On the Acceleration of Falling Bodies

TO ARTICLES IX, X, XI, XII. Regarding the logical fallacy attributed to Galileo as he attacks the false definition.

From page 110 to 136.

The Reverend Father Pierre Cazré, a Jesuit mathematician and opponent of Gassendi attempts with great effort to demonstrate a logical fallacy original: "paralogismum," a piece of faulty reasoning; however, he does so in vain. Whether he distinguishes between various meanings, rearranges the propositions, or examines the logical consequence, he does nothing more than beg the question original: "petere principium," the logical error of assuming the very thing one is trying to prove, as had been charged against him. Or, when he wishes to turn an argument back against Galileo, he simply changes the name and concludes against himself. He complains unjustly that he is being misrepresented when it is said that he claimed that if a space is divided into two equal parts, the second part is traversed in half the time of the first. This claim led to the absurdity of traversing infinite space during the second interval of time. Yet, these were his very own words concerning a quarter and half a quarter of a distance. To convict Galileo of a logical fallacy, the Father used no other principle. Finally, if Galileo truly admitted a logical error here, it can be shown that the Reverend Father either reached no conclusion in another passage or very clearly fell into the same error himself.

TO ARTICLES XIII, XIV, XV, XVI, XVII, XVIII. Regarding Galileo's postulate on motion over planes of equal height but unequal inclination.

Galileo’s observations to confirm this postulate The principle that a body falling down planes of different inclinations will reach the same speed if the vertical height is the same have not yet been proven false. Therefore, his teaching can more rightly be considered Science, as it is consistent with experience. This is in contrast to the teachings provided by the Reverend Father, which contradict experience and are based on an experiment that is shown to be false...