(Ph.D Thesis) Mathematics, Natural Philosophy, and Providential Theology: An inquiry into the ontological problem of the causation of gravity force in Newton’s physics. (original) (raw)
Newton's development of an ontology of force, along with a mathematical treatment of natural phenomena, had vexed both historians and philosophers of science for decades. In dealing with such a dilemma, philosophers of science and Whig historians more often than not adopt a positivist stance which stresses Newton's agnosticism towards the causation of force, and highlight some sort of positivism in his natural philosophy, thus downplaying his ontological commitments to the conundrum of causation of force. On the other hand, contextualist historians tackle that puzzle by making use whether of Newton's alchemical studies or his metaphysics of nature founded upon a voluntaristic theology, in order to assert Newton's involvement in harmonizing his mathematical physics and natural philosophy within the framework of British natural philosophy. Notwithstanding this, Newton's philosophy of mathematics, and especially his ontology of mathematical entities, remains outside the sphere of interests for both historians and philosophers of science. The aim of this thesis is to rehearse an approach to the problem of Newton's ontology of force by analyzing his ontology of mathematical entities, as deployed in the Principia, within the framework of Newton's voluntarist theology. The purpose is that of showing that within Newton's own mathematical practice we are not required to mingle levels of his epistemological discourse with his ontological assumptions as it happens in the above-mentioned approaches. By means of this analysis, it is expected, additionally, to advance our understanding of Newton's acceptance of action at a distance based upon his notion of gravity force as a superadded quality.
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