CHAPTER SIX


PROSPECTS FOR RESEARCH ON AYMARA LOGIC



There are promising possibilities for future research on Aymara logic. Both scientific and practical endeavors could benefit from the results already available and from expected findings following further study of the subject.

1) In the field of social communication, a more complete collection of cases of misunderstanding occurring various levels and channels could be very helpful to teachers and text writers, both Spanish and Aymara.

2) The bilingual literacy campaign must take into account the role played by logical suffixes in Aymara. These suffixes are worthy of consideration, and may even have an impact on the orthography to be used. It should be pointed out that the efficiency and achievement attained by bilingual programs all over the world is greater than that of unilingual campaigns.

3) Aymara syntax is strictly algorithmic, which could provide a marvelous opportunity for the use of computerized automatic translation techniques. This, in turn, could have a very positive effect on the revitalization of the Aymara language, as well as on the education of Aymara-speaking people in Bolivia and Peru.

4) The techniques derived from a thorough study of the relationship between Aymara logic and syntax could be very enlightening for the elaboration of new computer languages. Perhaps Aymara could be used directly for this purpose.

5) Computer science might benefit from mathematical research in the field of "Aymara siwi." It should not be forgotten that trits have a higher encoding power than bits. Information storage density in a trinary memory would increase logarithmically if it were possible to manufacture trinary electronic elements based on trits; for example, flow in one direction = 1, flow in the opposite direction = -l, and no flow (doubt concerning direction) = 0. It is evident that four trinary elements can store 3^4 = 81 different code words, whereas four binary elements can store only 2^4 = 16. In other words, a computer having a trinary memory, and programmed according to Aymara logic, would be much more powerful than present-day binary computers based on Boolean algebra.

6) In the field of logic itself, the study of Aymara logic will unquestionably be fascinating. It is a complete inferential theory in every sense of the term: on the one hand it affords a consistent treatment of modal logic; on the other hand, it has an algebraic structure, the "Aymara siwi", which makes it possible to calculate any correctly formulated inferential problem, even when starting from modal premises. Even the temporality of statements is syntactically related to the modal aspect, so that all the tools needed to formulate an integral theory of inference are present.

7) In the field of neurology, it would be interesting to find out whether the information encoding process in our neurons is binary or trinary. If it were trinary, the logical circuits in our brain could be understood using the "Aymara siwi"; thus, Aymara could become the natural "compiler."

8) In the field of decision-making theory, it would be very valuable to investigate the applications of Aymara inferential schemata by which it is possible to reach conclusions starting from uncertain premises. This would permit strategies to be designed based on probabilistic concepts within a trivalent logical schema.

9) In the fields of anthropology and linguistics, there are serious doubts as to the origin of the Qoya culture and its relationships with several other ancient cultures worldwide. For example, if other languages having syntactic structures involving a trivalent system of logic were found, the classification of language families would benefit enormously. Semantic comparisons have suggested that the Qoya languages are closely related to the Turkish-Mongolian family (BM-31; MNA). On the other hand, Bouda (KB2) has identified relationships between Aymara and Caucasic. The comparative analysis of logical aspects of languages could throw new light on those theories.


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