Experiments, Mathematics and Principles of Natural Philosophy in the Epistemology of Giovanni Battista Baliani

Abstract

The epistemology of Giovanni Battista Baliani, a leading 17th century Italian scientist, is the focus of this article. In his treatise on motion, De motu naturali gravium solidorum (1638), Baliani’s epistemology was grounded on empirical principles — the law of the pendulum essentially — in the footsteps of the “ old ” mixed mathematics. In a new edition, De motu naturali gravium solidorum et liquidorum (1646), Baliani changed his approach and grounded his epistemology on principles of natural philosophy with a metaphysical and not empirical evidence. An analysis of Baliani’s writings reveals a tension between his empiricist philosophy, which he maintained throughout his life, and his mathematical approach, which was still based on experience ; but on an experience derived from measurements and intrinsically affected by errors, it was hence uncertain. A comparison with Galileo’s epistemology is also made to better understand trends in mathematical physics at the end of the 1600’s.