I'm insane for doing this.
My goals are maximum expressive power across a wide range of axes, and minimum change of CLL Lojban. This document is horrifically incomplete; at this point, I just want to see if it has enough potential support to justify writing up a better version.
The basic idea is to identify all of the axes (plural of axis) along which we want to be able to express things in a gadri-like fashion, assign each a UI, and specify a transformation that occurs when said UI is used after a gadri. Since we have the power to define UI usage, this seems perfectly acceptable to me, and many of the UI are under-utilized and under-defined.
Note that I am not attached to this particular selection of UI cmavo; we can find other ones, or make some up, as necessary.
If LX was a completely generic article (i.e. xorlo), then in this system lo broda == LX sa'e cu'i je'u .o'e nai se'i nai broda, and le broda == LX sa'e je'u cu'i .o'e nai se'i broda
- Personal Specificity — sa'e
- The specific thing(s) I have in mind (i.e. "le", but without implication of veridicality).
- le broda ~= lo sa'e broda == su'o da poi mi pensi ke'a zi'e poi ke'a broda
- A specific thing(s), but I have no particular one in mind (i.e. "su'o da").
- lo broda ~= le sa'e cu'i broda == su'o da poi ke'a broda
- The idea of a thing / Mr. Thing / intensionality. Note that this is not si'o; that relates to a whole relationship, not merely the x1 thing.
- lo sa'e nai broda ~= le sa'e nai broda == su'o zo'e noi ke'a broda (which, obviously, I stole from xorlo)
- Existence — da'i
- su'o da, or something like it: insisting that the thing really does exist.
- lo broda == le da'i nai broda
- Imaginary, or otherwise fundamentally non-existant (with respect to the current semantic space).
- lo da'i broda == le da'i broda
- Agnosticism about existence is da'i cu'i, and is the default for le.
- Used to exist (which I think is just "pu", but this needs to be addressed so that we can so "a doctor" and make it clear that agnosticism about the tense means that all the doctors having been killed isn't much relevant).
- Distributivity — .o'e, or mass cmavo.
- (See http://philosophy.syr.edu/mckay.html for an explication. This relates to what Lojban has historically called "masses".)
- The short version: Non-distributive just means that the elements are only considered as a whole in this predication. Distributive is the default; each individual is considered by themselves. "The students surround the building" cannot be represented in standard predicate logic without non-distributives / plurals / masses, because it implies that each student surrounds the building.
- Lojban has historically mixed up what I'm calling "Distributivity" and "Property Transference". I'm not at all certain that seperating the two out is terribly useful, but I'm providing .o'e to allow it.
- Distributive
- LE .o'e broda == LEi broda == su'o da poi gunma zi'e broda
- Non-distributive
- LEi .o'e nai broda == LE broda
- Property Transference
- Handled solely by choice of gadri.
- Set-wise; result has only properties such as cardinality, number, and so on
- Mass-wise; result has all properites borne by any of the entities contained
- Indentification
- Handled by choice of LA vs LE cmavo, not UI.
- By Name
- By Descriptive selbri
- Accuracy / Veridicality — je'u
- Contained identifier is intended to objectively describe the thing; IOW, the description is not specific to the speaker at all.
- lo broda ~= le je'u broda
- Contained identifier is innaccurate / untruthful / nonce in some fashion known to the speaker; IOW, the description is specific to the speaker.
- lo je'u nai broda ~= le broda