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Vision as Knowledge

Elements

This flow traces the book's theme that visual form can organize preserve and transmit abstract knowledge.

increasingupBearing stren­gth in each eventdowndecreasing
Signs and MeaningSigns and Meaning from "Elements". Signs and Meaning Representation Words represent objects through conventional signs.
Signs and Meaning Representation Words represent objects through conventional signs. The introduction asks whether a more immediate sign can serve geometric reasoning better. Question The issue is not decoration but the precision and speed of representation.
Colour as NameColour as Name from "Elements". Colour as Name Immediate Identity A coloured part identifies itself to the eye without a chain of arbitrary letters.
Colour as Name Immediate Identity A coloured part identifies itself to the eye without a chain of arbitrary letters. The learner can retain its identity while the proof changes its relation to other parts. Knowledge Colour becomes a temporary name embedded in form.
Diagram as PropositionDiagram as Proposition from "Elements". Diagram as Proposition Visible Relations The diagram presents equality addition subtraction and comparison as spatial relations.
Diagram as Proposition Visible Relations The diagram presents equality addition subtraction and comparison as spatial relations. Text explains what the eye has located. Compression A single visual arrangement can carry several connected claims at once.
Abstract VisibilityAbstract Visibility from "Elements". Abstract Visibility Beyond Simple Shapes Proportion and duplicate ratio are increasingly abstract, yet they remain tied to diagrams.
Abstract Visibility Beyond Simple Shapes Proportion and duplicate ratio are increasingly abstract, yet they remain tied to diagrams. Lines areas and figures give the relations a visible embodiment. Continuity The method argues that abstraction need not mean complete separation from perception.
Knowledge PreservedKnowledge Preserved from "Elements". Knowledge Preserved Page as Archive Digital preservation retains coloured diagrams as evidence of the original visual argument.
Knowledge Preserved Page as Archive Digital preservation retains coloured diagrams as evidence of the original visual argument. The method's material form remains available for inspection. Final Implication Knowledge survives more fully when its structure and its representation are preserved together.
during the opening account of language
during the coloured triangle example
during the examples of equal angles and squares
during the proportion and similarity books
during the digitization record of 2011