Abstract
We start from the notion of cognitive context to define rich knowledge interactions between virtual agents according to virtual representations of our living societies. It turns out that such a modeling attempt leads naturally to emphasize the notion of a virtual mind. The common support is the keyword cognition which, at first, is understood as a simple machine-learning loop process and because of conflictuality between collective and individual subjective representations will lead to define finally, thanks to negation, a decision mechanism supported by virtual awareness. To be aware is a sense-making process annihilating virtual collective forces attracting a virtual agent towards a virtual collective mind having a virtual mass. That way, quantum physics and relativity can illustrate our discourse according to the following goal: how a machine can decide or equivalently are we able to define a decision algorithm which always terminates?
To do so, we must relax the deductive burden since we have to deal seriously with infinity causing unsolvable termination issues for proof systems when a decision is implemented as a proof. We prefer to investigate on hypercomplex representations of a decision to propose a sketch of the decision process, to represent both causality and acausality (as a conjugated version of causality) and to recover that way some symmetries able to encode a smooth negation with infinite precision applying on coherent spaces.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Wave-particle duality is the concept in quantum mechanics that every particle or quantum entity may be described as either a particle or a wave. Each separated representation cannot fully explains the phenomena of light, but together they do.
- 2.
In quantum mechanics, wave function collapse occurs when a wave function, initially in a superposition of several eigenstates, reduces to a single eigenstate due to interaction with the external world.
- 3.
A topological space \(X\) is Hausdorff if for every \(x,y \, \in \, X, x \, \not = \, y\), there are open neighbourhoods \(\mathcal{O}_{x} \, \ni \, {x}, \mathcal{O}_{y} \, \ni \, {y}\) so that \(\mathcal{O}_{x} \, \cap \, \mathcal{O}_{y} = \emptyset \).
- 4.
Negentropy of a dynamically ordered sub-system as the specific entropy deficit of the ordered sub-system relative to its surrounding chaos.
- 5.
The nilpotent process thus fixes primarily on conservation, rather than nonconservation. It says that mass-energy is a conserved quantity, and that it can, therefore, be described uniquely in mathematical terms.
- 6.
A quadratic form is said to be isotropic if there is a non-zero vector on which the norm evaluates to zero.
- 7.
In statistics, the frequency of an event \(_{*}\nu \) is the number of times it is counted in an experiment.
- 8.
The tesseract is the four-dimensional analog of the cube where motion in the fourth dimension represents the transformations of the cube through time.
References
Hiley, B.J.: Non-commutative geometry, the Bohm interpretation and the mind-matter relationship, vol. 573 (2001)
Rowlands, P.: Zero to Infinity: The Foundations of Physics. World Scientific, Singapore (2007)
Bartheye, O., Chaudron, L.: Algebraic modeling of the causal break and representation of the decision process in contextual structures. In: Lawless, B. (ed.) Computation Contexts. CRC (2018)
Blute, R.: Linear topology, hopf algebras and \(\ast \)-autonomous categories. Research report (1993)
Chaudron, L.: Simple structures and complex knowledge. Habilitation thesis, Onera, Toulouse, FR (2005)
Clifford, W.K.: Mind 3 (1878)
Coxeter, H.S.M.: Regular Polytopes. Dover Publications, New York (1973)
Knus, M., Merkurjev, A., Rost, M., Tignol, J.: The Book of Involutions. AMS, Providence (1998)
Mahulikar, S., Herwig, H.: Exact thermodynamic principles for dynamic order existence and evolution in chaos. Chaos, Solitons Fractals 41, 1939–1948 (2009)
Majid, S.: Foundations of Quantum Group Theory. Cambridge University Press, Cambridge (1995)
Wigner, E.: Physics and the explanation of life. Found. Phys. 1, 35–45 (1970). https://doi.org/10.1007/BF00708653
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Bartheye, O., Chaudron, L. (2021). Principles of an Accurate Decision and Sense-Making for Virtual Minds. In: Lawless, W.F., Llinas, J., Sofge, D.A., Mittu, R. (eds) Engineering Artificially Intelligent Systems. Lecture Notes in Computer Science(), vol 13000. Springer, Cham. https://doi.org/10.1007/978-3-030-89385-9_16
Download citation
DOI: https://doi.org/10.1007/978-3-030-89385-9_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-89384-2
Online ISBN: 978-3-030-89385-9
eBook Packages: Computer ScienceComputer Science (R0)