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Dear And,
Thanks for these thoughts, which I found helpful. They seem to point in the same direction as several other suggestions, towards stipulated incompatibility. So in some way we need to say that before is not-after and after is not-before - as you say, they're simply converses so they're almost synonyms. This is a very modest step towards Mark's idea of allowing every concept to have a complement (e.g. non-baseball) - modest because you're just suggesting that concepts that we already need, such as 'before'  and 'after' (needed as the meanings of before and after), should be stipulated as complements/opposites. And as you say, it's easy to think of relations such as 'colleague' and 'friend' that are easy to combine and might easily end up as sisters.

I think, personally, that that resolves my dilemma. It clearly has implications for any formal inheritance system (such as the one Mark is building), which has to make relation-inheritance sensitive to these incompatibilities. (Not needed, so far as I can see, for entity-inheritance.)

The only question remaining is how to stipulate incompatibilities. I'll put some ideas into a separate email.

Thanks to everyone who's helped me to sort out my muddled ideas!

    Dick


And Rosta wrote:
[log in to unmask]" type="cite">Some responses to Dick & Lyne:

Da Sylva Lyne wrote:
Hello all,
 
Here's a (humble) shot at it :
("it" being : Precisely what is it that prevents some word W from inheriting the following?
[12: W subject Z]
[13: W after Z]
[14: W before Z]
I've had various thoughts, but none that I really like, so I'd be interested to hear other ideas.)
 
The only reason that you know that W cannot inherit both [13: W
after Z] and [14: W before Z] is that you know that they are
incompatible, i.e. that 'after' and 'before' are two opposite
values of the same relation of precedence. You could not infer that
from, let's say, names like 'rel1' and 'rel2' if you did not know
what these labels meant.

I agree with Lyne completely: the key thing is that part of our knowledge of 'before' and 'after' is that X can't be both before and after Y.
('Before' and 'after' aren't the best example, bcs IMO they're synonyms (converses), tho part of our knowledge of this relation is that if X is before Y then Y is not before X.)

Here's another example : if your two relations were 'head-of' and
'dependent-of', one object obviously could not inherit both [A
dependent-of B] and [A head-of B]. But it's because you know the
semantics of the relations that you can infer this.
 
## This is where I start feeling uncomfortable about this solution. Precisely which relations are mutually exclusive? This example is difficult because I believe there are cases where two words may be mutually dependent; e.g. in /Who came?/, /came/ is the complement of /who/ and /who/ is the subject of /came/ - and 'complement' and 'subject' both is-a 'dependent'.

The relations that are mutually exclusive are those that are incompatible through logic or stipulation.
Incidentally : I actually have argued extensively in my thesis that the choice of the names of relations used in grammatical representations, as well as their values, have to be chosen carefully based on an analysis of the nature of the linguistic phenomena involved - that relations often exhibit oppositions of various nature which suggest what the appropriate formal representation should be. This was based on markedness theory. (It also fits in quite nicely with the notion of default, as I argued that unmarked values are unmarked precisely because they are default values of the oppositions in question.) For example, I claim that 'before' and 'after' are not the proper representations for phenomena of precedence, since this exhibits a binary opposition of a single relation (precedence) which is best represented as either a boolean-valued relation or some other two-valued relation.
 
## In contrast, I think I would follow Sydney Lamb in arguing that names should do no work at all in the analysis, because all the information in a network is carried by the way the nodes are connected. But this is probably a separate issue.

I too wd insist on the insignificance of names. I'd go slightly further than Dick in that I see the difference between converses like 'head'/'dependent' and 'before'/'after' as an insignificant matter of naming.

## My idea is this. The crucial difference between my two examples (about locomotion in birds and word order) is that in the case of word order, the two potentially inheritable relations (before and after) both apply to the same argument and the same value. Because of this, the inheritor has to be more fussy about conflicting relations so it avoids inheriting sister relations (a kind of incest avoidance, if you like), whereas in the other case it just avoids inheriting two examples of the same relation.

But what other examples of 'incest avoidance' are there? There's no problem with X being both colleague of Y and friend of Y. There is no principle or effect of incest avoidance.

--And.



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Richard Hudson, FBA. Emeritus Professor, University College London