Mathematicism

Mathematicism is any opinion, viewpoint, and/or school of thought/philosophy that states that everything can be described/defined/modelled ultimately by mathematics, and/or that the universe & reality (both material & mental/spiritual) are fundamentally/fully/only mathematical, i.e. that ‘everything is mathematics’ (necessitating the ideas of logic/reason & mind/spirit, as mathematical rationalist idealist/mentalist/spiritualist monism.) Mathematicism started in the West with ancient Greece's Pythagoreanism, and continued in other rationalist idealist schools of thought such as Platonism.

Mathematicism includes (but isn't limited to) the following (chronological order)

• Pythagoreanism (Pythagoras said ‘All things are numbers,’ ‘Number rules all,’ though contemporary mathematicists exclude numerology, etc., from mathematicism)
• Platonism (paraphrases Pythagoras' mathematicism, though contemporary mathematicist Mike Hockney, at end of this list, writes the Platonic ideal world is math, and other ideal forms don't exist)
• Neopythagoreanism
• Neoplatonism (brought Aristotelean mathematical logic to Platonism)
• possibly Cartesianism (René Descartes applied mathematical reasoning to philosophy.)
• Leibnizianism (Gottfried Leibniz was a mathematician, called beings ‘monads,’ which also means ‘units’/‘ones,’ and mathematicist Mike Hockney, at end of this list, describes Leibniz as Pythagorean-Platonist and as considering reality was mathematical.)
• physicist Max Tegmark's mathematical universe hypothesis, described as Pythagoreanism-Platonism
• Neopythagorean-Neoplatonist-Leibnizian Mike Hockney's atheist or ‘mathematics-theist’ mathematical reality theory, philosophical/ontological mathematics (advised by Platonist scientists/mathematicians, also a response to Tegmark)