Paulus Vallius
Encyclopedia
Paulus Vallius (1561-1622) was an Italian Jesuit logician.

Life

He was born in Rome.

He was a lecturer at the Collegio Romano in the 1580s. He first taught De elementis, from 1585 to 1587, and then the three-year philosophy course from 1587 to 1590. After that he taught at Padua.

His notes on the Posterior Analytics
Posterior Analytics
The Posterior Analytics is a text from Aristotle's Organon that deals with demonstration, definition, and scientific knowledge. The demonstration is distinguished as a syllogism productive of scientific knowledge, while the definition marked as the statement of a thing's nature, .....

, generally Thomist, were used by Galileo. This occurred around 1588-1590, and it was through Vallius that Galileo learned the work of Jacopo Zabarella
Jacopo Zabarella
Giacomo Zabarella was an Italian Aristotelian philosopher and logician. He was accused of atheism for the notable chapter "De inventione æterni motoris" in his De rebus naturalibus libri XXX....

. It is now accepted that Vallius is the source of two logical treatises by Galileo.

Vallius was plagiarized by Ludovico Carbone, in his 1597 Additamenta ad commentaria doctoris Francisci Toleti in logicam Aristotelis, which were Additions to the logic of Franciscus Toletus
Franciscus Toletus
Francisco de Toledo, born the 4 October 1532 at Cordoba and died the 14 September 1596 in Rome, was a Spanish Jesuit theologian, Biblical exegete and professor at the Roman College...

.

Works

He published Logica, in two volumes, at Lyon
Lyon
Lyon , is a city in east-central France in the Rhône-Alpes region, situated between Paris and Marseille. Lyon is located at from Paris, from Marseille, from Geneva, from Turin, and from Barcelona. The residents of the city are called Lyonnais....

 in 1622. In it he sided with Benedictus Pereyra against Giuseppe Biancani
Giuseppe Biancani
Giuseppe Biancani was an Italian Jesuit astronomer, mathematician, and selenographer, after whom the crater Blancanus on the Moon is named...

. The issue was mathematical proof
Mathematical proof
In mathematics, a proof is a convincing demonstration that some mathematical statement is necessarily true. Proofs are obtained from deductive reasoning, rather than from inductive or empirical arguments. That is, a proof must demonstrate that a statement is true in all cases, without a single...

in physics, where Pereyra denied mathematics an essential status.
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