Volume 186, Issue 1

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Volume 186, Issue 1

May 2012

DIAGRAMS IN MATHEMATICS: HISTORY AND PHILOSOPHY

Issue Editors:

John Mumma,
Marco Panza,
Gabriel Sandu

17 articles in this issue

Diagrams in mathematics: history and philosophy
John Mumma
Marco Panza
Introduction 07 September 2011 Pages: 1 - 5
Traditions of the diagram, tradition of the text: A case study
Ken Saito
OriginalPaper 07 March 2012 Pages: 7 - 20
Mathematical diagrams from manuscript to print: examples from the Arabic Euclidean transmission
Gregg De Young
OriginalPaper 17 February 2012 Pages: 21 - 54
The twofold role of diagrams in Euclid’s plane geometry
Marco Panza
OriginalPaper 13 April 2012 Pages: 55 - 102
Constructive geometrical reasoning and diagrams
John Mumma
OriginalPaper 30 August 2011 Pages: 103 - 119
Human diagrammatic reasoning and seeing-as
Annalisa Coliva
OriginalPaper 03 August 2011 Pages: 121 - 148
The forgotten individual: diagrammatic reasoning in mathematics
Sun-Joo Shin
OriginalPaper 20 March 2012 Pages: 149 - 168
Hume on space, geometry, and diagrammatic reasoning
Graciela De Pierris
OriginalPaper 24 March 2012 Pages: 169 - 189
The mathematical form of measurement and the argument for Proposition I in Newton’s Principia
Katherine Dunlop
OriginalPaper 06 September 2011 Pages: 191 - 229
Kant on geometry and spatial intuition
Michael Friedman
OriginalPaper 07 March 2012 Pages: 231 - 255
Diagrams in the theory of differential equations (eighteenth to nineteenth centuries)
Dominique Tournès
OriginalPaper 10 February 2012 Pages: 257 - 288
Diagrammatic reasoning in Frege’s Begriffsschrift
Danielle Macbeth
OriginalPaper 29 February 2012 Pages: 289 - 314
Local axioms in disguise: Hilbert on Minkowski diagrams
Ivahn Smadja
OriginalPaper 09 August 2011 Pages: 315 - 370
And so on . . . : reasoning with infinite diagrams
Solomon Feferman
OriginalPaper 03 August 2011 Pages: 371 - 386
Diagrams as sketches
Brice Halimi
OriginalPaper 31 August 2011 Pages: 387 - 409
Seeing the language: a diagrammatic approach to natural discourse
Aránzazu San Ginés
OriginalPaper 03 August 2011 Pages: 411 - 439
Erratum to: Local axioms in disguise: Hilbert on Minkowski diagrams
Ivahn Smadja
Erratum 22 November 2011 Pages: 441 - 442

Volume 186, Issue 1

Diagrams in mathematics: history and philosophy

Traditions of the diagram, tradition of the text: A case study

Mathematical diagrams from manuscript to print: examples from the Arabic Euclidean transmission

The twofold role of diagrams in Euclid’s plane geometry

Constructive geometrical reasoning and diagrams

Human diagrammatic reasoning and seeing-as

The forgotten individual: diagrammatic reasoning in mathematics

Hume on space, geometry, and diagrammatic reasoning

The mathematical form of measurement and the argument for Proposition I in Newton’s Principia

Kant on geometry and spatial intuition

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

Diagrammatic reasoning in Frege’s Begriffsschrift

Local axioms in disguise: Hilbert on Minkowski diagrams

And so on . . . : reasoning with infinite diagrams

Diagrams as sketches

Seeing the language: a diagrammatic approach to natural discourse

Erratum to: Local axioms in disguise: Hilbert on Minkowski diagrams

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