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From: Mike S. <maikxlx@gmail.com>
One idea that has not been floated would yet be reversing the conventional order of arguments; in other words, the rightmost variable would be the x1, and x2 would be the next leftward one, etc. It would make some sense in this language which tends to be strongly head-final to make the most salient argument (x1) final. e.g.
la mlta vska = The cat sees [something]
la mlta le grke vskeka = The cat sees the dog
Any takers?That just seems to be adding to confusion. We are so used to left-to-right readings that we will take the first one as x1, even if the subject turns out to be x3 or so.
That is pretty much what I was getting at, except that I didn't think that what was in the quotes had to be a formula.Does this help? q{formula}qa <=> ma {formula}
I agree, but the discussion of binding is either incomplete or in flux so that other approaches might be used (l overriding internal s, for example).IMHO: A quantifier does not affect already bound variables under its scope. In other words, inner bindings take precedence over outer ones.
Well, something strange at least. I should add the restri9ction on quantifiers that at least the first formula complement whoudl contain a free occurrence of the indicated variable (lacking that doesn't lead to madness, necessarily -- we could always throw in a je smV , say -- but certainly a lack of clarity).
O, that way madness lies. Luckily, no one has suggested we go that way. I really hope that no one will.
Yes, superimposition is much tidier and shorter and seems to work as well, so far. But I have only been messing with l; whether r and s (as they are now) will be as amenable is not quite so clear (they ought to be, but sad experience has taught me not to trust my intuitions on these things very far).I see you scrapped your conjoined variables in your idea. I was going to mention, while you had them, that if we really needed to do so, we could assign some C for conjoining. Then the apostrophe could go about its own business of forming discrete variables.