- ([info]entangledbank) wrote,
@ 2004-08-14 23:44:00
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Two Kinds of Ambiguity
A couple of examples in today's Independent of structures that are theoretically ambiguous but pragmatically not. What's interesting is that the resolution is very different in the two cases.

One is a headline Continent-wide force to counter terror planned by EU defence chief. Now I'm as amused at the next person by these ambiguous placement jokes, or things like 'Magistrates to act on strip shows', but I always rather doubted whether they were genuine. But here's an example before me, and I don't think subeditors are allowed to have much of a sense of humour, so I think this is a genuine ambiguity they didn't notice. And it is grammatically quite ambiguous: a slight shift in real-world facts would make the other reading sensible. But we don't really have a problem reading it; pragmatics tells us what's intended.

More interesting is this gem in a letter to the editor. The writer claimed to have seen a sign saying Pedestrian Casualty Reduction Signals Timing Experiment, and asked the snarky and rhetorical question 'Have we now decided that it is easier to place key words together and let readers work out the meaning themselves?'. To which the snarky answer is: Well yes, as opposed to what exactly?

Cos you put six nouns together in a row, in theory you've got some combinatorial explosion, I dunno, 6! or T6 or something. But in this example I just cannot see an alternative reading. Every other [N N] combination gets knocked on the head because it's not interpretable. I never liked Chomsky's idea of a Feynman diagram where all possibilities are simultaneously evaluated, and those that don't satisfy constraints are closed down; but that seems to be what's happening here. None of the multifarious [N N] possibilities make sense. 'Reduction signals' yes, I can make sense of that, but it doesn't fit higher up. In the end the only recursively intelligible interpretation wins.



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[info]q_pheevr
2004-08-14 05:01 pm UTC (link)

Well, I don't get any reading at all for Pedestrian Casualty Reduction Signals Timing Experiment. I can parse it if I assume that signals is a verb, but the result doesn't strike me as particularly meaningful.

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[info]taski
2004-08-14 08:35 pm UTC (link)
I think it's all an experiment to test which reasonable span of time the walking-man signal appears will save the most lives, not that a reduction in deaths triggered a new experiment. However, I could read it either way, depending on the context. If it was a newspaper headline, I'd read it with the verb. If it was a sign next to a door, I'd read it as all nouns, provided it wasn't next to a lot of other signs announcing recent events in the traffic light industry.

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[info]entangledbank
2004-08-15 01:18 am UTC (link)
Well I build up to [Pedestrian Casualty Reduction] (which could be internally grouped in either way, but I think it's [[P C] R]), then find the noun Signals can't be attached to it. But [Signals Timing] works, and [[Signals Timing] Experiment] from that, then the whole thing clicks into focus. It's difficult, but my interest was not the difficulty but how rival interpretations get eliminated.

By the way, my heart sank this morning when I got up woozily and saw my open notebook next to the computer. Or my notebook open next to the computer. As I had no recollection of typing this up, I wondered what bizarre drunken sludge it would turn out to be. Impressive what one can do under the afluence.

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The combinatorics.
[info]acw
2004-08-17 08:01 am UTC (link)
The number of ordered binary trees with N branches is the Nth Catalan number, sometimes written C(N). The Catalan sequence 1, 1, 2, 5, 14, 42 ... is in the Online Encyclopedia of Integer Sequences as A000108. The relevant number of possible interpretations for your quoted example is C(6)=42; I suppose we should have known in advance that this would be The Answer.

As a research problem and word game for your readers, perhaps we could try to collect noun compounds that exhibit all possible structures of each order. For N=1, we have only the class exemplified by "mushroom"; for N=2, the single class containing "system administrator". For N=3, there are two possible shapes, exemplified by "pedestrian casualty reduction" and "college linguistics department". I leave it as a challenge to exemplify the five theoretical classes of four-noun compounds: -(-(--)), -((--)-), (--)(--), (-(--))-, and ((--)-)-.

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