Abstract:We advance a theory of the representational role of Euclidean diagrams according to which they are samples of co-exact features. We contrast our theory with two other conceptions, the instantial conception and Macbeth's iconic view, with respect to how well they accommodate three fundamental constraints on theories of the Euclidean diagrammatic practice-(i) that Euclidean diagrams are used in proofs whose results are wholly general, (ii) that Euclidean diagrams indicate the co-exact features that the geometer … Show more
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