Philosophia Mathematica 7 (2):178-199 (1999)
The instability inherent in the historical inventory of mathematical objects challenges philosophers. Naturalism suggests we can construct enduring answers to ontological questions through an investigation of the processes whereby mathematical objects come into existence. Patterns of historical development suggest that mathematical objects undergo an intelligible process of reification in tandem with notational innovation. Investigating changes in mathematical languages is a necessary first step towards a viable ontology. For this reason, scholars should not modernize historical texts without caution, as the use of anachronistic notation tends to impede, rather than enhance, our ability to recognize the emergent nature of mathematical objects.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Kitcher's Mathematical Naturalism.James Robert Brown - 2003 - Croatian Journal of Philosophy 3 (1):1-20.
Aristotle on Mathematical Truth.Phil Corkum - 2012 - British Journal for the History of Philosophy 20 (6):1057-1076.
Naturalized Platonism Versus Platonized Naturalism.Bernard Linsky & Edward N. Zalta - 1995 - Journal of Philosophy 92 (10):525-555.
Magicicada, Mathematical Explanation and Mathematical Realism.Davide Rizza - 2011 - Erkenntnis 74 (1):101-114.
Added to index2009-01-28
Total downloads39 ( #130,945 of 2,158,954 )
Recent downloads (6 months)1 ( #353,545 of 2,158,954 )
How can I increase my downloads?