(Technically, ``kei'' is never necessary, because the elidable terminator
``vau'' that closes every bridi can substitute for it; however, ``kei'' is
specific to abstractions, and using it is almost always clearer.)
We will most often use descriptions containing abstraction either at the
end of a bridi, or just before the main selbri with its ``cu''; in either of
these circumstances, ``kei'' can normally be elided.
Note: In glosses of bridi within abstractions, the grammatical form
used in the English changes. Thus, in the gloss of Example 1.2 we see
``my going-to the store'' rather than ``I go-to the store''; likewise,
in the glosses of Example 1.3 and Example 1.4 we see ``being-a-soldier''
rather than ``is-a-soldier''. This procedure reflects the desire for
more understandable glosses, and does not indicate any change in the Lojban
form. A bridi is a bridi, and undergoes no change when it is used as
part of an abstraction selbri.
The following cmavo is discussed in this section:
In the proper context, of course, Example 2.9 could refer to the event of
somebody else swimming. Its English equivalent, ``I like swimming'', can't be
interpreted as ``I like Frank's swimming''; this is a fundamental distinction
between English and Lojban. In Lojban, an omitted sumti can mean whatever
the context indicates that it should mean.
Event descriptions with ``le nu'' are commonly used to fill the ``under
conditions
The following cmavo are discussed in this section:
Event abstractions with ``nu'' suffice to express all kinds of events, whether
long, short, unique, repetitive, or whatever. Lojban also has more finely
discriminating machinery for talking about events, however. There are four
other abstractors of selma'o NU for talking about four specific types of
events, or four ways of looking at the same event.
Further information on types of events can be found in Section 12.
The four event type abstractors have the following place structures:
The following cmavo are discussed in this section:
The things described by ``le nu'' descriptions (or, to put it another way,
the things of which ``nu'' selbri may correctly be predicated) are only
moderately ``abstract''. They are still closely tied to happenings in
space and time. Properties, however, are much more ethereal. What is
``the property of being blue'', or ``the property of being a go-er''?
They are what logicians call ``intensions''. If John has a heart, then
``the property of having a heart'' is an abstract object which, when applied
to John, is true. In fact,
Property descriptions, like event descriptions, are often wanted to fill
places in brivla place structures:
In particular, sentences like Example 4.7 and Example 4.8 are quite
different in meaning:
Therefore, an explicit equivalent of Example 4.7, with no ellipsis, is:
This convention allows disambiguation of cases like:
The following cmavo is discussed in this section:
Amount abstractions are far more limited than event or property abstractions.
They really make sense only if the selbri of the abstracted bridi is
subject to measurement of some sort. Thus we can speak of:
Mathematical Lojban is beyond the scope of this chapter, and is explained
more fully in Chapter 18.
However, not everything in life (or even in Lojban) is simply true or
false. There are shades of gray even in truth value, and ``jei'' is
Lojban's mechanism for indicating the shade of grey intended:
The following cmavo is discussed in this section:
How's that in Lojban? Let us try:
Try again:
Closer. Example 7.3 says that I know whether or not Frank is a fool, but
doesn't say that he is one, as Example 7.1 does. To catch that nuance,
we must say:
Now we have it. Note that the implied assertion ``Frank is a fool'' is
not a property of ``le du'u'' abstraction, but of ``djuno''; we can only
know what is in fact true. (As a result, ``djuno'' like ``jei'' has a place
for epistemology, which specifies how we know.) Example 7.5 has no
such implied assertion:
The following cmavo is discussed in this section:
Using one of the indefinite pro-sumti such as ``ma'', ``zo'e'', or ``da'' does
not suggest any particular value.
Why does Lojban require the ``kau'' marker, rather than using ``ma'' as English
and Chinese and many other languages do? Because ``ma'' always signals a
direct question, and so
In addition, Example 8.7 is only a loose paraphrase of Example 8.3, because
it is left to the listener's insight to realize that what is known about
the goer-to-the-store is his identity rather than some other of his
attributes.
The following cmavo are discussed in this section:
Note the importance of using ``kei'' after ``su'u'' when the x2 of ``su'u''
(or any other abstractor) is being specified; otherwise, the ``be lo'' ends
up inside the abstraction bridi.
1. The syntax of abstraction
1.1) mi klama le zarci
I go-to the store
into an abstraction using ``nu'', one of the members of selma'o NU, we
change it into
1.2) nu mi klama le zarci [kei]
an-event-of my going-to the store
1.3) la djan. cu nu sonci kei djica
John is-an-(event-of being-a-soldier) type-of desirer.
John wants to be a soldier.
1.4) la djan. cu djica le nu sonci [kei]
John desires the event-of being-a-soldier.
