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Lexical Analysis, Minimal Pairs, Headspace and the Justification for Liberal Education

24-Sep-10

I was reading the dragon book just now  (for work; for fun; work is fun!); in the chapter on lexical analysis they mention minimal-distance error correction as a possibility, mainly theoretical, for lexical error recovery.  That is, when you encounter a lexical error, find the path of the least number of insertions, deletions, transpositions or changes of characters that lead to a valid lexing, and proceed as if you’d encountered that.

This is a terrible idea, because it’s expensive and it can introduce horrific errors.  In practice,  nobody does it.  In their lexers.

But what if we do it in our brains?

So this got me thinking about human natural language “lexing”, such as it is, and how the brain interprets sound into phonemes, lexemes, and eventually meaning.  We have a pretty good ability to recover from a bad lex if we hear something that doesn’t resolve to a lexeme, and the ability to “search” the nearby phonetic/lexical space if the sounds we heard don’t resolve to a meaningful parse.

Trivial example: if a Southerner asks me for “a /pin/ to write something down with” I understand that they are saying “pen”.

So then I was thinking about minimal pairs, or groups of minimal-distance lexemes, such as “grin”/”grid”/”grit”.  These are mutually minimal pairs phonetically, with the /n/ /d/ and /t/ all dental or alveolar with substantial stop chracter.  They’re even all nouns.

What struck me, though, is that they don’t feel much like a minimal set.  I think that’s because they’re not very similar in denotation or connotation.  Which is to say, that the space in which I’m distinguishing them, mentally, is not merely the space of the phonetic differences between /n/ /d/ and /t/ but also the whole space of my internal lexicon, my experiences and memory including the sensations indexed under “grid” which are rather different from those near “grit”.  I guess what I’m really trying to say is that my experience of my internal lexicon is something like the OED’s list of citations, except that the citations are drawn from texts I personally have read and my own experiences.

I certainly have had the experience, while learning languages, of encountering what seems to me like a minimal pair, asking a native speaker about it, and getting a laugh because, I would argue, that person’s experience of the two words has a  large distance between them.

And that is what brings me to liberal education; the idea that in order to be well-rounded each person should read widely and get some experience of foreign, even hostile ideas.  What if the primary value of a liberal education is that it expands your lexicon — not just directly, in that more entries are added, but also by increasing the differentiation of nearby entries by increasing the distance between them?  This could work either by expanding the actual space (Ha – he said reading makes you big-headed) or it might increase the subjective experience of lexical distance by, effectively, fiddling with the metric that you use to measure the space.

Either way, I think it’s a good thing; it’s a literal expansion of the mind, and it’s one form of growth as a person that has no obvious downside.

And Now, We Can Skip the Carnegie Course

21-Sep-10

Today, in the car, while driving to swimming lessons, K said:

“Daddy, people like to be right.”

I agreed.

“And they don’t like to be wrong.”

Yes.

“And they especially don’t like it when you tell them that they’re wrong.”

Oh yes.

If it weren’t for the Soviet invasion, you wouldn’t be

20-Sep-10

Wouldn’t be American; and wouldn’t be, at all.

K has a love of history that we’ve been able to indulge by getting the Story Of the World audiobooks from the library.  She’s listened to all four volumes, from prehistory through about 1995.  (I was a bit reluctant to let her have modern history, 1860-1995, what with the various genocides that cloud the 20th century.  But Danielle and I talked about it, and K and I talked about it, and we decided to go ahead.  Not too many nightmares so far, though I never expected to be discussing the Holocaust in moderate depth with my 6-year-old.)

She was listening to Cold War history the other night when as I was passing by her room and I happened to hear that the topic was the 1968 Soviet invasion of Czechoslovakia.  I walked in and paused the narration.

“Your grandma and grandpa were there, you know.  And your two aunts, but they were little kids then.”

“Did they see the soliders coming down from the sky?”

“The paratroops?  No, I think that happened at night, they were in bed.  But I remember my mom saying that N saw a tank in the street and it scared her.”

She paused to digest that.

“Y’know, if it weren’t for the Soviet invasion, my parents probably wouldn’t have left and come to America.  And I would have been a Czech, like my cousins – the children of my mom’s brothers who stayed.  And then you wouldn’t exist.”

How To Chip Teeth So Kids Will Go To Bed

17-Sep-10

As we were leaving Calgary, C asked if we could watch Mulan when we got home.  I said, “sure” and everyone promptly forgot about it.   After we got home, we had dinner and did the usual evening things and then I sent the kids to bed.

At around 9:30 PM C came downstairs and reminded me that we hadn’t watched Mulan yet.

“It’s 9:30, I’m not going to start an hour-and-a-half long movie now; it would end at 11.”

Yelling, screaming, crying, mostly centered around “PUT THE MOVIE ON NOW!!!”

I didn’t want to physically put her to bed; I wanted to work.  I tried ignoring her for a few minutes but the noise-cancelling function couldn’t cope.  (Maybe I need a new battery.)

Finally I went up to her and said, “Do you want a candy?”

