By Armand A. Maurer
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Additional resources for Being and Knowing - Studies in Thomas Aquinas and Later Medieval Philosophers (Papers in Mediaeval Studies)
How precisely is the analogical conception of a genus formed in a judgment? It would seem that in its own way it too is conceived through a judgment of proportionality. For there is a likeness of proportions between a genus, existentially considered, and one of its species on the one hand, and the same genus, existentially considered, and another species on the other hand. For example, there is a proportionality between esse animate and canis on the one hand, and esse animale and homo on the other hand.
28, ed. , n. 1123. , 8, n. 8. De Ente et Essentia, ch. 2, ed. , pp. 19-20. "Genus autem non sumitur a forma aliqua quae sit una in rerum natura, sed secundum rationem tantum ... in sola consideratione accipitur forma generis, per abstractionem intellectus a differentiis. Sic igitur species est unum quid a forma una in rerum natura existente: genus autem non est unum; quia secundum diversas formas in rerum natura existentes, diversae species generis praedicationem suscipiunt. , 8, n. 8. See ibid.
According to John of St. Thomas, mathematical quantity must be distinguished both from imaginary quantity, which is an ens rationis, and from real quantity. The quantity considered by the mathematician is not precisely a being of reason nor a real being but is indifferent to both. This accounts for the fact that mathematical demonstrations are equally valid for both real and imaginary quantity. It would be presumptuous in this brief note to pass judgment on the accuracy of these different interpretations of the thought of St.