Beyond Mathematical Platonism and other Mathematical Mysticisms

[Miguel]

The book "The Mathematical Experience" lays the groundwork for viewing mathematics, not as human record[ing]s of rare human "seeings" of a Platonic realm of immutable, eternal, infinite 'eide', registering, in advance, and always already, all possible mathematical concepts and truths, but on the contrary, for viewing mathematics as a collective, human, cultural product, and not, either, as a monolithic Darwinian manifestation of "the human Genome", but as a 'meta-Darwinian' component of 'the human Phenome'. The later work of this book's co-author, Reuben Hersch, develops this thesis of the cultural character of mathematics much further.

One of the developments to which this understanding of what mathematics is, leads, is an immanent critique of modern mathematics as an ideology-infected science, in the Marxian sense of "ideology". Such a critique leads to new mathematics, such as the 'dialectical ideography', or "mathematics of dialectics", developed by Foundation Encyclopedia Dialectica [F.E.D.]. Their work is available for free-of-charge download via www.dialectics.org .