I‘ve come to understand that my long standing frustration with mathematics and the failure of mathematics in the 20th is that mathematics is fundamentally statistical and that the sequence counting-accounting(operational measurement), programming (operational change), and mathematics (commensurability by scale independence) reverses our understanding of mathematics as the primary logic.
As human knowledge and the scale of our inquiry increased, the ‘hand calculation’ of statistical measures (math) failed.
The evidence that computers provided with computation was predictable, but the insights we had from mandelbrot’s fractals, conway’s ‘life’, 3d cellular automata (advanced ‘life’), and wolfram’s current physics project, is that the statistical-probabilistic revolution, and the subsequent wave-form revolution together resulting in the half-truth, half-catastrophes of keynes’ pseudo-economics and bohr’s pseudo-probability of wave forms, and the loss of a century in economics and physics for having failed to invest in the ‘right’ mathematics and apply operational on the fundamental, and limit statistics to the expression and measurement of aggregates. When the underlying problem was that these questions cannot be solved by the use of statistics (aggregates) and only by discovery of their underlying operations.