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This paper is a continuation of Sintax Evolution, and it is founded on the same two bases:
This way we reach our thesis: Universal Grammar is Turing complete. Or, in othe words, the human brain circuitry that implements language is Turing complete.
Our thesis that Universal Grammar is Turing complete implies that there are not unlearnable languages. This, together with the fact that natural languages are neither one nor any, demands a distinction between
Computing is a problem solving point of view from which language is a tool to translate problems to the hardware that resolves them. Two consequences follow:
Language is the most distinctive feature of humans, but there is no consensus on what is characteristic of language. From the point of view of computing, we argue that 'the human brain circuitry that implements language is Turing complete'. This thesis makes evolutionary sense, and natural languages are expressive enough, but two issues against it remain: natural language syntax is decidable, and not every possible language can be a natural language. We answer the first showing that the syntax of a complete language can be decidable, and blaming functional semantics for the undecidability, where functional semantics is the semantics of syntax. To answer the second we distinguish native language, first language, and later languages, where all natural languages are first languages acquired during a critical period that eases the process by preventing some possibilities. The thesis supports the weak version of the linguistic relativity hypothesis, and explains the role played by language in the cognitive gap that separates our species from the rest.
Link to my paper on the thesis that "the human brain circuitry that implements language is Turing complete", in figshare, with its pdf file.
An older version is in SSRN.
Another version is in The Internet Archive, with its pdf file.
Another older and obsolete version is in Cogprints, with its pdf file.
Última actualización: 2019-08-10.
© Ramón Casares 2019