2. Event abstraction
nu NU event abstractor
2.1) le klama
the comer, that which comes
2.2) le se klama
the destination
2.3) le te klama
the origin
2.4) le ve klama
the route
2.5) le xe klama
the means of transportation
2.6) le nu klama
the event of someone coming to somewhere
from somewhere by some route using some means
Examples 2.1 through 2.5 are descriptions that isolate the five individual
sumti places of the selbri ``klama''. Example 2.6 describes something associated
with the bridi as a whole: the event of it.
2.7) le nu mi vasxu
the event-of my breathing
is an event which lasts for the whole of my life (under normal circumstances).
On the other hand,
2.8) le nu la djan. cinba la djein.
the event-of John kissing Jane
2.9) mi nelci le nu limna
I like the event-of swimming.
I like swimming.
is elliptical, and most probably means:
2.10) mi nelci le nu mi limna
I like the event-of I swim.
2.11) le se nelci cu cafne
The liked-thing is-frequent.
The thing which I like happens often.
which in this context means
2.12) la lojban. cu frili mi
le nu mi tadni [kei]
Lojban is-easy for-me
under-conditions-the event-of I study
Lojban is easy for me when I study.
(The ``when'' of the English would also be appropriate for a construction
involving a Lojban tense, but the Lojban sentence says more than that the
studying is concurrent with the ease.)
3. Types of event abstractions
mu'e NU point-event abstractor
pu'u NU process abstractor
zu'o NU activity abstractor
za'i NU state abstractor
3.1) le mu'e la djan. catra la djim. cu zekri
the point-event-of (John kills Jim) is-a-crime
John's killing Jim (considered as a point in time)
is a crime.
3.2) ca'o le pu'u le latmo balje'a
cu porpi kei
so'i je'atru cu selcatra
[continuitive] the process-of( the Latin great-state
breaking-up )
many state-rulers were-killed
During the fall of the Roman Empire,
many Emperors were killed.
3.3) mi tatpi ri'a le zu'o mi plipe
I am-tired because-of the activity-of (I jump)
I am tired because I jump.
3.4) le za'i mi jmive cu ckape do
the state-of (I am-alive) is-dangerous-to you
My being alive is dangerous to you.
4. Property abstractions
ka NU property abstractor
ce'u KOhA
4.1) la djan. cu se risna zo'e
John has-as-heart something-unspecified.
John has a heart.
has the same truth conditions as
4.2) la djan. cu ckaji
le ka se risna [zo'e] [kei]
John has-the-property
the property-of having-as-heart something.
John has the property of having a heart.
4.3) do cnino mi
le ka xunre [kei]
You are-new to-me
in-the-quality-of-the property-of being-red.
You are new to me in redness.
4.4) le ka do xunre [kei] cu cnino mi
The property-of your being-red is-new to me.
Your redness is new to me.
4.5) ka mi prami [zo'e] [kei]
a-property-of me loving something-unspecified
is quite different from
4.6) ka [zo'e] prami mi [kei]
a-property-of something-unspecified loving me
4.7) la djan. cu zmadu la djordj. le ka mi prami
John exceeds George in-the property-of (I love X)
I love John more than I love George.
4.8) la djan. cu zmadu la djordj. le ka prami mi
John exceeds George in the property of (X loves me).
John loves me more than George loves me.
4.9) la djan. cu zmadu la djordj. le ka mi prami ce'u
John exceeds George in-the property-of (I love X).
and of Example 4.8 is:
4.10) la djan. cu zmadu la djordj. le ka ce'u prami mi
John exceeds George in-the property-of (X loves me).
4.11) le ka [zo'e] dunda le xirma [zo'e] [kei]
the property-of giving the horse
into
4.12) le ka ce'u dunda le xirma
[zo'e] [kei]
the property-of (X is-a-giver of-the horse
to someone-unspecified)
the property of being a giver of the horse
which is the most natural interpretation of Example 4.11, versus
4.13) le ka [zo'e] dunda
le xirma ce'u [kei]
the property-of (someone-unspecified
is-a-giver of-the horse to X)
the property of being one to whom the horse is given
which is also a possible interpretation.
5. Amount abstractions
ni NU amount abstraction
5.1) le ni le pixra cu blanu [kei]
the amount-of (the picture being-blue)
the amount of blueness in the picture
5.2) le ni la djein. cu mamta [kei]
the amount-of (Jane being-a-mother)
the amount of Jane's mother-ness (?)
the amount of mother-ness in Jane (?)
