Three lessons about model theory
Three lessons about model theory

Summary/Abstract: In this paper, I will point out some consequences of the recent discussions in the philosophy of model theory concerning the possible stances one might take toward the philosophical significance of model theoretical results. The main lesson of these discussions seems to be that model theoretical results are significant philosophically only if we can justify their use independently of model theory. This follows from the fact that both moderate modelism and model theoretical scepticism are untenable. I will be using the problem of the categoricity of arithmetic throughout the paper as a case study.

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