Quantum aspects of high dimensional formal representation of conceptual spaces
M S Ishwarya, Aswani Kumar Cherukuri
arXiv (Cornell University) June 29, 2018 preprint DOI: 10.48550/arxiv.1806.11338 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper |
|---|---|
| Citations | 1 |
| Key points | Proposes a model combining formal representation with Gardenfors' geometric approach to conceptual spaces, arguing that the resulting high-dimensional formal representation exhibits quantum aspects and, the authors claim, achieves cognition, in particular consciousness. The authors demonstrate this with a constructive learning scenario and propose an algorithm for conceptual scaling of a real-world scenario under different quality dimensions. |
Abstract
Human cognition is a complex process facilitated by the intricate architecture of human brain. However, human cognition is often reduced to quantum theory based events in principle because of their correlative conjectures for the purpose of analysis for reciprocal understanding. In this paper, we begin our analysis of human cognition via formal methods and proceed towards quantum theories. Human cognition often violate classic probabilities on which formal representation of conceptual spaces are built. Further, geometric representation of conceptual spaces proposed by Gardenfors discusses the underlying content but lacks a systematic approach (Gardenfors, 2000; Kitto et. al, 2012). However, the aforementioned views are not contradictory but different perspective with a gap towards sufficient understanding of human cognitive process. A comprehensive and systematic approach to model a relatively complex scenario can be addressed by vector space approach of conceptual spaces as discussed in literature. In this research, we have proposed an approach that uses both formal representation and Gardenfors geometric approach. The proposed model of high dimensional formal representation of conceptual space is mathematically analysed and inferred to exhibit quantum aspects. Also, the proposed model achieves cognition, in particular, consciousness. We have demonstrated this process of achieving consciousness with a constructive learning scenario. We have also proposed an algorithm for conceptual scaling of a real world scenario under different quality dimensions to obtain a conceptual scale.