The unity of logic, pedagogy and foundations in Grassmann's mathematical work

History and Philosophy of Logic 25 (1):15-36 (2004)
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
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/01445340310001613824
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,702
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Adjointness in Foundations.F. William Lawvere - 1969 - Dialectica 23 (3‐4):281-296.
Mathematical Proof.G. H. Hardy - 1929 - Mind 38 (149):1-25.
The Axiomatization of Arithmetic.Hao Wang - 1957 - Journal of Symbolic Logic 22 (2):145-158.
Some Critical Remarks on Analytical Realism.Arthur R. Schweitzer - 1914 - Journal of Philosophy, Psychology and Scientific Methods 11 (7):169-183.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

23 ( #216,491 of 2,158,464 )

Recent downloads (6 months)

1 ( #354,692 of 2,158,464 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums