The concept of structural information and possible applications

Main Article Content

Andrzej Bielecki
Ryszard Stocki

Abstract

In this paper, the concept of structural information is presented. The mathematical foundation of the concept is put forward, and the nature of information encoded in a structure is studied. A method for calculating the amount of structural information is introduced. An application to the analysis of cognitive maps is also presented and discussed.

Article Details

How to Cite
Bielecki, A., & Stocki, R. (2023). The concept of structural information and possible applications. Philosophical Problems in Science (Zagadnienia Filozoficzne W Nauce), (75), 157–183. https://doi.org/10.59203/zfn.75.654
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Articles

References

Bandura, A., 1977. Social Learning Theory. Englewood Cliffs: Prentice Hall.

Barreiro, C. et al., 2020. The third construct of the universe: Information. Foundations of Science, 25(2), pp.425–440. https://doi.org/10.1007/s10699-019-09630-7.

Barton, A., Eussen, J., Lardjane, S. and Nuutinen, A.M., 2016. Mind maps and concept maps in Education: Draft Version. University Bretagne Sud. Available at: <http://web.univ-ubs.fr/lmba/lardjane/draft-1.pdf> [visited on 16 February 2024].

Bateson, G., 1951. Information and codification: philosophical approach. In: J. Ruesch and G. Bateson, eds. Communications: The Social Matrix of Psychiatry. New York: Norton, pp.168–211.

Berge, C., 1989. Hypergraphs: Combinatorics of Finite Sets, North-Holland mathematical library, 45. Amsterdam; New York: North Holland.

Bielecki, A., 2015. The general entity of life: a cybernetic approach. Biological Cybernetics, 109(3), pp.401–419. https://doi.org/10.1007/s00422-015-0652-8.

Bielecki, A., 2016. Cybernetic analysis of the phenomenon of life. Philosophical Problems in Science (Zagadnienia Filozoficzne w Nauce), (61), pp.133–164. Available at: <https://zfn.edu.pl/index.php/zfn/article/view/361> [visited on 17 February 2024].

Bielecki, A., 2021. The systemic concept of contextual truth. Foundations of Science, 26(4), pp.807–824. https://doi.org/10.1007/s10699-020-09713-w.

Bielecki, A. and Nieszporska, S., 2019. Analysis of healthcare systems by using systemic approach. Complexity, 2019, pp.1–12. https://doi.org/10.1155/2019/6807140.

Bielecki, A. and Schmittel, M., 2022. The information encoded in structures: Theory and application to molecular cybernetics. Foundations of Science, 27(4), pp.1327–1345. https://doi.org/10.1007/s10699-022-09830-8.

Bielecki, A. and Stocki, R., 2010. Systems theory approach to the health care organization on national level. Cybernetics and Systems, 41(7), pp.489–507. https://doi.org/10.1080/01969722.2010.511533.

Boniolo, G., D’Agostino, M., Piazza, M. and Pulcini, G., 2023. Molecular biology meets logic: Context-sensitiveness in focus. Foundations of Science, 28(1), pp.307–325. https://doi.org/10.1007/s10699-021-09789-y.

Brysson, J., Ackermann, F., Eden, C. and Finn, C., 2004. Visible Thinking: Unlocking Causal Mapping for Practical Business Results. Ed. by J. Bryson.

Burgin, M., 2011. Information in the structure of the world. Information Theories and Applications, 18(1), pp.16–32. Available at: <https://www.semanticscholar.org/paper/INFORMATION-IN-THE-STRUCTURE-OF-THE-WORLD-Burgin/c0a122a3c6fc62fc394e0e1e90003e12eed47bf0> [visited on 17 February 2024].

Carnap, R., 1928. Der logische Aufbau der Welt. Berlin-Schlachtensee: Weltkreis-Verlag.

Chaib-draa, B., 2002. Causal maps: theory, implementation, and practical applications in multiagent environments. IEEE Transactions on Knowledge and Data Engineering, 14(6), pp.1201–1217. https://doi.org/10.1109/TKDE.2002.1047761.

Davies, P., 2019. The Demon in the Machine: How Hidden Webs of Information Are Solving the Mystery of Life. Chicago, IL: University of Chicago Press. Available at: <https://press.uchicago.edu/ucp/books/book/chicago/D/bo45084244.html> [visited on 17 February 2024].

