Some Metaphysical Presuppositions of Science

In order to determine what are the metaphysical presuppositions of science (if any), we have to first define the terms ‘presupposition’ and ‘metaphysics’ or ‘metaphysical’. We shall begin with the former. Arthur Pap in his article Does Science Have Metaphysical Presuppositions? discusses two senses of the term. A presupposition may be (a) a necessary condition: p presupposes q, dt = p implies q, i.e. not-g implies not-p. (b) a premise or a rule (or a set of rules) of inference used in deriving a belief. Thus in this sense, p presupposes q means that if q were false, then the belief in p would cease to be grounded.