Astrolinguistics: Design of a Linguistic System for by Alexander Ollongren

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By Alexander Ollongren

In linguistics, one of many major components of contemporary examine includes the functions and chances of there being a "lingua cosmica," a LINCOS, a common language which may be used to speak with non-human intelligences. This e-book touches at the zone of the improvement and use of a "lingua universalis" for interstellar conversation, however it additionally offers techniques that disguise a vast region of linguistics. Chomsky's paradigm on common houses of ordinary 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 somewhere else within the universe? we don't understand 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 should be demanding to procure, with no quite a lot of success. This ebook makes use of astrolinguistic rules in message building and is beneficial in clarifying and giving viewpoint to discussions on existential questions similar to those.

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In the next example there are even three levels. 3 : (A /\ B) /\ (B /\ C) → (A /\ B). 3 = [H : (A (ELIM (ELIM (ELIM ) ) ) /\ B) /\ (B /\ C)] H [h1 : A/\ B; h2 : B/\C] h1 [h11 : A; h12 :B] h2 [* : B; h22 : C](Conj A B h11 h12) . Modus Tollens We have seen in Chap. 5 how the law Modus Tollens can be proved. Starting from the idea used in classical reasoning, the rather unusual constructive verification is obtained there. The law, writing simply MT because the generalization “for all x and y” is implied by (x,y : Prop), stated as a hypothesis reads as follows: HYPOTHESIS MT : (x,y : Prop) (~y /\ (x → y)) → ~x.

Be what you would seem to be” or 2. ” Consider first (1). CONSTANT Alice : Prop. CONSTANT be : Prop → Prop → Prop. CONSTANT what-you-seem-to-be : Prop → Prop. Note (be Alice (what-you-would-seem-to-be Alice)) : Prop. “Be Alice what you would seem to be Alice” Then go to (2). In order to simplify the advice we replace the first line of (2) by the (perhaps not quite grammatical) line. “Imagine yourself Alice to be never not otherwise than” CONSTANT imagine-yourself-to-be : Prop → Prop → Prop. CONSTANT otherwise-than : Prop → Prop.

Examples of using negation are given in Part II. Implication The introduction rule for implication is DEFINE imp : Prop → Prop → Prop := [A, B : Prop] A → B → Prop. Assuming the types X : Prop, Y : Prop, note the following imp : Prop → Prop → Prop (imp X) : Prop → Prop (imp X Y) : Prop. We could have written imp : (Prop → (Prop → Prop)) using the convention of brackets associating to the right in mappings. For binary connectives we (might) also use infix notation, for easy reading by humans. Implication occupies a central position in LINCOS.

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