Ebeling, W. and Feistel, R., 2015. Selforganization of Symbols and Information. In: G. Nicolis and Vasileios Basios, eds. Chaos, Information Processing and Paradoxical Games. World Scientific, pp.141–184. https://doi.org/10.1142/9789814602136_0009.

Gopnik, A., Glymour, C. et al., 2004. A theory of causal learning in children: Causal maps and Bayes nets. Psychological Review, 111(1), pp.3–32. https://doi.org/10.1037/0033-295X.111.1.3.

Gopnik, A., Sobel, D.M., Schulz, L.E. and Glymour, C., 2001. Causal learning mechanisms in very young children: Two-, three-, and four-year-olds infer causal relations from patterns of variation and covariation. Developmental Psychology, 37(5), pp.620–629. https://doi.org/10.1037/0012-1649.37.5.620.

Hellerman, L., 2006. Representation of living forms. Biology and Philosophy, 21(4), pp.537–552. https://doi.org/10.1007/s10539-005-9009-3.

Hellerman, L., 2016. The animate – inanimate relationship. International Journal of General Systems, 45(6), pp.734–746. https://doi.org/10.1080/03081079.2015.1123708.

Iasiello, M. et al., 2023. What’s the Difference Between Measures of Wellbeing, Quality of Life, Resilience, and Coping? An Umbrella Review and Concept Map of 155 Measures of Positive Mental Health. (preprint). PsyArXiv. https://doi.org/10.31234/osf.io/s96mr.

Kauffman, S.A., 2019. A World Beyond Physics: The Emergence and Evolution of Life. New York, NY: Oxford University Press.

Kolmogorov, A.N., 1965. Three approaches to the quantitative definition of information. Problemy Pieredachi Informatsii, 1(1), pp.3–11.

Korzeniewski, B., 2001. Cybernetic formulation of the definition of life. Journal of Theoretical Biology, 209(3), pp.275–286. https://doi.org/10.1006/jtbi.2001.2262.

Kruglansky, A., 1980. Lay epistemologic process and contents: Another look at attribution theory. Psychological Review, 87(1), pp.70–87. Available at: <https://www.academia.edu/7445739/Kruglanski_A_1980_Lay_epistemologic_process_and_contents_Another_look_at_attribution_theory> [visited on 19 February 2024].

Krzanowski, R., 2020a. Ontological information. investigation into the properties of ontological information. Praca doktorska. Kraków. Available at: <http://bc.upjp2.edu.pl/dlibra/docmetadata?id=5024> [visited on 17 February 2024].

Krzanowski, R., 2020b. What is physical information? Philosophies, 5(2), pp.9–22. https://doi.org/10.3390/philosophies5020010.

Krzanowski, R., 2022. Ontological Information: Information in the Physical World. Vol. 13, World Scientific series in information studies. Hackensack, New Jersey: World Scientific. https://doi.org/10.1142/12601.

Krzanowski, R. and Polak, P., 2022. Ontological information—information as physical phenomenon. Proceedings, 81(1), p.21. https://doi.org/10.3390/proceedings2022081021.

Kuhn, D., 1989. Children and adults as intuitive scientists. Psychological Review, 96(4), pp.674–689. https://doi.org/10.1037/0033-295X.96.4.674.

Laukkanen, M., 1998. Conducting Causal Mapping Research: Opportunities and Challenges. In: C. Eden and J.-C. Spender, eds. Managerial and Organizational Cognition: Theory, Methods and Research. London; Thousand Oaks, Calif; New Dehli: Sage, pp.168–191.

Lengyel, D. and Sarah, M.-G., 2023. Capturing ERM Lessons Learned from the Covid -19 Pandemic through Concept Mapping. SSRN Scholarly Paper. Rochester, NY. https://doi.org/10.2139/ssrn.4381266.

Leslie, A.M., 1994. ToMM, ToBY, and Agency: Core architecture and domain specificity. In: L.A. Hirschfeld and S.A. Gelman, eds. Mapping the Mind. 1st ed. Cambridge: Cambridge University Press, pp.119–148. https://doi.org/10.1017/CBO9780511752902.006.