5.3) li pa vu'u mo'e
le ni le pixra cu blanu [kei]
the-number 1 minus the-operand
the amount-of (the picture being-blue)
1 - B, where B = blueness of the picture
5.4) le pixra cu cenba le ka ce'u blanu [kei]
the picture varies in-the property-of (X is blue)
The picture varies in being blue.
The picture varies in blueness.
is not the same as
5.5) le pixra cu cenba le ni ce'u blanu [kei]
the picture varies in-the amount-of (X is blue)
The picture varies in how blue it is.
The picture varies in blueness.
Example 5.4 conveys that the blueness comes and goes, whereas Example 5.5
conveys that its quantity changes over time.
6. Truth-value abstraction: ``jei''
6.1) le jei li re su'i re du li vo [kei]
the truth-value-of the-number 2 + 2 = the-number 4
the truth of 2 + 2 being 4
is equivalent to ``truth'', and
6.2) le jei li re su'i re du li mu [kei]
the truth-value-of the-number 2 + 2 = the-number 5
the truth of 2 + 2 being 5
is equivalent to ``falsehood''.
6.3) mi ba jdice le jei
la djordj. cu zekri gasnu [kei]
I [future] decide the truth-value of
(George being-a-(crime doer)).
I will decide whether George is a criminal.
7. Predication/sentence abstraction
du'u NU predication abstraction
7.1) I know that Frank is a fool.
7.2) mi djuno le nu la frank. cu bebna [kei]
I know the event of Frank being a fool.
7.3) mi djuno le jei la frank. cu bebna [kei]
I know the truth-value of Frank being a fool.
7.4) mi djuno le du'u la frank. cu bebna [kei]
I know the predication that Frank is a fool.
7.5) mi kucli le du'u la frank. cu bebna [kei]
I am curious about whether Frank is a fool.
and here ``du'u'' could probably be replaced by ``jei'' without much change
in meaning:
7.6) mi kucli le jei la frank. cu bebna [kei]
I am curious about how true it is
that Frank is a fool.
7.6) la djan. cusku
le se du'u
la djordj. klama le zarci [kei]
John expresses
the sentence-expressing-that
George goes-to the store
John says that George goes to the store.
Example 7.6 differs from
7.7) la djan cusku
lu la djordj. klama le zarci li'u
John expresses,
quote, George goes to the store, unquote.
John says ``George goes to the store''.
because Example 7.7 claims that John actually said the quoted words,
whereas Example 7.6 claims only that he said some words or other which were
to the same purpose.
8. Indirect questions
kau UI indirect question marker
8.1) I know that John went to the store.
we can also say things like
8.2) I know who went to the store.
8.3) mi djuno le du'u
makau pu klama le zarci
I know the predication-of
X [indirect question] [past] going to the store.
8.4) mi djuno le du'u
la djan. kau pu
klama le zarci
I know the predication-of/fact-that
John [indirect question] [past]
going to the store.
I know who went to the store, namely John.
I know that it was John who went to the store.
8.5) mi djuno le du'u
ma pu klama le zarci
I know the predication-of
[what sumti?] [past] goes-to the store
means
8.6) Who is it that I know goes to the store?
8.7) mi djuno fi le pu klama be le zarci
I know about the [past] goer to-the store.
I know something about the one who went to the store
(namely, his identity).
because the x3 place of ``djuno'' is the subject of knowledge, as opposed
to the fact that is known. But when the questioned point is not a sumti,
but (say) a logical connection, then there is no good alternative to ``kau'':
8.8) mi ba zgana le du'u
la djan. jikau la djordj.
cu zvati le panka
I [future] observe the predication-of/fact-that
John [connective indirect question] George
is-at the park.
I will see whether John or George (or both)
is at the park.
9. Minor abstraction types
li'i NU experience abstractor
si'o NU concept abstractor
su'u NU general abstractor
9.1) mi morji le li'i mi verba
I remember the experience-of (my being-a-child)
9.2) mi nelci le si'o la lojban. cu mulno
I enjoy the concept-of Lojban being-complete.
9.3) ko zgana le su'u
le ci smacu cu bajra
you [imperative] observe the abstract-nature-of
the three mice running
See how the three mice run!
9.4) le nu mi klama
the event-of my going
can be paraphrased as
9.5) le su'u mi klama kei be lo fasnu
the abstract-nature-of (my going) of-type an event
and there is a book whose title might be rendered in Lojban as:
9.6) le su'u la .iecuas. kuctra
selcatra kei
be lo sao'rdzifa'a
ke nalmatma'e sutyterjvi
the abstract-nature-of (Jesus is-an-intersect-shape
type-of-killed-one)
of-type a slope-low-direction
type-of non-motor-vehicle speed-competition
The Crucifixion of Jesus Considered As A
Downhill Bicycle Race