Sunday, 14 February 2016

How funny is this word? The 'snunkoople' effect

Credit: © flytoskyft11 / Fotolia
 
How do you quantify something as complex and personal as humour? University of Alberta researchers have developed a mathematical method of doing just that -- and it might not be quite as personal as we think.
 
"This really is the first paper that's ever had a quantifiable theory of humour," says U of A psychology professor Chris Westbury, lead author of the recent study. "There's quite a small amount of experimental work that's been done on humour."
"We think that humour is personal, but evolutionary psychologists have talked about humour as being a message-sending device."
The idea for the study was born from earlier research in which test subjects with aphasia were asked to review letter strings and determine whether they were real words or not. Westbury began to notice a trend: participants would laugh when they heard some of the made-up non-words, like snunkoople.
It raised the question -- how can a made-up word be inherently funny?
The snunkoople effect
Westbury hypothesized that the answer lay in the word's entropy -- a mathematical measure of how ordered or predictable it is. Non-words like finglam, with uncommon letter combinations, are lower in entropy than other non-words like clester, which have more probable combinations of letters and therefore higher entropy.
"We did show, for example, that Dr. Seuss -- who makes funny non-words -- made non-words that were predictably lower in entropy. He was intuitively making lower-entropy words when he was making his non-words," says Westbury. "It essentially comes down to the probability of the individual letters. So if you look at a Seuss word like yuzz-a-ma-tuzz and calculate its entropy, you would find it is a low-entropy word because it has improbable letters like Z."
Inspired by the reactions to snunkoople, Westbury set out to determine whether it was possible to predict what words people would find funny, using entropy as a yardstick.
"Humour is not one thing. Once you start thinking about it in terms of probability, then you start to understand how we find so many different things funny."
For the first part of the study, test subjects were asked to compare two non-words and select the option they considered to be more humorous. In the second part, they were shown a single non-word and rated how humorous they found it on a scale from 1 to 100.
"The results show that the bigger the difference in the entropy between the two words, the more likely the subjects were to choose the way we expected them to," says Westbury, noting that the most accurate subject chose correctly 92 per cent of the time. "To be able to predict with that level of accuracy is amazing. You hardly ever get that in psychology, where you get to predict what someone will choose 92 per cent of the time."
People are funny that way
This nearly universal response says a lot about the nature of humour and its role in human evolution. Westbury refers to a well-known 1929 linguistics study by Wolfgang Köhler in which test subjects were presented with two shapes, one spiky and one round, and were asked to identify which was a baluba and which was a takete. Almost all the respondents intuited that takete was the spiky object, suggesting a common mapping between speech sounds and the visual shape of objects.
The reasons for this may be evolutionary. "We think that humour is personal, but evolutionary psychologists have talked about humour as being a message-sending device. So if you laugh, you let someone else know that something is not dangerous," says Westbury.
He uses the example of a person at home believing they see an intruder in their backyard. This person might then laugh when they discover the intruder is simply a cat instead of a cat burglar. "If you laugh, you're sending a message to whomever's around that you thought you saw something dangerous, but it turns out it wasn't dangerous after all. It's adaptive."
Just as expected (or not)
The idea of entropy as a predictor of humour aligns with a 19th-century theory from the German philosopher Arthur Schopenhauer, who proposed that humour is a result of an expectation violation, as opposed to a previously held theory that humour is based simply on improbability. When it comes to humour, expectations can be violated in various ways.
In non-words, expectations are phonological (we expect them to be pronounced a certain way), whereas in puns, the expectations are semantic. "One reason puns are funny is that they violate our expectation that a word has one meaning," says Westbury. Consider the following joke: Why did the golfer wear two sets of pants? Because he got a hole in one. "When you hear the golfer joke, you laugh because you've done something unexpected -- you expect the phrase 'hole in one' to mean something different, and that expectation has been violated."
The study may not be about to change the game for stand-up comedians -- after all, a silly word is hardly the pinnacle of comedy -- but the findings may be useful in commercial applications such as in product naming.
"I would be interested in looking at the relationship between product names and the seriousness of the product," notes Westbury. "For example, people might be averse to buying a funny-named medication for a serious illness -- or it could go the other way around."
Finding a measurable way to predict humour is just the tip of the proverbial iceberg. "One of the things the paper says about humour is that humour is not one thing. Once you start thinking about it in terms of probability, then you start to understand how we find so many different things funny. And the many ways in which things can be funny."

