Universics - a Common Formalization Framework for Brain Informatics and Semantic Web
- Ioachim Drugus
- Philosophy
- 1 March 2010
This chapter is an introduction to a conceptual framewok and a mathematical apparatus, said to be Universics, designed to serve for integration of other disciplines via their universes of discourse…
Metalingua: A Language to Mediate Communication with Semantic Web in Natural Languages
- Ioachim Drugus
- Computer Science, Linguistics
- 2012
Metalingua, described in this paper, is a counterpart of Notation3, which complies with “compositionality principle" and can mediate the communication between humans speaking natural languages and Semantic Web, and be used for formalization of natural languages, including languages considered “difficult”, like Chinese.
The Whole Brain Approach to the Web
- Ioachim Drugus
- Computer ScienceIEEE/WIC/ACM International Conferences on Web…
- 2 November 2007
A new approach to data representation is introduced, which reflects the mechanism of mind based on the compartmentalization of brain into two hemispheres, and can help in clarification and development of semantics of the Semantic Web.
Imbrication algebras - algebraic structures of nesting order
- Ioachim Drugus, V. G. Skobelev
- MathematicsComput. Sci. J. Moldova
- 2018
This paper initiates the research of aggregate algebras by narrowing the focus to one type of their main reducts – the reduct which deals with ordered pairs.
A Universal Algebraic Set Theory Built on Mereology with Applications
- Ioachim Drugus
- MathematicsLogica Universalis
- 1 February 2022
Category theory is often treated as an algebraic foundation for mathematics, and the widely known algebraization of ZF set theory in terms of this discipline is referenced as “categorical set theory”…
Towards an Ontology of Individuals: Comments on "Identity, Ontology and Frege's Problem" of William Greenberg
- Ioachim Drugus
- PhilosophyComput. Sci. J. Moldova
- 2015
Universics: a Theory of Universes of Discourse for Metamathematics and Foundations
- Ioachim Drugus
- PhilosophyComput. Sci. J. Moldova
- 2016
The main results of this paper are an explication of the notion “foundational completeness”, and a generalization of well-founded-ness.
A Universal Algebraic Set Theory Built on Mereology with Applications
- Ioachim Drugus
- MathematicsLogica Universalis
- 1 February 2022
Category theory is often treated as an algebraic foundation for mathematics, and the widely known algebraization of ZF set theory in terms of this discipline is referenced as “categorical set theory”…