Diagrams in mathematics

history and philosophy

John Mumma, Marco Panza

1-5

Traditions of the diagram, tradition of the text

A Case Study

Ken Saito

7-20

Mathematical diagrams from manuscript to print

examples from the arabic euclidean transmission

Gregg De Young

21-54

The twofold role of diagrams in Euclid's plane geometry

Marco Panza

55-102

Constructive geometrical reasoning and diagrams

John Mumma

103-119

Human diagrammatic reasoning and seeing-as

Annalisa Coliva

121-148

The forgotten individual

Diagrammatic reasoning in mathematics

Sun-Joo Shin

149-168

Hume on space, geometry, and diagrammatic reasoning

Graciela De Pierris

169-189

The mathematical form of measurement and the argument for proposition I in Newton's principia

Katherine Dunlop

191-229

Kant on geometry and spatial intuition

Michael Friedman

231-255

Diagrams in the theory of differential equations (eighteenth to nineteenth centuries)

Dominique Tournès

257-288

Diagrammatic Reasoning in Frege's Begriffsschrift

Danielle Macbeth

289-314

Local axioms in disguise

Hilbert on Minkowski diagrams

Ivahn Smadja

315-370

And so on . . .

reasoning with infinite diagrams

Solomon Feferman

371-386

Diagrams as sketches

Brice Halimi

387-409

Seeing the language

a diagrammatic approach to natural discourse

Aránzazu San Ginés

411-439

Erratum to