She stopped screaming.  She nodded.

I have a bag of wintergreen (Wint-O-Green, I suppose) life savers.  I gave her one.

She stopped crying.

“Did you know that when you crush these they make light?”  I crushed mine between my teeth – OW – chipped off a piece of enamel.

“I didn’t see anything, Daddy.”

We turned off the lights and tried again, with a nutcracker.  On the first try, life saver pieces scattered all over the floor.  On the second try, she saw the triboluminescence.

“Wow, Daddy!”  She ran upstairs.

Success!, I thought.

She came back downstairs with her brother in tow.  “F wants to see it too!”

“I don’t want to eat another one right now.   I hurt my tooth when I bit into that first one.  I’ll show you both another night.”  Disappointed, but mollified.  Two minutes later they both went back to bed and I got back to my work.

Today I found out that I did indeed chip the tooth, right through the enamel even, and I need to get it filled.

TOTALLY worth it.

Brilliant Flash of the Obvious

16-Sep-10

I don’t know when I first heard the phrase “Brilliant Flash of the Obvious”. I know I was using it already in the 1990s, in California and I’m sure I didn’t invent it. It has some currency today — David Allen uses it in one of his talks — but only two google hits before 2005.

So what is a brilliant flash of the obvious? It’s an insight, or revelation, or transformative moment that contains absolutely no new information. The world doesn’t change, the available information doesn’t change – but something does change, in your internal cognition.

Maybe it’s easier to give an example. In my senior year of college, in P-Chem lab, I suddenly had a brilliant flash of the obvious: everything is made out of atoms! Normally, you’d hope that a senior chemistry major would know that already. But suddenly in that moment it hit me: I’m made out of atoms, the glassware is made out of atoms, the lab bench is made out of atoms, EVERYTHING is made out of atoms.

I was staggered. I must have said something out loud (e.g., “Whoa! Everything is made out of ATOMS!”) because my lab partner Jeff started making fun of me, and Dr. Cave told him to leave me alone. Which I appreciate, in retrospect, but at the moment I was too blown away to care or notice.

Morning Routine

15-Sep-10

Woke up to the sound of howling kid. Finn was having some sort of morning nightmare around 7:15. I lay down with him and cuddled him back to sleep, then got up, made coffee and had breakfast and wrote out today’s agenda. (I resist calling it a to-do list because I don’t feel committed to doing it.)

Charlotte got up and helped me make vegan pancakes. While they were cooking, she woke up Kaija and Finn. After they ate, I sent them all to brush their teeth and now they’re watching Mulan downstairs.

Mainly today I’m enjoying the contrast: vegan pancakes, mainstream entertainment.

Update: And I used the time they spent watching the movie to clean up the kitchen, get some work done, and put supper in the slow cooker. Domesticity wins today.

The Server Crashing

14-Sep-10
Turning and turning on its aging platter,
The disk cannot answer the controller;
Things fall apart; the server cannot hold;
Mere anarchy is loosed upon the blog...

Sambal.org used to be served out of my house; that server suffered a disk crash about a month ago, on its root disk, which was not RAIDed (not on the data disk, which was RAID-1). I haven’t tried to resurrect that machine yet, having been busy with various other things. We’re now hosted elsewhere while I figure out when to fit in “resurrect blog archives” into the rest of my life.

On Social Security Privatization

13-Sep-10

David Henderson recapitulates a good point (talking about a hypothetical Social Security privatization plan):

So what just happened here? The government imposed a new forced saving scheme. It, in effect, said to workers, “We were already taking X from you. Now we’re going to let you use X the way you want, within limits-…. Oh, and we’re going to have to take another almost-X to pay SS claimants.”

Let’s say the government announced a new social security privatization scheme — suppose, at your option, you could receive a lump sum representing the value of your contributions to date (as long as you invested it in index funds or bonds), but at the price of giving up your future Social Security income stream.  And then, presumably, instead of making Social Security “contributions” with your payroll taxes, they would go into your retirement savings account.

In order to make that payout, the government would have to print a lot of money.  They don’t have any assets backing the Social Security “trust fund”.  Although payroll taxes are framed as “contributions,” they are merely spent on current expenses — and have been spent, since they first were collected in 1935.  The money is just gone, and like the depositors of a tunneled bank, we need to come to terms with that.

The Rape of Nanking

07-Aug-10

I’ve been reading Iris Chang’s book The Rape of Nanking — which, for all its flaws, appears to be the best English-language general history available.  I’m only about halfway through, reading about the International Committee’s Safety Zone and the descriptions of the atrocities; critics usually target the last third of the book, where Chang apparently speculates about the Japanese national character.

As far as I know, though, nobody sensible disputes the basic accuracy of her account of the massacre, killing competitions, rapes, etc.  I’ve been having to take it in small pieces.  It was giving me nightmares.

Chang committed suicide in 2004, while working on a book about the Bataan Death March.

There’s Something Rotten

06-Aug-10

We all know that Hamlet said, “There’s something rotten in the state of Denmark”.  But did you know that was a reference to an earlier quote?

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