Criticism
It is difficult to determine what methodology the Oxford 'Calculators' used when they were conjecturing and postulating theorems by way of abstraction (i.e., without empirical investigation). This criticism is not expressly made toward Dumbleton's conjectures but more broadly aimed at the methodology of the whole group of Mertonian physicists. One suggestion is that they may have been trying to create a mathematical picture of the Aristotelian world-view. If this were true, it would show why empirical investigation was not their modus operandi. In other words, the Oxford Calculator's works show respect for quantitative reasoning; opposed to a posteriori evaluations. Regardless of whether they opted against empirical investigation for theological reasons or simply because the debut of the scientific method was not ready to be revealed, one ought to regard John of Dumbleton and his contemporaries as exemplary pioneers in mathematics, physics, and logical discourse.
Read more about this topic: John Dumbleton
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