Exploration

Out with the Greeks, in with the Indics

Replacing the foundational axioms of Western science

I was a high school physics geek, and for most of my life I dismissed knowledge domains like astrology. Then came my divorce in 2017. Afterwards, I happened to read an astrological comparison of the relational chemistry between Gemini and Pisces, and I felt a lot of grief reading it. It reflected the kind of challenges I had with my ex-wife, and I wished someone had pointed them out to me sooner, in that specific, verbalized manner, because then I would have been able to make better choices.

That got me curious about astrology, and I went pretty deep into it. As I did, I realized that the "scientific" dismissal of astrology was pretty weak. It was weak because astrology sits at the intersection of light, consciousness and gravity, and we actually do not have quality scientific theories to make sense of that intersection.

So I started studying physics again, and learned that the mathematical foundation of physics is mathematical logic. That took me on a journey of studying mathematical logic, which is basically philosophy in the form of equations. As I studied its structure, I realized that some of its core assumptions were borrowed from Greek philosophy, via Latin. Assumptions like ex falso quodlibet: from a falsehood, anything follows. It leads to a commonly used mathematical technique called proof by contradiction. It also leads to the design of truthiness in classical logic, where an assertion can only be either true or false.

That opened me up to non-classical logics, which attempt other ways of describing the truthiness of an assertion in the form of an equation, and other ways of structuring proofs. Some of the people building these alternate frameworks were inspired, like I was, by an incursion into Buddhism.

As I went deeper into Buddhism, I noticed that the way Buddhist philosophers embraced paradox was quite unlike how physicists and logicians of the early 1900s responded to paradoxes. Faced with one, they tended to collapse the line of reasoning they had built up. This is what happens, for example, with the wave–particle paradox in physics, or Russell's paradox in set theory. I wondered if that was because of a flawed assumption in how truthiness is structured in classical logic itself.

My original line of work was to codify principles from the Buddhist philosopher Nagarjuna's Madhyamika into equations and create an alternate language of logic. Then I'd see how all the deductive pathways that lead up to the mathematical equations of modern physics evolve, and what happens to the wave–particle paradox.

The two alternate disciplines being actively worked on that interest me most are constructive mathematics, which does away with proof by contradiction as a proving technique, and homotopy type theory, which imagines proofs in a geometric manner. Presently, I don't have the rigor to study either, so this project has been stalled for a bit.

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