A new realistic account of an ontology of extensive magnitudes is developed, formulated in Seven Principles. The principles are defended by the role of magnitudes in scientific explanation and in counterfactuals. Scientific laws can be formulated using this ontology of magnitudes. A metaphysics-first view of the perception of magnitudes is then defended by using this metaphysics of magnitudes. The metaphysics-first treatment permits explanation of features of the perception of extensive magnitudes. Notions of analogue computation, analogue representation, and analogue content are explained using this apparatus. Deployment of the resulting theory allows the development, against Kuhn, of a case for the objectivity of analogue perceptual content.
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