Is Mathematics a Pure Science?

Science and Society 60 (1):58 - 79 (1996)
Abstract
The philosophy of mathematics provides a severe test for a materialist explanation of science. This is because mathematics is mostly abstract and mathematical theory is rarely tested directly in practice. All the main schools of the philosophy of mathematics — platonism, logicism, intuitionism, formalism — are varieties of idealism. Nevertheless all human ideas, including mathematical ideas, originate from our experience of the world and are rooted in reality. In the history of mathematics it can be seen that problems facing society have given a great impetus to the development of the subject. Thus the rise of trade and changes in technology have each led to great advances, though purely internal contradictions within mathematics have also been of considerable importance. Formal mathematical reasoning, like classical logic, has been highly successful in the evolution of science, but is inadequate for reasoning about indeterministic processes in a state of change. Thus formal logic and dialectics should be thought of as complementary and both are required for a fully scientific understanding of the world.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
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: 26,188
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
Philosophy of Mathematics: Making a Fresh Start.Carlo Cellucci - 2013 - Studies in History and Philosophy of Science Part A 44 (1):32-42.
Mathematics as a Science of Patterns.D. Resnik Michael - 1997 - New York ;Oxford University Press.
Mathematics and Reality.Stewart Shapiro - 1983 - Philosophy of Science 50 (4):523-548.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Philosophy of Mathematics.Christopher Pincock - 2011 - In J. Saatsi & S. French (eds.), Companion to the Philosophy of Science. Continuum. pp. 314-333.
A Husserlian Perspective on Empirical Mathematics in Aristotle.Jean De Groot - 2006 - Proceedings of the American Catholic Philosophical Association 80:91-99.
A Wittgensteinian Philosophy of Mathematics.Charles Sayward - 2005 - Logic and Logical Philosophy 15 (2):55-69.
Apriority and Applied Mathematics.Robert A. Holland - 1992 - Synthese 92 (3):349 - 370.
Applying Pure Mathematics.Anthony Peressini - 1999 - Philosophy of Science 66 (3):13.
Against Mathematical Explanation.Mark Zelcer - 2013 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):173-192.
Reflections on Mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.

Monthly downloads

Added to index

2011-05-29

Total downloads

6 ( #550,724 of 2,153,834 )

Recent downloads (6 months)

1 ( #398,274 of 2,153,834 )

How can I increase my 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