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Many models function representationally. Considerable differences notwithstanding, most accounts of representation involve the notion that models denote their targets. Denotation is a dyadic relation that obtains between certain symbols and certain objects. This does not sit well with the fact that many models are not concrete objects. If a model does not exist, how can it denote? We present an antirealist theory of models that reconciles the notion that models don’t exist with the claim that there is real denotation between models and their targets.