Lindsay, P.H. and Norman, D.A., 1972. Human Information Processing: An Introduction to Psychology. New York; London: Academic Press.

Moon, B.M., Hoffman, R.R., Novak, J. and Canas, A., eds., 2011. Applied Concept Mapping: Capturing, Analyzing, and Organizing Knowledge. Boca Raton, [FL]: CRC Press.

Mścisławski, Ł., 2022. Is information something ontological, or physical or perhaps something else? Some remarks on R. Krzanowski approach to concept of information. Philosophical Problems in Science (Zagadnienia Filozoficzne w Nauce), (73), pp.147–169.

Novak, J.D. and Cańas, A.J., 2006. The origins of the concept mapping tool and the continuing evolution of the tool. Information Visualization, 5(3), pp.175–184. https://doi.org/10.1057/palgrave.ivs.9500126.

Nurse, P., 2008. Life, logic and information. Nature, 454(7203), pp.424–426. https://doi.org/10.1038/454424a.

Nurse, P., 2020. What Is Life? Understand Biology in Five Steps. Ed. by B. Martynoga. Oxford: David Fickling Books.

Offermann, L.R., Kennedy, J.K. and Wirtz, P.W., 1994. Implicit leadership theories: Content, structure, and generalizability. The Leadership Quarterly, 5(1), pp.43–58. https://doi.org/10.1016/1048-9843(94)90005-1.

Polak, P., 2022. Beyond epistemic concepts of information: The case of ontological information as philosophy in science. Philosophical Problems in Science (Zagadnienia Filozoficzne w Nauce), (73), pp.335–345. Available at: <https://zfn.edu.pl/index.php/zfn/article/view/626> [visited on 12 February 2024].

Rescorla, M., 2009. Cognitive maps and the language of thought. The British Journal for the Philosophy of Science, 60(2), pp.377–407. https://doi.org/10.1093/bjps/axp012.

Schroeder, M.J., 2019a. Analogy in terms of identity, equivalence, similarity, and their cryptomorphs. Philosophies, 4(2), p.32. https://doi.org/10.3390/philosophies4020032.

Schroeder, M.J., 2019b. Theoretical Study of the Concepts of Information Defined as Difference and as Identification of a Variety. In: G. Dodig-Crnkovic and M. Burgin, eds. Philosophy and Methodology of Information. Singapore: World Scientific, pp.289–314. https://doi.org/10.1142/9789813277526_0013.

Shannon, C.E., 1948. A mathematical theory of communication. Bell System Technical Journal, 27(3), pp.379–423, 623–656. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x.

Smith, J.M., 2000. The concept of information in biology. Philosophy of Science, 67(2), pp.177–194. Available at: <https://www.jstor.org/stable/188717> [visited on 17 February 2024].

Spirin, A.S., 2002. Ribosome as a molecular machine. FEBS Letters, 514(1), pp.2–10. https://doi.org/10.1016/S0014-5793(02)02309-8.

Stocki, R., n.d. Tacit knowledge in unconventional organizations: Two tools to measure co-operative expertise.

Tadeusiewicz, R., 2010. New trends in neurocybernetics. Computer Methods in Materials Science, 10(1), pp.1–7. Available at: <http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-article-BUJ8-0006-0041> [visited on 17 February 2024].

Tao, M., Wang, S., Chen, H. and Wang, X., 2021. Information space of multi-sensor networks. Information Sciences, 565, pp.128–145. https://doi.org/10.1016/j.ins.2021.02.059.

Tolman, E.C., 1948. Cognitive maps in rats and men. Psychological Review, 55(4), pp.189–208. https://doi.org/10.1037/h0061626.

Vosniadou, S., 1996. Towards a revised cognitive psychology for new advances in learning and instruction. Learning and Instruction, 6(2), pp.95–109. https://doi.org/10.1016/0959-4752(96)00008-4.

Voss, J.F. et al., 1986. Informal reasoning and subject matter knowledge in the solving of economics problems by naive and novice individuals. Cognition and Instruction, 3(4), pp.269–302. Available at: <https://www.jstor.org/stable/3233587> [visited on 17 February 2024].