Irrationalism as a philosophy of mathematics
Tsogdov LUVSANDORJ, MSUE
Irrationality is
everywhere in mathematics. Mathematics is everywhere in irrationality. Therefore,
irrationality is mathematical rather than metaphysical. Mathematics is
irrational rather than rational. It is the premise of my long term
consideration towards both philosophical questions in mathematics and mathematical
ones in philosophy which also enables me to posit irrationalism as a philosophy
of mathematics. This article is thus designated to reconsider complicated concepts
such as zero, infinity, absoluteness, pureness, universality, abstractness,
irrationality, existence, contradiction, completeness, emptiness and
spirituality in mathematics and its philosophy in the light of irrationalism,
and then to share with professional community a proposition that mathematics
truths are discovered rather than invented; the nature of mathematics is holistically
captured rather than only mentally recognized.
April 6 2016
