|چکیده / توضیح
|Today, under the “true or false” philosophy, we are confined within the ‘syntactic’ restrictions, in connection with the adoption of the counter-concepts/binary concepts presented by common words and Boolean numbers concerned with logical reasoning based on binary logic. In contrast, truth, according to Brouwer and Heyting (intuitive logic), comes from the future. It, according to Łukasiewicz (multi-valued logic), is neither true nor false. It should be a third option that transcends both, i.e., transcends the ‘syntactic’ restrictions to reach the ‘semantic’ and ‘pragmatic’ descriptions of available data. Truth, in this case, will be formulated in the new form of the meta-concept: true-false which is neither true nor false, likewise the ‘affirmation and denial’ idea of the Indian logic. It becomes a cognitive measure used to describe the human cognitive processing. It turned out that we need not only a new term that transcends limits of words and Boolean numbers to describe meta-concepts, but also a new approach based on new philosophy, logic and mathematics to process cognitive information using both physical and mental data. It refers, in this article, as denotation computing for determining the relative density of sand using CPT data. Instead of the counter-concept, “loose or consolidation or high consolidation” we use the meta-concept, “loose-consolidation-high consolidation” to represent the objective–subjective data. Their processing is developed for certain types of data structures designed for representing information content including cognitive measures depending on perception of engineers to exceed the syntax limits of binary concepts towards their semantic and pragmatic aspects. It is based on the integration of modern philosophy, epistemology, logic, and denotational mathematics.