Article ID: CBB112039489

Tools for Thought: The Case of Mathematics (2018)

unapi

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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https://data.isiscb.org/isis/citation/CBB112039489/

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Authors & Contributors
Schlimm, Dirk
Daly, J. P.
Alexis L. Boylan
Sastre Juan, Jaume
Justin T. Clark
Jonah Dutz
Journals
Studies in History and Philosophy of Science
Endeavour: Review of the Progress of Science
Archive for History of Exact Sciences
Science in Context
Revue d'Histoire des Mathématiques
Nuncius: Annali di Storia della Scienza
Publishers
MIT Press
University of North Carolina Press
Routledge/Taylor & Francis Group
Princeton University Press
de Gruyter
CRC Press
Concepts
Visual representation; visual communication
Visualization
Mathematics
Number notation; mathematical notation
Science and art
Technoscience; science and technology studies
People
Liu, Yi
Dedò, Modesto
Gauss, Carl Friedrich
Nichol, John Pringle
Fibonacci, Leonardo
Babbage, Charles
Time Periods
19th century
21st century
Medieval
Ancient
20th century, late
18th century
Places
Italy
Great Britain
Ukraine
Boston (Massachusetts, U.S.)
Florence (Italy)
United States
Institutions
Académie des Sciences, Paris
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