14 May 2012

The Dawn and the Golden Dawn

As well-known, in the latest parliamentary elections (6 May 2012) in Greece, the parties Coalition of the Radical Left (ΣΥΡΙΖΑ) and Golden Dawn (Χρυσή Αυγή) came, respectively, 2nd and 6th,  receiving 16.78% and 6.68% of the votes,

The somewhat curious coincidence is that the newspaper of the first party is called Dawn (Aυγή), while that of the second one is called Golden Dawn (Χρυσή Αυγή). This is true, albeit curious. It should also be mentioned that the online newspaper of the latter party was hosted by wordpress until 10 May 2012, when it was taken down by wordpress for alleged violations of the host organization's policies, which include spamming, defamation and copyright violation. Golden Dawn folks allege that any resemblance of their symbol to the nazi swastika is totally coincidental.

It is moderately funny that with the omission of an adjective one can swing from far right to far left.

9 May 2012

Obsession with gender

This blog is about rationality. So, when I spot things which are irrational, I write about them. Indeed, an offence to one's sense of logic should be one of scientists' concerns.

In my less-than-two-years sojourn in Sweden, I noticed that there is a certain obsession with the concept of gender. Much in the same way that there was (and still is) obsession with affirmative action in the U.S. So, much so, that the obsession often violates elementary logic.

I pointed out some of these gender-type of obsessions before. For example, here and here. Of course, there is nothing wrong about promoting equality, at all levels, for all people, all genders, all ethnicities. But to be obsessed about it so much so that you feel the need to theorize that "one's sex is not biologically determined but  rather something that is `socially constructed'" is a mere insult to elementary science and elementary logic. True, there are exceptions (as always) to the rule. There are people who may not feel comfortable with the gender they are born with and seek a change at some point in their lives. One should respect this. However, to say that everyone's gender is a social construct is not just absurd, but also idiotic.

Such things are pointed out in an article by Bo Rothstein, professor of Political Science at Gothenburg University. Rothstein refers to the Secretariat for Gender Research (sekretariat för genusforskning), formed several years ago, by the Swedish State. Again, having a body of the government interested in promoting equality of sexes, making sure that neither men are discriminated by women nor women by men, is laudable. But to have statements such as "analyze the need for gender research in all disciplines" is strange. I do not understand the meaning of the phrase. It is, to say the least, strange. It does not say "make sure that there is no sex discrimination in any job". The phrase above presupposes that there is a need for gender research in all scientific disciplines (analysera behovet av genusforskning inom alla vetenskapsområden). It is not unlikely that my Swedish (thanks to Google translate, to be honest) is not good enough, but "vetenskapsområden" means "scientific areas" (vetenskap = Wissenschaft = science). If, then, Physics is a scientific discipline, the phrase above implies that there is a need for gender research in Physics. Since it is true that Physics is a scientific discipline, we conclude that the sekretariat för genusforskning mandates that Physics should also be concerned with gender research. Now, this starts looking very irrational, doesn't it?

Pseudo-scientists who conduct gender research in Physics include a certain infamous philosopher, Luce Irigaray, who, among other things, argues that E=mc2 is a "sexed equation" because  "it privileges the speed of light over other speeds that are vitally necessary to us". She also concludes that fluid mechanics is a neglected discipline because it deals with fluids (duh!) which are feminine in contrast to rigid mechanics which are masculine. For more information on this kind of idiotic research, please take a look at the book "Fashionable Nonsense" by Alan Sokal and Jean Bricmont.

Perhaps the Secretariat for Gender Research do not really mean to be irrational. Perhaps the phrase above, taken from their Code of Statutes, means something else. (We should always give someone the benefit of the doubt.) But then it is a mystery what they might mean, if they don't really mean Irigaray-type of pseudo-research.

Last but not least, when we talk about under-represented gender, we may as well remember that such things are, unfortunately, so much embedded in people's minds that people (even the ones who promote gender equality) cannot think of the root of the problem. Rather, they touch upon these problems tangentially, on the surface. As an example, take, for instance, the four monotheistic religions (Zoroastrinism, Judaism, Christianity and Islam, in chronological order of their foundation). As soon as homo sapiens came up with the idea that there is one god, this god immediately assumed male gender. (Whether this has something to do with a male-dominated society, I'll leave it as an exercise.) Therefore, if the Secretariat for Gender Research want to do something about equality, they should go to the Swedish Church (for instance) and tell them to change, or eliminate, the gender of their deity. At least this is more rational than looking for gender research in Physics. I'm willing to bet, however, that they won't do it.


3 May 2012

New "Proof" of P=NP

Credit goes to Jeff Shallit again, for having found the most stupid "mathematical paper" of all times. It can be found here. After proving that the real numbers form a countable [sic] set, the author "establishes" the proof of a long-standing open problem.

It is a recommended read for those who suffer from insomnia and other maladies. As Shallit remarks, it is "a veritable garden of crankiness".

Oh yes, let us not forget the "proof" of Fermat's last theorem.

22 April 2012

On teaching

From time to time, I write some thoughts about education issues. Not because I'm a great pedagogue, neither because I think I have the best solution to the problem. (Not even because I think that students are bad. Such cliches are just pointing towards an easy way out of the door. In fact, us, teachers are more responsible than students.)  But only because, nowadays, and in many places, "to teach" has become equivalent with "to teach recipes".

I will, from time to time, expand on the subject with my thoughts and examples from personal experiences which, trust me, I've had many, and many unpleasant ones.

There is one thing I take as an axiom (fully justified of course), from which I will never depart, and upon which I have always based and will always base my teaching. Namely:
There is no teaching without explaining what is being taught.
This is a fundamental principle, the basis of everything else. If you disagree with it, then you are essentially applying a procedure which should not be called teaching. You are simply adopting a process which should have another name. Preaching perhaps; Or something less harsh if you wish. But the fact that the word teaching has been usurped by all kinds of classroom activities, does not enlarge the meaning of the word. On the contrary, these activities only provide counterexamples (and frequently good ones) to the meaning of the word teaching.

So, if someone demands from you that, say, you teach Real Analysis by only giving the students a set of ready-made formulae, then your response should be:
"You are giving me contradicting demands: if I deliver to a classroom a set of formulae and examples on Real Analysis, without explaining to them how and why these formulae work, then you are asking me not to teach the subject. Therefore your request implies the clause `please teach Real Analysis without teaching the subject', from which an obvious contradiction arises. As it is impossible to simultaneously do something and the negation of the something, you are asking me the impossible."
Such is the only rational response to irrational demands. It all boils down to analyzing the phrases into its fundamental constituents, taking into account the aforementioned axiom. The person who is asking you to teach without explaining is asking you to do something else. And he or she has to name it. If he or she insists in calling it teaching, please insist in that he or she is violating elementary rules of logic. (If he or she claims to be a scientist but he or she fails to see the contradiction, then matters are worse: this person is violating their claim to adherence to science and is exhibiting religious traits.)

I know that this is too abstract. I will come up with examples in due time.

17 April 2012

The Swedish sj-sound

The word for "shit" in Swedish is "skit", sometimes pronounced very much like the English word, but frequently using the voiceless postalveolar-velar fricative /ɧ/ or "sj-sound" . Roughly speaking, this sound is a combination of / ʃ / and an aspiration (in proportion 1:9, in my opinion). Some people describe the "sj-sound" as doubly-articulated voiceless palato-alveoar-velar fricative. The symbol /ɧ/ appears in the International Phonetic Alphabet (IPA) and is only used for this specific sound of the Swedish language, but it is debatable whether the phoneme, as a distinct entity, exists at all. Here is how a Swede pronounces "sju" (seven), using both phonemes (i.e. / ʃ / and  /ɧ/). Someone from the west of Sweden would rather use /ɧ/ in "sju", but someone from Stockholm, or someone wanting to be more pretentious (they tell me), uses  / ʃ /. Other examples of the sj-sound, pronounced both ways, can be found here.

What is of interest (to me) however, is the evolution of the sound. Once upon a time, the "sk" in "skit" was, indeed, pronounced as it is written. The word came into Swedish from the proto-Germanic equivalent, which itself was probably derived from a classical Greek word, which is "skatos" in genitive. The word "sju" was "septem" in Latin, "hepta" in Greek (the aspiration now lost in modern Greek), "sapta" in Sanskrit and, probably, "septm" in PIE. We see that, in both cases, there is an "s" sound there (changed to pure aspiration in Greek).

I am neither a linguist, let alone a phonologist, so anything I write is only a personal theory. It is unlikely (impossible, I would say) that the sound  /ɧ/ existed in old Swedish. Rather, it was an "s" sound which turned into an / ʃ / (much like people in N. Greece pronounce "Serres"). The transformation  / ʃ / → /ɧ/ probably is one of lingustic laziness™ (my terminology), meaning that / ʃ / requires more effort than an aspiration-type of phoneme, like /ɧ/. So "station" (the word for "station" in Swedish) is most frequently pronounced as sta/ɧ/on, rather than sta/ ʃ/on, or, simply, sta/x/on. It appears to me that the the same kind of linguistic laziness™ explains the pronunciation of the phrase "¿como estas?" by Cubans: they replace the first "s" in "estas" by a (voiced) "h" sound and the second one by a voiceless "h", or, by simply omitting it.

This is, at least, my (Occam razor-based) theory, probably badly explained. I have been unable to find any references for the linguistic transformation which resulted in the "sj-sound", and, of course, asking a native speaker doesn't help (one does not think about one's own language). Any tips would be appreciated.



T H E B O T T O M L I N E

What measure theory is about

It's about counting, but when things get too large.
Put otherwise, it's about addition of positive numbers, but when these numbers are far too many.

The principle of dynamic programming

max_{x,y} [f(x) + g(x,y)] = max_x [f(x) + max_y g(x,y)]

The bottom line

Nuestras horas son minutos cuando esperamos saber y siglos cuando sabemos lo que se puede aprender.
(Our hours are minutes when we wait to learn and centuries when we know what is to be learnt.) --António Machado

Αγεωμέτρητος μηδείς εισίτω.
(Those who do not know geometry may not enter.) --Plato

Sapere Aude! Habe Muth, dich deines eigenen Verstandes zu bedienen!
(Dare to know! Have courage to use your own reason!) --Kant