Abstract

Several mathematical models have been introduced in linguistics and in translations of languages. The essential mathematical tools used have been algebra, probability, logic, etc. Here we introduce a topological model for languages and their translations. Using this model, we prove that every text in a major language has a best approximating text in any other major language. We prove, similarly, that every text in any major language has a best approximation within the language itself. This permits the theoretical possibility of automatic translations.

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