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Particulars to General Concepts

Name: Particulars to General Concepts
Creator: F. William Lawvere
Keywords: Particular, Algebra, Naturality, Concept, Functorality, Structure, Theory, Syntax, Adjointness, General

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 English Publisher:Zenodo

Authors: F. William Lawvere;

doi: 10.5281/zenodo.7087937 , 10.5281/zenodo.7087938

Particulars to General Concepts

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Abstract

The leap from a family of particulars to a general concept--involving functorality and naturality--is the adjoint to semantics and is called extraction of "structure" (in the general, rather than the particular, sense of the word).

Functorial Semantics of Algebraic Theories and Some Algebraic Problems in the Context of Functorial Semantics of Algebraic Theories http://tac.mta.ca/tac/reprints/articles/5/tr5.pdf

Related Organizations

State University of New York at Potsdam
United States

Keywords

Particular, Algebra, Naturality, Concept, Functorality, Structure, Theory, Syntax, Adjointness, General, Functorial Semantics, Model, Semantics

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