Article ID: CBB000740608

The Unity of Logic, Pedagogy and Foundations in Grassmann's Mathematical Work (2004)

unapi

Hermann Grassmann's Ausdehnungslehre of 1844 and his Lehrbuch der Arithmetik of 1861 are landmark works in mathematics; the former not only developed new mathematical fields but also both contributed to the setting of modern standards of rigor. Their very modernity, however, may obscure features of Grassmann's view of the foundations of mathematics that were not adopted since. Grassmann gave a key role to the learning of mathematics that affected his method of presentation, including his emphasis on making initial assumptions explicit. In order to better understand this less well-known aspect of his work it will help to examine why some commentators have overlooked his theme of unifying logic, pedagogy and foundations, while others have recognised it.

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Authors & Contributors
Petsche, Hans-Joachim
Lara Piersanti
Nobrega, Hugo
Viana, Petrucio
Cerioli, Márcia R.
Silveira, Guilherme
Concepts
Mathematics
Logic
Philosophy
Biographies
Linguistics; philology
Physics
Time Periods
19th century
20th century, early
20th century
20th century, late
18th century
Places
Germany
Great Britain
Spain
Italy
Institutions
Cambridge University
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