The Indispensability of Mathematics

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How researchers see this paper

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A Structural Account of Mathematics (2004, background): “Take an indispensabilist platonist such as Mark Colyvan.”
On the Explanatory Role of Mathematics in Empirical Science (2010, background): “[1, 12, 13] Some of these examples have been subject to criticism by Melia [18, 19].”
Against Mathematical Explanation (2013, background): “(Colyvan 2001) for more on the former subject and (Steiner 1998) for discussion of the latter.”
Mathematical Explanations Of Empirical Facts, And Mathematical Realism (2012, background): “[Colyvan 2001 : 50–1] ”
What Are Mathematical Coincidences (and Why Does It Matter) (2010, background): “…that ‘if two different physical systems are governed by the same differential equation, it’s clear that there is some similarity between these systems, no matter how disparate the systems may seem … It seems plausible, at least, that this similarity is structural … ’ (Colyvan 2001, p. 83).”
Logical Non-Apriorism and the 'Law' of Non-Contradiction (2004, background): “See also Colyvan (2001), chapter 6 for a defence of the view that mathematics is empirical.”