Mathematical Foundations of Discrete and Functional Systems with Strong and Weak Anticipations

Dubois, Daniel M.

doi:10.1007/978-3-540-45002-3_7

Cited by 103 publications

(87 citation statements)

References 6 publications

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“…These models are based on situations regularities, inducing short-term predictions about the occurrence of the onset signal. Dubois [2] defined this local, model-based anticipation as "weak anticipation". This kind of anticipatory processes seems however unable to explain the synchronization between an agent and a more complex environment, i.e.…”

Section: On Strong Anticipationmentioning

confidence: 99%

“…the synchronization with an environment containing a complex structure. Dubois [2] suggests in that case the presence of a strong anticipatory process, based not on a local scale but rather on a global coordination of the entire system (agent + environment) on multiple time scales. Strong anticipation is a consequence of the coupling between the agent and the environment rather than predictions of the environment's states by the model constructed by the agent [3].…”

Section: On Strong Anticipationmentioning

confidence: 99%

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Strong anticipation: complexity matching in interpersonal coordination

2012

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Section: On Strong Anticipationmentioning

confidence: 99%

Section: On Strong Anticipationmentioning

confidence: 99%

Strong anticipation: complexity matching in interpersonal coordination

2012

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“…The organized interfacing of these two types of expectations has provided room for hyper-incursion and the consequent development of incursive decision rules at the systems level. 39 Decisions first induce a local trajectory in a global space of other possibilities. When this trajectory is reflexively recognized as one among other possible trajectories, decisions can be made the subject of discursive analysis and consequential codification.…”

Section: Resultsmentioning

confidence: 99%

Hyperincursion and the Globalization of the Knowledge-Based Economy

Leydesdorff¹

2006

AIP Conference Proceedings

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Abstract. In biological systems, the capacity of anticipation-that is, entertaining a model of the system within the system-can be considered as naturally given. Human languages enable psychological systems to construct and exchange mental models of themselves and their environments reflexively, that is, provide meaning to the events. At the level of the social system expectations can further be codified. When these codifications are functionally differentiated-like between market mechanisms and scientific research programs-the potential asynchronicity in the update among the subsystems provides room for a second anticipatory mechanism at the level of the transversal information exchange among differently codified meaning-processing subsystems. Interactions between the two different anticipatory mechanisms (the transversal one and the one along the time axis in each subsystem) may lead to co-evolutions and stabilization of expectations along trajectories. The wider horizon of knowledgeable expectations can be expected to meta-stabilize and also globalize a previously stabilized configuration of expectations against the axis of time. This recursive incursion on the incursive dynamics of expectations can be modeled using hyper-incursion. The knowledgebased subdynamic at the global level which thus emerges, enables historical agents to inform the reconstruction of previous states and to co-construct future states of the social system, for example, in a techno-economic co-evolution.

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“…as perceivers, learners, modellers and actors. This topic is related to computing anticipatory systems for which the concepts of incursion and hyperincursion were defined [2,3,4], in relation to weak and strong anticipations [5].…”

Section: Introductionmentioning

confidence: 99%

“…For an artificial anticipator, it is possible to define weak and strong anticipations [5], because man is the designer of the artificial systems. For a natural anticipator, man is only able to construct a model, which will be always a weak representation of this.…”

Section: Introductionmentioning

confidence: 99%

Introduction to the Natural Anticipator and the Artificial Anticipator

Dubois

2010

AIP Conference Proceedings

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Abstract. This short communication deals with the introduction of the concept of anticipator, which is one who anticipates, in the framework of computing anticipatory systems. The definition of anticipation deals with the concept of program. Indeed, the word program, comes from "pro-gram" meaning "to write before" by anticipation, and means a plan for the programming of a mechanism, or a sequence of coded instructions that can be inserted into a mechanism, or a sequence of coded instructions, as genes or behavioural responses, that is part of an organism. Any natural or artificial programs are thus related to anticipatory rewriting systems, as shown in this paper. All the cells in the body, and the neurons in the brain, are programmed by the anticipatory genetic code, DNA, in a low-level language with four signs. The programs in computers are also computing anticipatory systems. It will be shown, at one hand, that the genetic code DNA is a natural anticipator. As demonstrated by Nobel laureate McClintock [8], genomes are programmed. The fundamental program deals with the DNA genetic code. The properties of the DNA consist in self-replication and selfmodification. The self-replicating process leads to reproduction of the species, while the self-modifying process leads to new species or evolution and adaptation in existing ones. The genetic code DNA keeps its instructions in memory in the DNA coding molecule. The genetic code DNA is a rewriting system, from DNA coding to DNA template molecule. The DNA template molecule is a rewriting system to the Messenger RNA molecule. The information is not destroyed during the execution of the rewriting program. On the other hand, it will be demonstrated that Turing machine is an artificial anticipator. The Turing machine is a rewriting system. The head reads and writes, modifying the content of the tape. The information is destroyed during the execution of the program. This is an irreversible process. The input data are lost.

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Mathematical Foundations of Discrete and Functional Systems with Strong and Weak Anticipations

Cited by 103 publications

References 6 publications

Strong anticipation: complexity matching in interpersonal coordination

Strong anticipation: complexity matching in interpersonal coordination

Hyperincursion and the Globalization of the Knowledge-Based Economy

Introduction to the Natural Anticipator and the Artificial Anticipator

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