A brief remark on thematic proposals: These are intended to provide some basis for discussion on an specific theme of relevance for furthering the Science of Information. We kindly invite and encourage whoever is interested in fostering the Science of Information to make comments in the space available .
A thematic proposal by: Mark Burgin
The general theory of information has three parts:
- Philosophical, which gives a new vision of information and its place in the modern world;
- Methodological, which studies basic principles of information theory and information technology;
- Theoretical, which is mathematically based making available different mathematical models of information, information processes and information processing systems.
Mathematical models are developed in various domains and employ different mathematical theories. Such an information space can be a logical system (in this model, logicians can contribute) or a Hilbert space, which is used in physics for representing observables (in this model, physicists can contribute). Actually observables (even by their name) are information operators. There are models based on functional analysis, in which information is represented by operators acting on information spaces, which are state spaces of infological systems. Other models use logic (logical models), theory of algorithms (constructive models), theory of categories (categorical models), topology (topological models), and some other mathematical theories.