The foundations of mathematics and physics
no longer start with
fundamental entities and their
properties
like spatial extension,
points, lines or the billiard ball like particles of
Newtonian physics. Mathematics has
abolished these from its foundations in
set theory by making all assumptions
explicit and structural. Particle physics has become
completely mathematical, connecting to physical
reality only through experimental technique.
Applying the principles guiding the foundations
of mathematics
and physics
to philosophical analysis underscores
that only conscious experience has an
intrinsic nature. This leads
to a version of
realistic monism in which
the essence and totality of the
existence of physical structure is immediate experience
in some form. Identifying physical structure with
conscious experience allows the application of mathematics
to the evolution of consciousness. Some of the implications
from Gödel's Incompleteness Theorem are
connected to creativity and ethics.