• Computing,  Logic,  Mathematics,  Philosophy,  Physics

    The Paradox of Natural Laws and Its Resolution

    In an earlier post, I described the problem of computing in nature, namely that scientific laws employ mathematical formulae, but it is not clear how these formulae are being calculated in nature. The reasons for this are historical and date back to Newton’s formulation of the three laws of motion. While Newton had produced a mechanics, he had not himself envisioned machines. He was only trying to describe celestial and…

  • Biology,  Computing,  Logic,  Mathematics

    Reasoning and Semantic Computation

    Since the advent of computers, it has been widely believed that the human mind is just like a computer. I have previously described why this is a false analogy due to two problems: (1) the problem of meaning, and (2) the problem of choice. I have also discussed the problem of meaning in computing theory in the book Gödel’s Mistake. However, all these critiques are inadequate without an understanding of…

  • Computing,  Logic,  Mathematics,  Philosophy

    Sāńkhya, Reductionism, and New Science

    Many people believe modern science is reductionist and an alternative anti-reductionist science must replace it. This post discusses why Sāńkhya is reductionist—because it reduces everything to only three modes of nature (sattva, rajas, and tamas). It also discusses why Sāńkhya is anti-reductionist—because the first mode of nature in this reductionist theory (sattva) represents the whole, which precedes the contradictory parts (rajas and tamas). Sāńkhya becomes anti-reductionist because the whole precedes the…