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Published online by Cambridge University Press: 28 February 2022
Accounts of ancient mathematical astronomy tend to err in either of two directions as regards the relationship between theory and observation. On the one hand, there are overly positivistic accounts according to which it is assumed that all theoretical progress made by the ancients was rendered possible by the increasing bulk and accuracy of observational data. On the other hand, there are those authors who, whenever they are confronted with a discrepancy between the observational report of an ancient and a modern result, are only too quick to conclude that the alleged observations were fudged (or even manufactured out of thin air) in order to support certain pre-existing theoretical commitments. It would appear from the case studies cited below that the truth about the relationship between observational data and theoretical presuppositions is somewhat more complicated than either of these two extreme accounts would allow.
I am grateful to Bernie Goldstein and to Jim Brown for their assistance.