Understanding the connection between cognitive representations of language meaning and formal mathematical structures is like trying to solve a complex puzzle. It’s as if we’re searching for the missing piece that brings together two different worlds. On one side, we have the abstract and logical formal structures of natural language meaning, while on the other side, we have the grounded and sensory-motor-based cognitive representations. It’s fascinating how these contrasting aspects can somehow merge and work in harmony. In the field of cognitive science, researchers have made progress in exploring this enigma, but many questions remain unanswered. This article proposes possible ways to unify these representations by formulating general frameworks and suggests three criteria for testing their equivalence. To truly understand how meaning is formed in our brains, we need to investigate the complex interplay between formal linguistic structures and neuronal population codes. Are they truly equivalent? How do they interact within the dynamic processes of the brain? Exploring the full article will bring us closer to uncovering these captivating mysteries.
Abstract
Natural language meaning has properties of both (embodied) cognitive representations and formal/mathematical structures. But it is not clear how they actually relate to one another. This article argues that how properties of cognitive representations and formal/mathematical structures of natural language meaning can be united remains one of the puzzles in cognitive science. That is primarily because formal/mathematical structures of natural language meaning are abstract, logical, and truth-conditional properties, whereas cognitive/conceptual representations are embodied and grounded in sensory-motor systems. After reviewing the current progress, this work offers, in outline, the general formulations that show how these two different kinds of representations for semantic structures can (potentially) be unified and also proposes three desiderata for testing, in brain dynamics, the mathematical equivalence between formal symbolic representations (and their transitions), and neuronal population codes (and their transitions).
Dr. David Lowemann, M.Sc, Ph.D., is a co-founder of the Institute for the Future of Human Potential, where he leads the charge in pioneering Self-Enhancement Science for the Success of Society. With a keen interest in exploring the untapped potential of the human mind, Dr. Lowemann has dedicated his career to pushing the boundaries of human capabilities and understanding.
Armed with a Master of Science degree and a Ph.D. in his field, Dr. Lowemann has consistently been at the forefront of research and innovation, delving into ways to optimize human performance, cognition, and overall well-being. His work at the Institute revolves around a profound commitment to harnessing cutting-edge science and technology to help individuals lead more fulfilling and intelligent lives.
Dr. Lowemann’s influence extends to the educational platform BetterSmarter.me, where he shares his insights, findings, and personal development strategies with a broader audience. His ongoing mission is shaping the way we perceive and leverage the vast capacities of the human mind, offering invaluable contributions to society’s overall success and collective well-being.