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- W1533201112 abstract "This paper describes the use of diagrams as pictorial, non analogical representations in mathematics. Three interpretations of diagrams, of increasing complexity, are discussed: commutative diagrams, exact sequences, universal diagrams. Typically, reasoning with diagrams (in the case under scrutiny, geometrical structures of arrows) involves three steps: representation, construction, inspection and interpretation. We show how reasoning with diagrams makes a metaphoric use of the properties of the representations and suggest how extensions of the existing paradigms can enrich the emergent domain of hybrid reasoning." @default.
- W1533201112 created "2016-06-24" @default.
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- W1533201112 date "1999-01-01" @default.
- W1533201112 modified "2023-09-24" @default.
- W1533201112 title "Reasoning with Diagrams: The Semantics of Arrows" @default.
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- W1533201112 doi "https://doi.org/10.1007/978-3-540-48765-4_27" @default.
- W1533201112 hasPublicationYear "1999" @default.
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