Measuring musical dissonance

An empirical approach

When we hear two musical notes played together (either in succession, or simultaneously), we often characterize those notes as “dissonant” or “consonant”. But instead of having a sharp dichotomy between dissonance and consonance, it might be more useful to speak of a spectrum between the two. Then, the question before us is how to quantify the dissonance of any pair of notes.

12tone is a cool music theory channel, and he recently published a video discussing the solution thought up by the 18th century mathematician Leonhard Euler. I include the video below, but be warned that I’m going to trash Euler’s answer. I believe that any measure of musical dissonance must, at some point, refer to empirical observations of dissonance. Euler’s answer relies on mathematical supposition, and thus I would deride it as numerology.

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Ethical review of academic hoaxes

I learned from PZ that Peter Boghossian is under ethical investigation for his “grievance studies” hoax.  Peter Boghossian was one of three authors of the hoax, but the other two (James Lindsay and Helen Pluckrose) do not hold academic positions, so are unlikely to be sanctioned.

An institutional review board (IRB) concluded that by involving journal editors and reviewers, they were conducting research on human subjects, and per standard policy they should have gotten IRB approval before beginning.  Everyone–including Boghossian’s defenders–suspects that if he sought IRB approval, he would have been rejected.

Note, there are plenty of experiments that deceive human subjects and still get IRB approval, but I suspect this particular hoax would encounter problems beyond mere deception.  They were undergoing peer review, which is rather arduous labor to get from non-consenting subjects.  The hoax also involved fabricating data, and the IRB decision on that matter is still pending.  I would also say that the hoax did not have much scholarly merit, which is a legitimate consideration for these ethical reviews.

Boghossian’s defenders, of course, are spinning a “martyr for free speech” narrative.  If the target of his hoax were something more acceptable, would he still have been criticized on ethical grounds?

Well, actually…

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The skeptical mythology of postmodernism

Ever since I started blogging in 2007, one of the boogeymen of the skeptical movement was so-called postmodernism. Postmodernism, as skeptics understood it, was an ideology where anything goes. It was extreme moral relativism. It was the idea that truth itself was a social construct. It was the idea that no one could know anything, and yet people could have their own personal truths, which may differ from one another. In short, it was one of skepticism’s antitheses.

Transcript: You have your truth, and I have mine. All knowledge is theory-laden. All perception is internal to the perceiver. There is no meaningful "reality." In the shadow cast by this knowledge, I decide for myself what is good and what is not. Caption: Postmodernism is the only explanation for black licorice.

Source: SMBC. I think the best way to describe the skeptical concept of postmodernism is by showing how skeptics choose to portray it in parodies.

Even in 2007, this seemed kind of sketchy to me. I recall writing a post titled “What’s with postmodernism?” wherein I complained that the term was inconsistently defined, and trusted sources offered a completely different picture of what postmodernism really was. Now that I have more experience in academia, and a much greater degree of cynicism about the skeptical movement, I feel more confident in simply calling bullshit. Postmodernism is a villain invented by skeptics, originally based on a real thing, but so far abstracted from reality that it may well be called mythology.

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That time IFLScience wrote about my field

As you can see, I took a brief blogging break… and during Asexual Awareness Week too.  But I don’t believe in apologizing for that sort of thing.


Two years ago, I spotted an IFLScience article about my particular field of research.  The article’s title?  Crucial Superconducting Theory Confirmed.  I remember chortling over the absurd idea that superconductivity would be solved, and that the first place I’d hear about it would be IFLScience of all places.

As I read the article, I realized how familiar I was with the research being discussed.  I knew Chandra Varma, a famous superconductivity theorist.  I had already read the scientific article they were talking about.  And one of the authors on the paper was a close colleague.  Small world, eh?

Anyway, I found the article interesting as a tiny little case study on science popularization.  Let’s go through the article, starting with the title.

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Just how bad is evolutionary psychology?

This is a repost of an article I wrote in 2012.  This is one of the things I had in mind when I recently wrote “So you want to discredit an academic field“.  It’s super old, so I felt it needed some light editing for clarity, and to remove references to old drama nobody cares about.

Both critics and defenders of evolutionary psychology (henceforth EP) agree that popular EP is terrible.  The question is, how deep does it go?  There are four possibilities:

  1. Journalists are misinterpreting and exaggerating studies.
  2. Journalists understand correctly, but pick out terrible studies from a generally reputable field.
  3. There are large sections of EP which are just bad, but attract more media attention.
  4. EP is rotten all the way through.

Case study: Argumentative Theory

The trouble is that you can hardly talk about EP without talking about specific examples of EP.  And if you only have a few examples, people can accuse you of not having a large enough survey.  But it’s hard to investigate more than a few examples, because we’re lazy and/or have jobs.

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So you want to discredit an academic field

Perhaps you’re an evolutionary biologist who thinks evolutionary psychology is too panadaptationist. Or you’re a creationist who thinks evolutionary biology is the devil’s handiwork. Maybe you think Freud is fraud. Or you think climate science is fake news produced by lizards. Perhaps you find postmodern theory to be a bunch of anti-scientific babble. Or perhaps you have a bee in your bonnet about how gender studies believes in “cisnormativity” in “the workplace”.

No matter your target, whether your crusade is honorable, foolish, or malevolent, discrediting an entire academic field is a tall order. After all, an academic field is the work of many very educated people, and you barely have enough time to read even a few pages. You have difficulty understanding what Gibberish Studies is even talking about (which is of course one of your critiques!), and you have a life outside of attacking academics, and also your writing deadline is tomorrow. What to do?

If discrediting an entire academic field is too ambitious, then perhaps it is also too ambitious for me to write a comprehensive guide telling you how to do it. This might fit into the demarcation problem in philosophy, but it’s an unsolved problem–anyway, who has time to read all that philosophy? I give you something more low-brow, simply a list of practical tips.

1. Get a degree

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Evolutionary Prisoner’s Dilemma sim

This is a small programming project I worked on in 2013-2014.  Although I wrote a blog series about it at the time, this is not a repost of that series.  Instead, this is a repost of the explanation I wrote earlier this year, when I uploaded the project to github.  If you liked this article, you might also enjoy this interactive game, although I had nothing to do with that one.

The Prisoner’s Dilemma is an important concept in game theory, which captures the problem of altruism. Each of the two players chooses to either cooperate or defect. Cooperating incurs a personal cost, but benefits the other player. If both players cooperate, then they are better off than if they had both defected. In a single Prisoner’s Dilemma, it seems that it’s best to defect. However, if there are multiple games played in succession, it’s possible for players to punish defectors in subsequent games. When multiple games are played in succession, it is called the Iterated Prisoner’s Dilemma (IPD).

The best approach to the IPD is highly nontrivial. In 2012, William Press and Freeman Dyson proved that there is a class of “zero-determinant” strategies that seem dominant, and which would lead to mostly defection. However, Christoph Adami and Arend Hintze showed that the zero-determinant strategies are not dominant in the context of evolution. Understanding this issue could elucidate why humans and other creatures appear to be altruistic.

How the simulation works

  1. We have a population of 40 individuals. Each individual has 4 parameters that govern how they play IPD.
  2. Each individual plays IPD against 2 other individuals in the population, and their fitness is calculated from their average score.
  3. One individual dies, and another reproduces. The probability of reproduction increases with fitness, and the probability of death decreases with fitness.
  4. All the parameters of the individuals are mutated by small amounts.
  5. Steps 2-4 are repeated a million times. Each repetition is called a “generation”.

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