Here is the latest version of my paper from the PSA. As noted earlier, the goal of the session was to establish some links between philosophy of mathematics and philosophy of science. My aim was to make the connection through confirmation, although all I have done so far in this paper is raised the issue in what is hopefully a useful and novel way. This part of an ongoing project, so comments are certainly welcome!
Mathematics, Science and Confirmation
Abstract: This paper begins by distinguishing intrinsic and extrinsic contributions of mathematics to scientific representation. This leads to two investigations into how these different sorts of contributions relate to confirmation. I present a way of accommodating both contributions that complicates the traditional assumptions of confirmation theory. In particular, I argue that subjective Bayesianism does best accounting for extrinsic contributions, while objective Bayesianism is more promising for intrinsic contributions.
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