Lapin, Yair (2021) Irreversibility and Complexity. [Preprint]
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Abstract
Complexity is a relatively new field of study that is still heavily influenced by philosophy. However, with the advent of modern computing, it has become easier to conduct thorough investigations of complex systems using computational simulations. Despite significant progress, there remain certain characteristics of complex systems that are difficult to comprehend. To better understand these features, information can be applied using simple models of complex systems. The concepts of Shannon's information theory, Kolgomorov complexity, and logical depth are helpful in this regard. Computational mathematical models based on recursive processes, recursive functions, and information in functions offer new insights into complexity by exploring its connection with irreversibility and the loss of information. Through these models, it is possible to see complexity as a transformation of input information through algorithmic computation, with time, logical depth, and information loss serving as key factors in understanding the process.
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| Item Type: | Preprint | ||||||
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| Keywords: | complexity , information , mathematics foundation, computing theory, complex systems, logics mathematics, algorithm complexity | ||||||
| Subjects: | Specific Sciences > Complex Systems Specific Sciences > Computation/Information Specific Sciences > Computer Science Specific Sciences > Mathematics |
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| Depositing User: | mr Yair Lapin | ||||||
| Date Deposited: | 27 Mar 2023 17:14 | ||||||
| Last Modified: | 27 Mar 2023 17:14 | ||||||
| Item ID: | 21940 | ||||||
| DOI or Unique Handle: | 10.13140/RG.2.2.29616.64002 | ||||||
| Subjects: | Specific Sciences > Complex Systems Specific Sciences > Computation/Information Specific Sciences > Computer Science Specific Sciences > Mathematics |
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| Date: | 10 December 2021 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/21940 |
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