NON-ARCHIMEDEAN FOUNDATIONS OF MATHEMATICS

• Authors: Schumann Andrew
• Languages of publication: EN

Abstracts

EN

Finite foundations of mathematics developed by D. Hilbert are presently considered in computer science as an original mathematical canon. Nevertheless, transfinite foundations of mathematics proposed by G. Cantor can also be urgent for soft computing. In this paper the author considers some perspectives of transfinite foundations, namely he proposes non-Archimedean foundations of mathematics and non-Archimedean multiple-validity. Further, he constructs a logical language with non-Archimedean valued semantics.

Keywords

EN

NON-ARCHMEDEAN FOUNDATIONS OF MATHEMATICS

Discipline

• LIBRARY_&_INFORMATION_SCIENCE: LIBRARY & INFORMATION SCIENCE

• Publisher: Sciendo
• Journal: Studies in Logic, Grammar and Rhetoric
• Year: 2007
• Issue: 11(24)
• Pages: 47-60
• Document type: ARTICLE

Contributors

author

Schumann Andrew

• Andrew Schumann, Belarussian State University, Minsk, Belarus

Identifiers

CEJSH db identifier

09PLAAAA059620