The predicate calculus used currently by mathematical logic in computer science, philosophy and linguistic was found to be too restrictive and inadequate for describing the grammar of natural and artificial language. Therefore many higher order logics have been developed to overcome the limitation of predicate calculus. In this paper a new representation of logic using mathematical principles has been developed for the natural language called Hermeneutic Operative Calculus. This Hermeneutic Operative Calculus is a new language interpretive calculus developed to account for the syntactic, semantic and pragmatic features of natural language and allows removing the restrictions of any particular natural language in the semantic field its map out. The logic of Hermeneutic Operative Calculus capable of represent the syntactic and semantic of factual information of a natural language precisely in any language. The logic of this Hermeneutic Operative Calculus has two different forms of operations called object and meta-operations. The object operation allow for listing the various objects, picturing the various propositions and so forth. The meta-operation would specify what cannot be specified by the object operation like semantical stances of a proposition. The basic operative processes of linguistics and cognitive logic will be mathematically conceptualized and elaborated in this paper.
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10 July 2014
PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability
6–8 November 2013
Penang, Malaysia
Research Article|
July 10 2014
Hermeneutic operative calculus Free
Sivakumar Ramakrishnan;
Sivakumar Ramakrishnan
School of Materials & Mineral Resources Engineering, Universiti Sains Malaysia, Seri Ampangan, 14300 Nibong Tebal, Penang,
Malaysia
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Pradeep Isawasan;
Pradeep Isawasan
School of Computer Sciences, Universiti Sains Malaysia, 11800 USM, Penang,
Malaysia
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Vasuky Mohanan
Vasuky Mohanan
School of Computer Sciences, Universiti Sains Malaysia, 11800 USM, Penang,
Malaysia
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Sivakumar Ramakrishnan
Pradeep Isawasan
Vasuky Mohanan
School of Materials & Mineral Resources Engineering, Universiti Sains Malaysia, Seri Ampangan, 14300 Nibong Tebal, Penang,
Malaysia
AIP Conf. Proc. 1605, 173–178 (2014)
Citation
Sivakumar Ramakrishnan, Pradeep Isawasan, Vasuky Mohanan; Hermeneutic operative calculus. AIP Conf. Proc. 10 July 2014; 1605 (1): 173–178. https://doi.org/10.1063/1.4887584
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