By Alexander Ollongren
In linguistics, one of many major components of contemporary examine consists of the features and probabilities of there being a "lingua cosmica," a LINCOS, a common language that may be used to speak with non-human intelligences. This publication touches at the region of the improvement and use of a "lingua universalis" for interstellar communique, however it additionally provides techniques that disguise a large sector of linguistics. Chomsky's paradigm on common homes of normal languages, for a very long time a number one common thought of typical languages, contains the powerful assumption that people are born with a few type of universals kept of their brains. Are there universals of this sort of language utilized by clever beings and societies in different places within the universe? we don't recognize even if such languages exist. it kind of feels to be very unlikely to figure out, just because the universe is simply too huge for an exhaustive seek. Even verification can be demanding to procure, with out rather a lot of success. This publication makes use of astrolinguistic ideas in message building and is useful in clarifying and giving standpoint to discussions on existential questions corresponding to these.
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Extra info for Astrolinguistics: Design of a Linguistic System for Interstellar Communication Based on Logic
Besides we need to show something like (S K I (K x x)) = x as well. So instead we change to inductive definitions for I, K and S as follows. INDUCTIVE I [x : Set] : Set := i-intro : (I x). INDUCTIVE K [x, y : Set] : Set := k-intro : x. INDUCTIVE S [f : Set → Set → Set; g : Set → Set; x : Set] :Set := s-intro : (S f g x). These definitions imply for the types of the selectors i-intro : (x : Set)(I x). k-intro : (x, y : Set)x. s-Intro : (f : Set → Set → Set; g : Set → Set; x : Set)(S f g x). Note the lambda bindings of f, g and x.
So above type of Matr-ind is resolved into Matr-ind : (P : Matr → Prop)(P Doll) → (x : Matr)(P (S (s5 x))) → (x : Matr)(P x). Next consider inductive forms associated with the more general syntactic structure of sentences in natural languages. As generic example we use the more extensive inductive definition of sentences introduced above, in the form of two-dimensional matrjoshkas. INDUCTIVE Matr : Prop := Doll : Matr | s2 : matr2 → Matr | S : matr1 → Matr | s4 : matr1 → matr2 → Matr WITH INDUCTIVE matr1 : Prop := s5 : Matr → matr1 WITH INDUCTIVE matr2 : Prop := s6 : Matr → matr2.
This observation supplies a key to the case of more than two selectors in an inductive definition. This can be illustrated by INDUCTIVE value : Prop := maybe-false : value | maybe-true : value | maybe-not : value. Now we need three markers FACT is-maybe-false : value → Prop. is-maybe-false = [h : value](ELIM h nil  ). FACT is-maybe-true : value → Prop. is-maybe-true = [h : value](ELIM h  nil ). FACT is-maybe-not : value → Prop. is-maybe-not = [h : value](ELIM h    nil). By means of the mechanism explained one can verify that any two selectors occurring in this inductive definition are unequal: leibniz is applied.