pear chase, apparently! https://t.co/ERYmqWyQN8

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