Mathematical psychology applies mathematical modeling to perceptual, cognitive and motor processes, establishing quantifiable relationships between the characteristics of a stimulus and the resulting behavior. The field spans five major research areas: learning and memory, perception, choice and decision-making, language and thinking, and measurement itself.
Facts
Central QuestionWhether psychological phenomena, especially perceptual, cognitive and motor processes, can be captured in formal mathematical models and law-like quantitative rules rather than only qualitative description. 1 Key DebateMathematical psychology is not to be confused with theoretical psychology: the latter is concerned with the conceptual understanding of psychological phenomena, often through verbal reasoning which lacks mathematical formalism; the former is concerned with the formal modeling of these phenomena, often lacking conceptual explanation. 1 Connections
Associated With
His information-processing capacity work helped found mathematical and cognitive modeling approaches in psychology.
Sources
1. Wikipedia: Mathematical psychology
Wikimedia FoundationLead section, opening sentence
Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior (in practice often constituted by task performance).
Lead section, second paragraph
Mathematical psychology is not to be confused with theoretical psychology: the latter is concerned with the conceptual understanding of psychological phenomena, often through verbal reasoning which lacks mathematical formalism; the former is concerned with the formal modeling of these phenomena, often lacking conceptual explanation. The relationship is analogous to that between theoretical and mathematical physics, where the primary distinction is the standard of rigor -- the one prioritizes domain concepts, while the other prioritizes formality -- but both are in service of domain understanding.
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