Word Against Image

Elements

This flow traces the changing balance between verbal mathematical language and the visual language of coloured diagrams.

increasing

Bearing strength in each event

decreasing

Verbal Inheritance Verbal Inheritance from "Elements". Verbal Inheritance Words as Signs The introduction acknowledges that ordinary language represents objects through spoken and written signs.

Verbal Inheritance from "Elements". Verbal Inheritance Words as Signs The introduction acknowledges that ordinary language represents objects through spoken and written signs.

Verbal Inheritance Words as Signs The introduction acknowledges that ordinary language represents objects through spoken and written signs. Words remain useful for common communication. Limitation They become slow when many similar geometric parts must be distinguished at once.

The Faithful Eye The Faithful Eye from "Elements". The Faithful Eye Sensory Argument The author invokes Horace's contrast between what reaches the ear and what reaches the eye.

The Faithful Eye from "Elements". The Faithful Eye Sensory Argument The author invokes Horace's contrast between what reaches the ear and what reaches the eye.

The Faithful Eye Sensory Argument The author invokes Horace's contrast between what reaches the ear and what reaches the eye. Visual impressions are said to remain longer and engrave knowledge more firmly. Rhetorical Force The quotation turns a pedagogical preference into a claim about human perception.

Diagrammatic Language Diagrammatic Language from "Elements". Diagrammatic Language Signs Become Visible Colours and forms identify the parts that words would otherwise name through letters.

Diagrammatic Language from "Elements". Diagrammatic Language Signs Become Visible Colours and forms identify the parts that words would otherwise name through letters.

Diagrammatic Language Signs Become Visible Colours and forms identify the parts that words would otherwise name through letters. The diagram functions as a compressed statement of relations. No Rejection of Speech The method supplements verbal explanation rather than abolishing it.

Synchronized Channels Synchronized Channels from "Elements". Synchronized Channels Eye and Ear The teacher can speak the proof while the learner sees its objects. Each sense contributes a different kind of information.

Synchronized Channels from "Elements". Synchronized Channels Eye and Ear The teacher can speak the proof while the learner sees its objects. Each sense contributes a different kind of information.

Synchronized Channels Eye and Ear The teacher can speak the proof while the learner sees its objects. Each sense contributes a different kind of information. Resolution The conflict between word and image becomes cooperation between explanation and recognition.

Image Governed by Reason Image Governed by Reason from "Elements". Image Governed by Reason Controlled Visualization Colour has no effect on length angle or magnitude; it merely names them.

Image Governed by Reason from "Elements". Image Governed by Reason Controlled Visualization Colour has no effect on length angle or magnitude; it merely names them.

Image Governed by Reason Controlled Visualization Colour has no effect on length angle or magnitude; it merely names them. The visual aid remains subordinate to mathematical proof. Balance The book's final position is not image against language but image disciplined by reasoning.

at the opening explanation of language

during the quotation from Horace

during the explanation of coloured symbols

during the discussion of oral demonstrations

at the close of the introduction