Theory of Knowledge Based on the Idea of the Discursive Space

Abstract

This paper discusses the theory of knowledge based on the idea of dynamical space. The goal of this effort is to comprehend the knowledge that remains beyond the human domain, e.g., of the artificial cognitive systems. This theory occurs in two versions, weak and strong. The weak version is limited to knowledge in which retention and articulation are performed through the discourse. The strong version is general and is not limited in any way. In the weak version, knowledge is represented by the trajectories of discourses in time, in a dynamical space called the discursive space, which has an arbitrary number of dimensions. Given space is used to represent a given part of knowledge. A manifold is introduced to represent knowledge with a wider scope (all knowledge). The strong version is an extrapolation of the weak version to cover all forms of knowledge, not necessarily human or manifesting in language. The use of dynamical space construction allows one to formalize knowledge as such. Such an effort requires us to initially consider knowledge as mainly a social and linguistic phenomenon, which also could be presented as a result of the evolution of the understanding of knowledge that took place in the 20th century.

Pretrained Language Models as Containers of the Discursive Knowledge

“…Based on this observation and Foucault's concept, a theory of knowledge can be constructed as a dynamic space in which the trajectories of instances of this knowledge, i.e., discourses, can be described in time. This theory has been proposed in the following texts: [6,15,16]. According to its definition "Discursive space is an n-dimensional dynamical space in which discourses, which are autonomous instances of knowledge, run in time trajectories describing the real state of knowledge in the subject that they concern" [6] (p. 6).…”

“…This theory has been proposed in the following texts: [6,15,16]. According to its definition "Discursive space is an n-dimensional dynamical space in which discourses, which are autonomous instances of knowledge, run in time trajectories describing the real state of knowledge in the subject that they concern" [6] (p. 6). According to the idea of a manifold given in 1854 by Bernhard Riemann, the concept of space can be extended.…”

“…According to the idea of a manifold given in 1854 by Bernhard Riemann, the concept of space can be extended. This allows one to formulate the following definition of knowledge: "knowledge is a set of discourses contained in an n-dimensional manifold that can be interpreted locally as a discursive space" [6] (p. 7).…”

“…Based on Michel Foucault's concept of discourse, especially the text from 1971 (Foucault, 1971), a knowledge model was proposed, named discursive space, in which discourses are instances of knowledge travel trajectories in a multidimensional dynamic space. This model is based on a qualitative procedure to construct the dimensions of this space [6].…”

Free Will as Defined by the Constrained Disorder Principle: a Restricted, Mandatory, Personalized, Regulated Process for Decision-Making

“…The knowledge of the current state of the world is limited by chaos and epistemic limits, making the future uncertain. The only thing that can be defined clearly is "expectations," enabling us to do "otherwise" rather than an unknown and unknowable future (Cook & Wagenaar, 2012;Maciag, 2022).…”