Nature, Mathematics, Language-Games

Mathematical Physics can be interpreted either as the quantification of the cognition and/or the description of Nature, or as entailing the Ontological thesis, originated by Pythagoras--that Nature is essentially constituted by quanta.  So, for example, since Husserl ascribes the latter to Galileo, the pioneer of modern Mathematical Physics, his later de-quantization of Nature, resulting in a 'Life-World', corresponds to his earlier de-Mathematization of Science.  Likewise, the Logicism of Russell and early Wittgenstein is indistinguishable from Pythagoreanism, i. e. that classification follows from these premises: 1. Language describes the World; 2. The inner Logic of Language mirrors the structure of the World; and 3. Logic and Mathematics are identical.  Accordingly, Wittgenstein's later concept of a World constituted by Language-Games could reflect a repudiation of Pythagoreanism as much as does Husserl's Life-World.