Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2209 2022 2022 Mathematical Concept Exploration Using Turiyam Cognition Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh 530045, India Prem Kumar Singh Recent time Turiyam set is considered as one of the prominent tool to explore unknown or undefined objects. The elementary school is one of the suitable examples where child explore each of the unknown objects. In this stage the child develop its Turiyam cognition based on its consciousness.  It can be characterized as true learning (t), false learning, (f), uncertain learning (i) and last liberal or unknown or not required at this stage which can be explored later (l). The child refused to learn any topic can be found via 4-(t+i+f+l) in case of four independent events otherwise 1-(t+i+f+l) in case of dependent events. These unknown or liberal examples which include child quantum cognition need Turiyam logic. This paper tried to explore those concepts and examples in this paper. 2023 2023 08 22 10.54216/GJMSA.090101 https://www.americaspg.com/articleinfo/33/show/2209