Quantum-like formalism for cognitive measurements.
Bio Systems August 2003 DOI: 10.1016/s0303-2647(03)00041-8 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Key points | Proposes that a Hilbert space probabilistic calculus can model measurements on cognitive systems and that consciousness can be described as a self-measuring quantum-like system, with p-adic hierarchical trees serving as a mathematical model of mental space. Argues that this formalism can predict averages of cognitive observables and raises the question of what geometry is adequate for mental modeling. |
Abstract
We develop a quantum formalism (Hilbert space probabilistic calculus) for measurements performed over cognitive systems. In particular, this formalism is used for mathematical modelling of the functioning of consciousness as a self-measuring quantum-like system. By using this formalism, we could predict averages of cognitive observables. Reflecting the basic idea of neurophysiological and psychological studies on a hierarchic structure of cognitive processes, we use p-adic hierarchic trees as a mathematical model of a mental space. We also briefly discuss the general problem of the choice of an adequate mental geometry.