Mathematics is Everywhere Philosophy?
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I have searched on and off for years on what philosophical movements promote, or are in agreement with, the idea that everything in our experience can be interpreted/translated as mathematics. — Paul Fishwick
I tend to equate the human science of Mathematics with knowledge of the Logical structure of the universe. In mathematical analysis, we are describing certain logical relationships between things. And one result of those "equations" is a unified & holistic view of otherwise independent parts of reality. The physical parts of reality are visible and tangible. But the web of interrelationships is invisible, except to rational minds. So, Mathematics is essentially a form of Mind-reading, in the sense of Hawking's quote about knowing the mind of God.
With that broader notion in mind, I would call the mathematical aspect of reality : Meta-Physical. That's because it applies, not just to material relationships, but to meaningful & moral human (mental, emotional) relationships. Logical relationships have both numerical values (ratios) and moral values (true/false; good/bad). But those who focus their mathematical investigations on the parts, may not "see" the whole picture, that Hawking referred to as "God". Of course, he was not referring to the god-model of any particular religion, but to the Nature-god (or Logos) of the philosophers, specifically Spinoza. And, in that all-encompassing sense, Mathematics (Logic) is part & parcel of "everything".
"If we find the answer to that, it would be the ultimate triumph of human reason—for then we would know the mind of God" ___Stephen Hawking
TPF : Mathematics is Everywhere
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