Structural Realism (SSR), as embodied in the Ramsey-sentence H of a theory H, is defended against the view that H reduces to a trivial statement about the cardinally of the domain of H, a view which arises from ignoring the central role of observation within science. Putnam's theses are examined and shown to support rather than undermine SSR. Finally: in view of its synthetic character, applied mathematics must enter into the formulation of H and hence to be shown axiomatisable; this is done in the Appendix, which is the most important part of the paper.
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