Studies in History and Philosophy of Science Part A 39 (2):202-210 (2008)
|Abstract||Although in the past three decades interest in mathematical explanation revived, recent literature on the subject seems to neglect the strict connection between explanation and discovery. In this paper I sketch an alternative approach that takes such connection into account. My approach is a revised version of one originally considered by Descartes. The main difference is that my approach is in terms of the analytic method, which is a method of discovery prior to axiomatized mathematics, whereas Descartes’s approach is in terms of the analytic-synthetic method, which is a heuristic pattern in already axiomatized mathematics.|
|Keywords||explanation proof philosophy of mathematics|
|Through your library||Configure|
Similar books and articles
Alan Baker (2005). Are There Genuine Mathematical Explanations of Physical Phenomena? Mind 114 (454):223-238.
Carlo Cellucci (2005). Mathematical Discourse Vs. Mathematical Intuition. In Carlo Cellucci & Donald Gillies (eds.), Mathematical Reasoning and Heuristics, 137-165. College Publications.
Alan Baker & Mark Colyvan (2011). Indexing and Mathematical Explanation. Philosophia Mathematica 19 (3):323-334.
Alan Baker (2009). Mathematical Explanation in Science. British Journal for the Philosophy of Science 60 (3):611-633.
Sorin Ioan Bangu (2008). Inference to the Best Explanation and Mathematical Realism. Synthese 160 (1):13-20.
Davide Rizza (2011). Magicicada, Mathematical Explanation and Mathematical Realism. Erkenntnis 74 (1):101-114.
Added to index2009-01-28
Total downloads70 ( #12,665 of 556,837 )
Recent downloads (6 months)2 ( #39,010 of 556,837 )
How can I increase my downloads?