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On Wed, Aug 15, 2012 at 4:39 PM, And Rosta <and.rosta@hidden.email> wrote: > Jorge Llambías, On 03/08/2012 02:37: > > On Thu, Aug 2, 2012 at 2:10 PM, And Rosta<and.rosta@hidden.email> wrote: > >> > >> 2. Create a loglang that satisfies the key requirement of > >> unambiguously encoding explicit logical forms in a way that is no > >> less concise than the corresponding natlang or Lojban sentences > >> (which are not unambiguous and explicit). > > > > How about using only consonants for predicates and vowels and vowel > > strings (a, e, i..., a'a, a'e ..., a'a'a, ...) as the variables. > > Hopefully you would rarely need more than five variables at a time. So > > for example if "r" is the universal quantifier, "mlt" means "x1 is a > > cat" and "xkr" means "x1 is black", then "ra mlta xkra" means "every > > cat is black". If "s" is the existential quantifier, "ntrl" means "x1 > > is a natural number" and "flw" means "x1 follows x2", then we have "ra > > ntrla se ntrle flweka" (where "k" is the argument separator for > > predicates with two arguments): "For every natural number x, there's a > > natural number y such that y follows x". If "l" is the quantifier > > "the", then "la mlta xkra", "the cat is black". Connectives and unary > > operators such as negation would be of CV form where the vowel is not > > a variable, so if "je" is "and", we have: "la djna le mrye je prmake > > prmeka": "John loves Mary and Mary loves John". > > You'd want to add some mechanism for omitting the variable when it would > correspond to Lojban {zo'e}. Since the scheme already allows for the > omission of terminal arguments (i.e. "love(x,y)" can be "lvake" or "lva" > with the second argument implicit), one solution would be to have different > versions of the predicate for each possible ordering of the arguments, tho > that's not a very economical use of morphological predicate space: you'd > need two versions of each dyadic predicate, six of each triadic, 24 of each > tetradic, 120 of each pentadic; and various of the contrasts would often be > redundant (e.g. for a triadic predicate with two implicit args, there'd be a > redundant two-way choice of predicate; for a triadic predicate with no > implicit args, there'd be a redundant six-way choice of predicate). There > are more economical schemes, but I think they'd all entail using up a bit of > predicate space in order to provide the marking sufficient to allow for > implicit arguments. Is "zo'e" consistent with the aims of the project? I was thinking all arguments had to be explicit, and I would expect most predicates would have only one argument, many would have two, and very few three or more arguments. mu'o mi'e xorxes