Book description: This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams, etc. have become the subject of intense interest. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? What role do visual images and diagrams play in mathematical activity? What are the different epistemic virtues (explanatoriness, understanding, visualizability, etc.) which are pursued and cherished by mathematicians in their work? The reader will find here systematic philosophical analyses as well as a wealth of philosophically informed case studies ranging from Babylonian, Greek, and Chinese mathematics to nineteenth century real and complex analysis.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
Against Mathematical Explanation.Mark Zelcer - 2013 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):173-192.
Similar books and articles
Understanding, Formal Verification, and the Philosophy of Mathematics.Jeremy Avigad - 2010 - Journal of the Indian Council of Philosophical Research 27:161-197.
The Many Faces of Mathematical Constructivism.B. Kerkhove & J. P. Bendegem - 2012 - Constructivist Foundations 7 (2):97-103.
Review of D. Corfield, Toward a Philosophy of Real Mathematics. [REVIEW]Andrew Arana - 2007 - Mathematical Intelligencer 29 (2).
Review of D. Corfield's Toward A Philosophy Of Real Mathematics. [REVIEW]Andrew Arana - 2007 - Mathematical Intelligencer 29 (2).
Dedekind, Structural Reasoning, and Mathematical Understanding.Erich H. Reck - 2009 - In Bart Van Kerkhove (ed.), New Perspectives on Mathematical Practices: Essays in Philosophy and History of Mathematics. World Scientific. pp. 150--173.
Added to index2010-07-26
Total downloads17 ( #287,014 of 2,178,170 )
Recent downloads (6 months)1 ( #316,504 of 2,178,170 )
How can I increase my downloads?