Techne, Modern Science, Mathematics

A significant factor in the success of Modern Science has, of course, been Mathematics.  So, the traditional concept of the latter as a purely Theoretical object of Contemplation, entails either that Modern Science, too, is an object of Contemplation, e. g. that, following Pythagoras, the Universe has a noumenal Mathematical structure that the Sciences describe, or that Modern Science is an extrinsic application of pure Mathematics.  Either way, Techne is a derivative faculty, according to that concept.  However, fundamental to the structure of Techne is Ordinality: First, Second, etc., i. e. Techne consists in an ordered procedure.  Now, Cardinality is easily derived from Ordinality, but not vice versa.  For, the Cardinal Numbers are discrete integers, with respect to which notable putative connective devices like a Continuum or a Successor Function are extrinsic.  So, the role of Mathematics in the success of Modern Science reinforces the thesis that development of the latter over the centuries has been, and still is, governed by Techne.