SET THEORY APPLIED IN TECHNOLOGICAL PARADIGMS AND TRAJECTORIES
DOI:
https://doi.org/10.61841/v1xsw114Abstract
The purpose of this study is to integrate set theory as a novel mathematical framework into the field of evolutionary and neo-Schumpeterian economics, to analyse the intricate web of influences on technological paradigms. By employing the language of set theory, we can delineate the technological paradigm and its various institutional and knowledge-based supportive forces as subsets of the Universal Set of the Paradigm. With the universal set of a paradigm and the subsets within it, the aim is to provide a framework to represent a paradigm and its nuances, as outlining the spectrum of interactions between subsets. Importantly, while this paper provides a structured approach to paradigm analysis, the adaptability of this tool also enables the creation of other scenarios, encouraging further application to different technological analyses. The aim is to offer a simple mathematical tool to enhance the theoretical and practical understanding of technological evolution, facilitating an analysis of different prisms of paradigm and trajectories concepts.
References
Abu, C., Francis, M., Herbst, N., Milne, G., Brown, G. "Integrated 3D seismic interpretation and depth imaging reveals carbonate and evaporite stratigraphy in the Kwanza Basin." 75th EAGE Conference & Exhibition incorporating SPE EUROPEC 2013. European Association of Geoscientists & Engineers, 2013
Alsalmi, O. & Dossary, S. "Industry First Quantum-Based Seismic Attribute." 84th EAGE Annual Conference & Exhibition. Vol. 2023. No. 1. European Association of Geoscientists & Engineers, 2023.
Attrey, A., Lesher, M., and Lomax, C., "The role of sandboxes in promoting flexibility and innovation in the digital age", OECD iLibrary, 2020
BEZZINA, J., & TERRAB, M., "Impacts of new technologies on regulatory regimes." Technological convergence and regulation, 2005
Blais, L.E. & Wagner, W.E., “Emerging science, adaptive regulation, and the problem of rulemaking ruts," Tex. L. Rev., 2007.
Brown, P., Evans, M., Hunt, D., Mcintosh, J., Pender, B., Ramagge, J., “SETS AND VENN DIAGRAMS, A guide for teachers—Years 7-8”, Australian Mathematical Science Institute, Number and Algebra, June 2011, <https://www.amsi.org.au/teacher_modules/pdfs/Sets_and_venn_diagrams.pdf
Chen, Bao Yan, et al., "Testing technology of subsea Christmas Tree." Advanced Materials Research 591, 2012
Dosi, G. “Technological paradigms and technological trajectories: A suggested interpretation of the determinants and directions of technical change," Research Policy, V. 11, I. 3, p. 147-162, 1982.
Elijah, O., Ling, P. A., Rahim, S. K. A., Geok, T. K., Arsad, A., Kadir, E. A.,... & Abdulfatah, M. Y., “A survey on industry 4.0 for the oil and gas industry: Upstream sector," IEEE Access, V.9, 2021.
Fainstein, R., Krueger, A., Mohriak, W. U., "Ultra-deepwater seismic plays offshore Brazil—Future drilling off Santos and Campos Basins." Interpretation 7, n.4, 2019.
Fraenkel, A. A.; Bar-Hillel, Y.; Levy, A. “Foundations of set theory," V. 67, ed. 2nd, Elsevier, 1973.
Hrbacek, K. & Jech, T. “Introduction to set theory, revised and expanded”, Crc Press, 2017
Hill, M. D., Cruickshank, D.B., MacFarlane, I. A., "Perspective on ceramic materials for 5G wireless communication systems." Applied Physics Letters 118, n.12, 2021
Hudec, M. R. & Jackson, M.P.A., "Terra infirma: Understanding salt tectonics, Earth-Science Reviews.", V. 82, Issues 1–2, 2007.
Islam, J., Negash, B. M., Vasant, P. M., Hossain, N. I., Watada, J. "Quantum-based analytical techniques on the tackling of well placement optimization." Applied Sciences 10, n. 19, 2020
Keilen H. Norwegian Petroleum Technology: A Success Story. Norwegian Academy of Technological Sciences; 2005
Kemp, R., Schot, J., & Hoogma, R. “Regime shifts to sustainability through processes of niche formation: the approach of strategic niche management”, Technology analysis & strategic management, V. 10, Issue 2, 1998
Kumar, A. "Quantum Computation for End-to-End Seismic Data Processing with Its Computational Advantages and Economic Sustainability." Abu Dhabi International Petroleum Exhibition and Conference, SPE, 2022.
