The notion of a universal semantic cognitive map is introduced as a general indexing space for semantics, useful to reduce semantic relations to geometric and topological relations. As a first step in designing the concept, the notion of semantics is operationalized in terms of human subjective experience and is related to the concept of spatial position. Then synonymy and antonymy are introduced in geometrical terms. Further analysis building on previous studies of the authors indicates that the universal semantic cognitive map should be locally low-dimensional. This essay ends with a proposal to develop a metric system for subjective experiences based on the outlined approach. We conclude that a computationally defined universal semantic cognitive map is a necessary tool for the emerging new science of the mind: a scientific paradigm that includes subjective experience as an object of study.2009 Wiley Periodicals, Inc. Complexity 15: 12-18, 2010 INTRODUCTION I magine that in a remote future all meaningful information is laid out in some abstract space based on its semantics. Let us call this space the universal semantic space, and the entire distribution of available chunks* of information in it (which may look like stars in the galaxy on the cover illustration) the universal semantic cognitive map. The idea may sound intuitively familiar, as spatial analogies play a prominent role in human cognition and memory [1,2]. However, the notion of a universal semantic cognitive map goes beyond mere indexing or analogy. The map in and by itself can be used as a language and a complete representation of all information that is ''indexed'' on it. Indeed, if each precise map location uniquely determines the associated meaning then, literally, one point of this map should be worth thousands of words. This representation of information, however, would make no practical sense, if map coordinates were assigned to chunks at random. Instead, as for a road atlas, a useful map would enable semantic inferences by virtue of geometric and topological inferences. Therefore, we assume that: If this hypothetical construct is ever to materialize, it will in fact constitute a General Theory of Everything, once a dream of a great-grandfather of Ijon Tichy (a Stanislaw Lem's character). In comparison, we have a rather modest ambition to outline a more precise notion of this challenge from epistemological and mathematical perspectives. In this essay, we first address the critical question of how to measure semantics practically. Next, we introduce key distinctions and definitions of semantic maps. Then, we illustrate these concepts with a simplified example. Finally, we end with a discussion of the potential impact that semantic map may have on the evolution of science and the progress of humankind.
COGNITIVE-PSYCHOLOGICAL AND COGNITIVE-NEUROSCIENTIFIC UNDERPINNINGSIn this work, we treat semantics as potential experience of a human subject. In general, the notion of semantics and its definition have been a subject of perpetual philosoph...