Article ID: CBB112039489

Tools for Thought: The Case of Mathematics (2018)

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The objective of this article is to take into account the functioning of representational cognitive tools, and in particular of notations and visualizations in mathematics. In order to explain their functioning, formulas in algebra and logic and diagrams in topology will be presented as case studies and the notion of manipulative imagination as proposed in previous work will be discussed. To better characterize the analysis, the notions of material anchor and representational affordance will be introduced.

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Article Greg Priest; Silvia De Toffoli; Paula Findlen (2018) Tools of Reason: The Practice of Scientific Diagramming from Antiquity to the Present. Endeavour: Review of the Progress of Science (pp. 49-59). unapi

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Authors & Contributors
Schlimm, Dirk
Blume, Dieter
Boumans, Marcel
Chemla, Karine Carole
Dejić, Mirko
Friedman, Michael L.
Journals
Endeavour: Review of the Progress of Science
Studies in History and Philosophy of Science
Archive for History of Exact Sciences
British Society for the History of Mathematics Bulletin
Centaurus: International Magazine of the History of Mathematics, Science, and Technology
Indian Journal of History of Science
Publishers
MIT Press
Bononia University Press
CRC Press
de Gruyter
Routledge/Taylor & Francis Group
University of North Carolina Press
Concepts
Visual representation; visual communication
Visualization
Mathematics
Number notation; mathematical notation
Diagrams
Science and art
People
Aldrovandi, Ulisse
Artin, Emil
Babbage, Charles
Darwin, Charles Robert
Linnaeus, Carolus
Nichol, John Pringle
Time Periods
19th century
21st century
Medieval
20th century, late
Renaissance
11th century
Places
Great Britain
India
China
France
Italy
Portugal
Institutions
Académie des Sciences, Paris
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