Dialectic and diagonalization

Abstract
This essay is about mathematics as a written or literate language. Through historical and anthropological observations drawn from the history of Greek mathematics and the oral tradition preceding the rise of literacy in Greece, as well as considerations on the nature of alphabetic writing, it is argued that three essential linguistic features of mathematical discourse are jointly possible only through written, alphabetic language. The essay concludes with a discussion of how both alphabetic principles and issues related to literacy faced by the Greeks in the axiomatization of geometry play a central role in some specific metamathematical theories. Drawing extensively on the work of ArpSd Szatx5, Eric Havelock, and Albert Lord, the implications developed between Szab6's history of Greek mathematics and Havelock and Lord's theories of writing and oral traditions (Homer's in particular) are the author's own, as are the applications to modern logic
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/00201749108602240
Options
 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: 29,492
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
Problems of Empiricism.Paul Feyerabend - 1981 - Cambridge University Press.
Plato: The Collected Dialogues.Edith Hamilton & Huntington Cairns (eds.) - 1961 - Princeton: New Jersey: Princeton University Press.

View all 7 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Added to PP index
2009-01-30

Total downloads
6 ( #566,332 of 2,180,702 )

Recent downloads (6 months)
1 ( #301,383 of 2,180,702 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums