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CONLANG  September 2015, Week 2

CONLANG September 2015, Week 2

Subject:

A Sudden Insight About Adjectives

From:

Logan Kearsley <[log in to unmask]>

Reply-To:

Constructed Languages List <[log in to unmask]>

Date:

Thu, 10 Sep 2015 18:10:41 -0600

Content-Type:

text/plain

Parts/Attachments:

Parts/Attachments

text/plain (87 lines)

And some adverbs, too.

There is a class of adjectives called "non-intersective adjectives"
because the set of referents of a noun phrase that includes them does
not *intersect* the set of referents for the same noun phrase without.
This is better explained with examples:

"a short basketball player" is also "a basketball player", so "short"
is an intersective adjective.
On the other hand, "a former basketball player" is *not* "a basketball
player", so "former" is non-intersective.

Similarly, if you "almost finish", then you do not "finish", so
"almost" is a non-intersective adverb.

My formal education in formal semantics only really exposed me to one
way of modelling non-intersective adjectives/adverbs: as higher-order
functions that take predicates as arguments and produce new, different
predicates.

But this model is not very compositional, and results in icky
complicated interpretation rules. As a result, I have so far mostly
avoided them in WSL, and the few times I've needed them I've punted
and just decided that they are taken care of by morphological affixes.
That works if you want to say "a former player", but (because of the
lack of compositionality) makes it very difficult to say "a former
basketball player".

While contemplating the FL1-inspired sister language for WSL that I've
been blogging about (and which I really need to come up with a name
for...), though, I had a sudden flash of insight: non-intersective
adjectives can be modelled in first-order logic as two-place
predicates that specify the relation between the actual final referent
of the noun phrase and the thing-that-it-isn't (plus some mathematical
machinery to replace the thing-that-it-isn't with the actual thing in
the semantic projection of the phrase).

This was not actually inspired by Prolog, but it retrospect it totally
should have been, so I'm just going to claim that it was. :)

Basic versions of Prolog do not have functions, only true/false
predicates, but *simulate* functions by allowing you to query a
predicate with a variable in one or more of its argument places, after
which the Prolog system will give you a set of all possible values of
those variables that satisfy the predicate- equivalent to returning
those values from a function. And the exact same transformation works
for modelling non-intersective adjectives in a predicate logic model
for formal semantics.

This has all kinds of fun implications for WSL and its unnamed sister.
First off, if non-intersective adjectives are modelled as two-place
predicates, that means they naturally belong to the class of Roles in
WSL. This is cool because it helps further cement the position of
"Role" as a genuine open class, which does not directly correspond to
adpositions or case markers in other languages.

Additionally, I now have a reason to consider intra-phrase word order
in WSL to be significant. Given some derivational morphology to turn
Roles into Nouns in a new way, we can have "non-intersective Nouns",
whose semantic representation will be an expression that binds a new
variable to replace the original referent and specifies the relation
between the new and old referents. That means that any other Nouns
that appear to the *right* of a non-intersective Noun describe the
"thing-that-it's-not", while anything to the left further describes
the actual referent; thus, there is now significant information
contained in the branching direction and linear ordering of WSL Noun
phrases. And the same mechanism can apply to the monocategorial sister
language.

Now, if I just had a way to handle non-intersective adjectives *and*
some excuse to make word-order significant, that would be pretty cool.
But it gets even better than that! The same replace-the-referent
mechanism that makes non-intersective noun-jectives work can *also*
specify relations between actual arguments to a clause and other
non-argument referents; in other words, it can specify compositional,
multi-word *genitive* expressions (and arbitrary generalizations of
such)! Which means that it no longer requires multiple embedded
clauses to translate simple things like "I found my wife's car keys".
That's a pretty big deal. :)

Also, it means that the word "of" translates into WSL as a
non-intersective Noun, which should *really* drive home the point that
WSL parts of speech bear no consistent relation to traditional
Indo-European parts of speech *at all*.

-l.

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