The mathematical sciences vs. De nominum analogia

We examine Cajetan’s De nominum analogia (On the Analogy of Names) under the light of ancient mathematics to determine whether it adheres to the scientific criteria and discoveries set by the authorities upon which it claims to rest. We conclude it contains three fundamental errors: an incorrect distinction between the predicable genus and the subject genus; disdain for virtual quantity; and the reduction of analogy to a mere form of denomination, uprooting it from demonstrative reasoning, which is its original and proper place in science.