Source:
University of Alberta. "How funny is this word? The 'snunkoople' effect." ScienceDaily. ScienceDaily, 30 November 2015. <www.sciencedaily.com/releases/2015/11/151130131847.htm>.

Quantum physics problem proved unsolvable (Gödel and Turing enter quantum physics)

Source: Planet-science.com
 
A mathematical problem underlying fundamental questions in particle and quantum physics is provably unsolvable, according to scientists at UCL, Universidad Complutense de Madrid -- ICMAT and Technical University of Munich.
 
It is the first major problem in physics for which such a fundamental limitation could be proven. The findings are important because they show that even a perfect and complete description of the microscopic properties of a material is not enough to predict its macroscopic behaviour.
A small spectral gap -- the energy needed to transfer an electron from a low-energy state to an excited state -- is the central property of semiconductors. In a similar way, the spectral gap plays an important role for many other materials. When this energy becomes very small, i.e. the spectral gap closes, it becomes possible for the material to transition to a completely different state. An example of this is when a material becomes superconducting.
Mathematically extrapolating from a microscopic description of a material to the bulk solid is considered one of the key tools in the search for materials exhibiting superconductivity at ambient temperatures or other desirable properties. A study, published today in Nature, however, shows crucial limits to this approach. Using sophisticated mathematics, the authors proved that, even with a complete microscopic description of a quantum material, determining whether it has a spectral gap is, in fact, an undecidable question.
"Alan Turing is famous for his role in cracking the Enigma code," said Co-author, Dr Toby Cubitt from UCL Computer Science. "But amongst mathematicians and computer scientists, he is even more famous for proving that certain mathematical questions are `undecidable' -- they are neither true nor false, but are beyond the reach of mathematics. What we've shown is that the spectral gap is one of these undecidable problems. This means a general method to determine whether matter described by quantum mechanics has a spectral gap, or not, cannot exist. Which limits the extent to which we can predict the behaviour of quantum materials, and potentially even fundamental particle physics."
One million dollars to win!
The most famous problem concerning spectral gaps is whether the theory governing the fundamental particles of matter itself -- the standard model of particle physics -- has a spectral gap (the `Yang-Mills mass gap' conjecture). Particle physics experiments such as CERN and numerical calculations on supercomputers suggest that there is a spectral gap. Although there is a $1m prize at stake from the Clay Mathematics Institute for whoever can, no one has yet succeeded in proving this mathematically from the equations of the standard model.
Dr Cubitt added, "It's possible for particular cases of a problem to be solvable even when the general problem is undecidable, so someone may yet win the coveted $1m prize. But our results do raise the prospect that some of these big open problems in theoretical physics could be provably unsolvable."
"We knew about the possibility of problems that are undecidable in principle since the works of Turing and Gödel in the 1930s," added Co-author Professor Michael Wolf from Technical University of Munich. "So far, however, this only concerned the very abstract corners of theoretical computer science and mathematical logic. No one had seriously contemplated this as a possibility right in the heart of theoretical physics before. But our results change this picture. From a more philosophical perspective, they also challenge the reductionists' point of view, as the insurmountable difficulty lies precisely in the derivation of macroscopic properties from a microscopic description."
Not all bad news
Co-author, Professor David Pérez-García from Universidad Complutense de Madrid and ICMAT, said: "It's not all bad news, though. The reason this problem is impossible to solve in general is because models at this level exhibit extremely bizarre behaviour that essentially defeats any attempt to analyse them. But this bizarre behaviour also predicts some new and very weird physics that hasn't been seen before. For example, our results show that adding even a single particle to a lump of matter, however large, could in principle dramatically change its properties. New physics like this is often later exploited in technology."
The researchers are now seeing whether their findings extend beyond the artificial mathematical models produced by their calculations to more realistic quantum materials that could be realised in the laboratory.

Source:
University College London. "Quantum physics problem proved unsolvable: Gödel and Turing enter quantum physics." ScienceDaily. ScienceDaily, 9 December 2015. <www.sciencedaily.com/releases/2015/12/151209142727.htm>.

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