A newly-developed mathematical method can detect geometric structure in neural activity in the brain. The method is a first step toward developing a new mathematical toolkit to uncover the structure ...

In future, our society will recognize greater scientific, social, and economic value in abstract mathematical concepts, logical structures, and the indefinite perception and experience of human beings ...

Quantum Theory: Scientists have found the theoretical rationale of the mathematical structure of composite quantum systems consisting of more than one subsystem. Quantum Mechanics, the theory that ...

Abstract: The article considers structuralism as a philosophy of mathematics, as based on the commonly accepted explicit mathematical concept of a structure. Such a structure consists of a set with ...

Abstract: A precise notion of ‘mathematical structure’ other than that given by model theory may prove fruitful in the philosophy of mathematics. It is shown how the language and methods of category ...

This paper focuses on the possible usage of qualitative mathematics in psychology. Qualitative mathematics is understood to be equivalent to pure mathematics. First, it is explained that mathematics ...