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HOW MINDS THEORIZE: II. Concept Formation

January 31, 2014

Fifty years of Functorial Semantics


Natural structure with respect to a given doctrine is thus a precise mathematical model for a very general scientific process of concept formation.

Observing a domain of individuals that form a collective due to definite mutual relations, and recording these observations as structure that varies in a natural way with respect to those mutual relations, leads to the emergence of general concepts that are abstracted from all the individuals, but that may then be applicable to a larger population, and in terms of which a more precise analysis of the individuals becomes possible.


F. William Lawvere, 2013

P.S. Cognitive science is a mess… convenient and conducive to full employment [of cognitive neuroscientists].

Conceptual Mathematics informs cognitive science.

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