An Exploration in the Space of Mathematical Knowledge

Although knowledge is a central topic for MKM there is little explicit discussion on what ‘knowledge’ might actually be. There are specific intuitions about form and content of knowledge, about its structure, and epistemological nature that shape the MKM systems, but a conceptual model is missing. In this paper we try to rationalize this discussion to give MKM a firmer footing, to start a discussion among MKM researchers and help relate the MKM intuitions and discourses to other communities. Starting from the observation that many concrete realizations of mathematical knowledge objects are considered equivalent, we propose a conceptual model of the space of (mathematical) knowledge objects graded by levels of abstraction and presentational explicitness and draw conclusions for MKM markup formats
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 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
Translate to english
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,157
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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Managing Informal Mathematical Knowledge: Techniques From Informal Logic.Andrew Aberdein - 2006 - Lecture Notes in Artificial Intelligence 4108:208--221.
Truth and Proof.Otávio Bueno - 2008 - Manuscrito 31 (1):419-440.
What is the Problem of Mathematical Knowledge?Michael Potter - 2007 - In Michael Potter, Mary Leng & Alexander Paseau (eds.), Mathematical Knowledge.
Mathematical Knowledge.Mary Leng, Alexander Paseau & Michael D. Potter (eds.) - 2007 - Oxford University Press.

Monthly downloads

Added to index


Total downloads

82 ( #63,249 of 2,163,624 )

Recent downloads (6 months)

1 ( #348,037 of 2,163,624 )

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