Showing posts with label GEB. Show all posts
Showing posts with label GEB. Show all posts

Thursday, January 15, 2009

The gist of Goedel's theorem seems to be found in the fact that our language becomes a pitfall when it is used for self-reflection. Any formal system which we could have thought of (till now) has the same flaw.

No human-made formal system appears to be capable of self-reflection; yet any human can do it.

Why are our brains "made" in such peculiar way? As if there is a blind spot which prevents us from seeing the source of light. Will we be able to develop a workaround this spot? If the answer is yes, what sort of "language" will be used for such purpose (i.e. the formal system for which Goedel proof does not hold)? Will it be a "language" at all? What is, after all, the definition of the concept of "language"?

Tuesday, January 06, 2009

Continuing the translation-related stream of thoughts...What is, ultimately, the purpose of translation? According to Hofstadter, a thought could be seen as the specific itinerary via the (sub)network of active symbols (with all traffic scrupulously recorded). Along with this, we have to realize:
- there is no other network like this one;
- the author of the thought (be in in the form of a novel, a piece of poetry or even a phrase) does not necessarily perceive in all detail what was the purpose of all this and what the implications might be;
- ultimately, if to take this utterly seriously one will find himself / herself in the situation of S.B.Odin from Strugatsky's book 'Monday begins on Saturday', who, as we remember, knew how to perform every possible miracle, but was not able to really do anything, because it was never possible to satisfy all conditions!

Therefore, we can never expect the translation to be ultimately perfect. It simply cannot be, because no two human beings possess the same symbol network. The interesting question therefore is, what is the threshold of the information loss. How much information can be preserved when transmitted from one human being to another? How much information should really be preserved? (What if the noise is part of any thought, like virtual particles cloud is part of any "real" particle - sure we don't have to translate the noise?..)

Monday, January 05, 2009

Reading Hofstadter's GEB, I've come to the point, where he cites "Jabberwocky" in English, German and French and compares the beginnings of the three translations of "Crime and Punishment" into English. This, and subsequent episodes, have provoked some response in my symbol network, which I am going to try to pin down.

First, regarding Hofstadter's remark of the French translation of the word "slithy" ("lubricilleux"), he wonders if using the Latin-based word where its analogue in English is non Latin-based would trigger the additional sense of "alienness" of this word in the French reader which was not the intention in the original. I am not the ultimate expert of this subject but I have the impression that the French perceive the words with Latin roots simply as their own (French, after all, is a Roman language while English is not). Therefore, the translator's choice was probably quite fitting one. It is the fact that French has so many words in common with English (first, thanks to the fact that the English originally also used to be a Roman colony, and second, because the English have been conquered by the French later on) which obfuscates the difference between these two languages, but I wonder why Hofstadter did not mention it (could it be that he did not meet many French people at that time? ;) )

Second, regarding the Dostoevsky's translation. In the first phrase, there is a name of the street (S.Pereulok, abbreviated from Stolyarny pereulok). One of the translators just left S.Pereulok as it was, the other one changed it to S.Lane, and the third one called the little street "Carpenter's Street". Interesting that Hofstadter is against the translation No.3, because to him, it makes all thing sound like one of Dickens' works which could take place in London and in this case, why read Dostoevsky, asks Hofstadter, instead of reading Dikkens who is the ultimate translator of the same ideas into English?..

This is an interesting point. Could it be that different persons would require different flavors of translations for their minds to accept them as most suitable? The one example which immediately surfaced to my mind is the Russian translation of "The Wizard of Oz", which, as almost any Russian speaker knows, is called "The Wizard of Emerald City", has six follow-ups which wander far, far away from the original story (which already has been altered "to get accepted by the Russian children better"), and which is, as far as I know, far, far more popular than the more accurate translations of the original.

From the other side, the most popular Russian translation of Alice in Wonderland is not the one of Nabokov, who tried to do similar trick, substituting English realities with the Russian ones, but either the one of Boris Zakhoder, who preserves the "Englishness" of the book but does makes all the word plays and puzzling paradoxes comprehensive, so to say, or the one of Nina Demurova (who is assumed to be, in any case, the best translator for the little "Jabberwocky" piece)...

Thinking about the connotations and associations which exist in one language and do not exist in another looks per se both puzzing and endlessly interesting, but there are lots of traps where it is so easy to fall. For example, a simple English phrase "one another", at the first glance, seems to be literally translated into Russian as something like"friend-a-friend" (друг друга). But then, the word "друг" here can be an abbreviation of the word "другой", which literally means "other, another". But then again, isn't the word "другой" related to the word "дорогой" (dear), by the rule of making longer Russian words from the shorter Ancient Russian / Church Slavic words? Anyway, the words "friend", "another" and "dear" seem to be related in Russian, if only by the power of alliteration and pseudo-ethimology. What a nice thought can be drawn from this fact - that in the language itself, it is encoded that all the other persons are, by default, our friends, and they are, by default, very dear to us! (Incidentally, the word for "enemy" (враг, ворог) seems to be close with the word for "doing (evil) magic" (ворожить) - which can, if one is in the proper mood, be explained as that our only enemies are those who are doing the magic. It actually fits, if one takes the definition of magic as the attempts to overturn by the force of individual will the laws of nature - such persons could be indeed potentially dangerous!)

Enough for today.

Thursday, December 25, 2008

Anteater: ...If an effort is initiated, perhaps at random, by a few ants in some locale, one of two things can happen: either it will fizzle out after a brief sputtering start -
Achilles: When there aren't enough ants to keep the thing rolling?
Anteater: Exactly. The other thing that can happen is that a critical mass of ants is present, and the thing will snowball, bringing more and more ants into the picture. In the latter case, a whole "team" is brought into being which works on a single project. That project might be trail-making, or food-gathering, or it might involve nest-keeping. Despite the extreme simplicity of this scheme on a small scale, it can give rise to very complex consequences on a larger scale...
(C) Douglas R.Hofstadter - Goedel, Escher, Bach: an Eternal Golden Braid.

This description appears to be perfectly applicable to the open-source projects, too ;)