MATHEMATICAL SYSTEM
Charles François (2004). MATHEMATICAL SYSTEM, International Encyclopedia of Systems and Cybernetics, 2(1): 2018.
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(1) |
| ID | ◀ 2018 ▶ |
| Object type | Epistemology, ontology or semantics, Methodology or model |
- “A set of objects, with associated rule or rules of combination” (R. CARMICHAEL, 1956, p.4).
CARMICHAEL, a mathematician without known relation with systemics wrote, in 1956: “… any set of mathematical objects, which admits either (one or more) rules of combination of elements or relations among elements may be said to form a mathematical system. Systems, as so defined, underlie nearly the whole of mathematical science” (Ibid).
During the last 40 years, numerous mathematical developments relative to complex multicausal, mostly nonlinear and dynamic interrelations have been introduced, creating new possibilities to modelize inter- and intrasystemic relations and complementing the traditional models. (See catastrophe, chaos, fractals, fuzzy sets, graphs, percolation, etc…).