Ideas from 'Recent Debates on the A Priori' by Hartry Field , by Theme Structure
[found in 'Oxford Studies in Epistemology Vol. 1' (ed/tr Gendler,R/Hawthorne,J) [OUP 2004,978-0-19-928590-7]].
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6. Mathematics / A. Nature of Mathematics / 1. Mathematics
If mathematical theories conflict, it may just be that they have different subject matter