Abstract
This paper aims to explain Leibniz’s opinion according to which creation and demonstration in mathematics are founded upon a certain general logic that is conversant not only with syllogisms and prosyllogisms, but also with the rules of particular progressions or functions. If this is the case, there would be a universal mathematics or good characteristics, bringing several consequences on what is thought to be the foundation and range of human knowledge. We intend to do such an inquiry mainly using the fictional clash between Theophilus, that stands for Leibniz himself, and Philalethes, that stands for the English philosopher John Locke, regarding the alleged impossibility of squaring the circle claimed by the latter, that is portrayed in the New Essays.
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