Li, K.; Chung-Davidson, Y.-W.; Bussy, U.; Li, W. “Recent Advances and Applications of Experimental Technologies in Marine Natural Product Research”, Marine Drugs, 13, no. 5, 2015
Linsky, B. “The Resolution of Russell’s Paradox in ‘Principia Mathematica’,” Philosophical Perspectives, vol. 16, p. 395–417, 2002
Lundvall, B-Åke & Johnson, B. “The Learning Economy. Journal of Industry Studies”, V. 1, N. 2, p. 23-42, 1994.
Mandel, G. N. “Legal Evolution in Response to Technological Change”, The Oxford Handbook of Law, Regulation and Technology, Sept. 2016
Mitra, A. "Adapting the Regulation of Spectrum and Telecom Networks to 5G Technology—A Cross Country Analysis." International Working Conference on Transfer and Diffusion of IT., Springer Nature Switzerland, 2023
Morris S. “Chapter 1: Cantor and the Early Development of Set Theory. In: Quine, New Foundations, and the Philosophy of Set Theory”, Cambridge University Press; p. 13-32, 2018
Nelson, R.R., and Winter, S.G., “An Evolutionary Theory of Economic Change," Harvard University Press, Cambridge, MA, 1982.
Ortiz Neto, J. B., & Shima, W. T., "Trajetórias tecnológicas no segmento offshore: ambiente e oportunidades." Revista de Economia Contemporânea, 12, 2008
Prize Announcement. "The Nobel Prize in Chemistry 2019", Press Release, October 2019 <https://www.nobelprize.org/uploads/2019/10/press-chemistry-2019-2.pdf>
Rieffel, E., & Polak, W., "An introduction to quantum computing for non-physicists." ACM Computing Surveys (CSUR) 32, n. 3, 2000
Santos, I., Dam, P., Arantes, P., Raposo, A., and Soares, L., "Simulation Training in Oil Platforms," In 2016 XVIII Symposium on Virtual and Augmented Reality (SVR), IEEE, 2016.
Schot, J., & Geels, F. W., “Niches in evolutionary theories of technical change: A critical survey of the literature," Journal of Evolutionary Economics, V. 17, 2007.
Schaefer, S. P., "Save Our Sandbox: A Perspective Approach to Big Player Participation in the Unlicensed Spectrum Space." 2016.
Skopljak, N., “Petrobras and Shearwater set up partnership to'reshape’ seismic exploration," Offshore Energy, 22 November 2023.
Stuart, T. E., & Podolny, J. M., “Local search and the evolution of technological capabilities," Strategic Management Journal, V. 17, Issue S1, 1996.
Teodoro, R., “Shearwater Partners with Petrobras for Seismic Tech," Rigzone Staff, 24th November 2023.
Wiener, J. B., "The regulation of technology, and the technology of regulation." Technology in Society, V.26, Issue 2-3, 2004.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 International Journal of Advance Research in Education & Literature (ISSN 2208-2441)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Terms & Condition
Submission -
Author can submit the manuscript through our online submission process or email us at the designated email id in contact details.
The other mode of submission not accepted than online and email.
Before submission please read the submission guidelines.
NN Publication accepts only article submitted in pdf/doc/docx/rtf file format. Another format except given file formats will no be considered .
Author will be responsible for the error mistakes in the submission files. The minor changes can be done without any cost after publication. But for major changes NN Publication may charges you the editing charges.
Publication (Online) -
The online publication is scheduled on last date of every month, but it can be delayed by 24 to 48 hours due to editorial process if huge number of articles comes to publish in single issue.
Automatic notificatation email will be sent to the all users on publication of an issue, so its author’s duty to check their email inbox or SPAM folder to get this notification.
After publication of article author can not withdraw their article.
If editor’s found any issue after publication of article then the NN Publication have the authority to remove the article from online website.
No refund will be provided after online publication of article.
Publication (Print) -
The print copy publication are sent as per the author’s request after 2 weeks of online publication of that issue.
NN Publication will ship the article by India Post and provide the consignment number on dispatch of print copy.
NN Publication follows all the guidelines of delivery provided by IndiaPost and hence not responsible for delay in delivery due to any kind of reasons.
Refund of hard copy will not be provided after dispatch or print of the journal.
NN Publication will be responsible for raise a complain if there is any issue occurs in delivery, but still will not be responsible for providing the refund.
NN Publication will be responsible to resend the print copy only and only if the print copy is lost or print copy is damaged in delivery / or there is delay more than 6 months.
According to India Post the delivery should be completed with in 1-3 weeks after dispatch of articles.
Privacy Policy-
NN Publicationl uses the email ids of authors and editors and readers for sending editorial or publication notification only, we do not reveal or sell the email ids to any other website or company.
