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Nick: > cu'u la .and > > >Kinds involve a fundamentally different ontology from ordinary > >predicate logic: > > >i. To every property there corresponds one Kind. (I'm not sure > >whether relations also have corresponding Kinds.) A Kind is > >the embodiment of the property > >ii. Every x can be construed as a Kind corresponding to property > >{me x} > > .... every which x? As in, the cat Mr Frisky can be construed as a > Kind corresponding to the haeccity (or whatever) Mr Friskyhood? Yes. > Well, maybe so, but what does that buy us? An ontology that gives us what we were looking for. > >iii. All kinds exist > > If you can get away with this, then this is indeed the solution to > intensionality. *If* you can get away with this Since all properties exist, it is not too difficult to take one step further to an ontology where their corresponding Kinds exist. > >iv. A Kind exists in more than one world > > As I'm finding in my remedial reading of Montague For Dummies, the > problem of what exists in what world is very very thorny, and Monty > following Dana Scott dodged it by having the pool of X range across > all worlds, without pausing to wonder whether X belonged in world A > or B. Intuitively (and I know intuition is evil in formalism, but > still), if we have two worlds, one in which I eat an apple and the > other in which I eat an orange, it is perverse to say those aren't > the same individual. So I don't like even posing the issue of what > exists in what world For things like cats and apples, if da plise/mlatu, then, IMO, da is a piece of a single world, pisu'oloi -world (a spacetime). I take that as part of the meaning of plise and mlatu. I further think that spacetimes don't overlap, so a piece of one is not a piece of another. But things like "da -number" and "da ka" don't require da to be a piece of a single world -- da is not a piece of spacetime. And the same goes for Kinds. > >v. One Kind can be a kind-of another > > >For property P, the corresponding Kind could be defined thus: > > >x such that for every y, if P(y) then y is a kind of x > > So if P is 'blue' and y are all individual blue things, then y's are > avatars of the Kind Blue Yes. > >and if y is a kind of x then either P(y) or for me'i ro > >z such that P(z), z is a kind of y > > If y is an avatar of Bluedom, then either it is actually blue, or it > itself contains different kinds of things, most of which are actually > blue? The idea is that the kinds of Mr Dog include not only Mr Fido but also Mr Poodle. > >A. One Kind o-gadri: > >lo-kind broda = lo-kind cmima be lo'i broda > >lo-kind cmima be le'i broda > >lo-kind cmima be la'i broda > > >B. One Kind gadrow: > >lo-kind broda > >le-kind broda > >la-kind broda > > >C. One Kind LAhE: > >LAhE-kind lo'i broda > >LAhE-kind le'i broda > >LAhE-kind la'i broda > > I believe C is least disruptive, but would not object to B > > >In AL, I follow xorxes in opining that lo/le/la when not preceded > >by an explicit PA should mean lo/le/la-kind. This solution seems > >so overwhelming superior to A/B/C that the BF ought to consider > >it > > And it so overwhelmingly breaks with the existing understanding of > {lo broda = pa lo selci be loi broda} that I will vote against it *Is* that the existing understanding of {lo broda}? I'm not sure it is. But anyway, I don't want to rehash the discussion about fundamentalism we've just had. All I was thinking was that the BF ought to at least be given the chance to consider elegant revisionist solutions, if it is to be given a chance to make SL palatable enough to prevent defection to AL. > >As for "is a kind of", this can either be a selbri (typically > >taking as x2 a sumti of type A/B/C), or a NU working like > >{poi'i}, or (by stipulation) LE + ro + A/B/C > > The least disruoptive and most intuitive, I take it, would be a > selbri. Is klesi that selbri? Not quite, because klesi (e.g. "da klesi de") doesn't guarantee that x1 and x2 are Kinds. But some lujvo involving klesi would do. --And.