Mathematical arguments in context

Foundations of Science 14 (1-2):45-57 (2009)
Abstract
Except in very poor mathematical contexts, mathematical arguments do not stand in isolation of other mathematical arguments. Rather, they form trains of formal and informal arguments, adding up to interconnected theorems, theories and eventually entire fields. This paper critically comments on some common views on the relation between formal and informal mathematical arguments, most particularly applications of Toulmin’s argumentation model, and launches a number of alternative ideas of presentation inviting the contextualization of pieces of mathematical reasoning within encompassing bodies of explicit and implicit, formal and informal background knowledge.
Keywords Contextual knowledge  Mathematical arguments  Mathematical practice  Toulmin  Rhetoric
Categories (categorize this paper)
DOI 10.1007/s10699-008-9146-7
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,122
Through your library
References found in this work BETA
Mathematics and Plausible Reasoning.George Pólya - 1954 - Princeton: Princeton University Press.
Mathematical Thought From Ancient to Modern Times.M. Kline - 1978 - British Journal for the Philosophy of Science 29 (1):68-87.
Mathematics and Plausible Reasoning.George Polya - 1954 - Princeton University Press.
Analysis and Synthesis in Mathematics,.Michael Otte & Marco Panza (eds.) - 1997 - Kluwer Academic Publishers.

View all 10 references / Add more references

Citations of this work BETA
How to Think About Informal Proofs.Brendan Larvor - 2012 - Synthese 187 (2):715-730.

Add more citations

Similar books and articles
Added to PP index
2009-01-28

Total downloads
40 ( #132,671 of 2,191,399 )

Recent downloads (6 months)
1 ( #291,140 of 2,191,399 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature