HSE University, Moscow, Russian Federation.
European University Cyprus, Nicosia, Cyprus; Minjiang University, Fuzhou, China.
Biosystems. 2024 Nov;245:105312. doi: 10.1016/j.biosystems.2024.105312. Epub 2024 Aug 26.
The intersection of mathematical cognition, metacognition, and advanced technologies presents a frontier with profound implications for human learning and artificial intelligence. This paper traces the historical roots of these concepts from the Pythagoreans and Aristotle to modern cognitive science and explores their relevance to contemporary technological applications. We examine how the Pythagoreans' view of mathematics as fundamental to understanding the universe and Aristotle's contributions to logic and categorization have shaped our current understanding of mathematical cognition and metacognition. The paper investigates the role of Boolean logic in computational processes and its relationship to human logical reasoning, as well as the significance of Bayesian inference and fuzzy logic in modelling uncertainty in human cognition and decision-making. We also explore the emerging field of Chemical Artificial Intelligence and its potential applications. We argue for unifying mathematical metacognition with advanced technologies, including artificial intelligence and robotics, while identifying the multifaceted benefits and challenges of such unification. The present paper examines essential research directions for integrating cognitive sciences and advanced technologies, discussing applications in education, healthcare, and business management. We provide suggestions for developing cognitive robots using specific cognitive tasks and explore the ethical implications of these advancements. Our analysis underscores the need for interdisciplinary collaboration to realize the full potential of this integration while mitigating potential risks.
数学认知、元认知和先进技术的交叉点为人类学习和人工智能带来了具有深远意义的前沿领域。本文追溯了这些概念从毕达哥拉斯学派和亚里士多德到现代认知科学的历史根源，并探讨了它们与当代技术应用的相关性。我们考察了毕达哥拉斯学派将数学视为理解宇宙的基础的观点以及亚里士多德对逻辑和分类的贡献如何塑造了我们当前对数学认知和元认知的理解。本文研究了布尔逻辑在计算过程中的作用及其与人类逻辑推理的关系，以及贝叶斯推理和模糊逻辑在建模人类认知和决策中的不确定性的重要性。我们还探讨了化学人工智能这一新兴领域及其潜在应用。我们主张将数学元认知与人工智能和机器人等先进技术统一起来，同时确定这种统一的多方面的好处和挑战。本论文研究了整合认知科学和先进技术的重要研究方向，讨论了在教育、医疗保健和商业管理方面的应用。我们提供了使用特定认知任务开发认知机器人的建议，并探讨了这些进展的伦理含义。我们的分析强调了需要进行跨学科合作，以充分发挥这种整合的潜力，同时减轻潜在风险。
