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While the science aspect (chemistry, biology, and physics) and mathematics (calculus and algebra) is a breeze to figure out, the engineering and technology aspects are less straightforward. The skills coupled with critical thinking are taught in these subjects.
I liked all kinds of science when I was at school – biology, chemistry, physics. I was used to solving maths, physics, and chemistry problems, but they were invariably problems that someone had set and, therefore, knew the answer to. I was also interested in sports and enjoyed both watching and playing lots of different sports.
In 2000 I was interested in what the simplest possible axiom system for logic (Boolean algebra) might be. Perhaps even the architecture of the network can change. Probably it’s because neural nets capture the architectural essence of actual brains. The simplest known up to that time involved 9 binary ( Nand ) operations.
Mathematics is normally done at the level of “specific mathematical concepts” (like, say, algebraic equations or hyperbolic geometry)—that are effectively the “populated places” (or “populated reference frames”) of metamathematical space. Chemistry / Molecular Biology. Perhaps not for chemistry as it’s done today.
Mathematics is normally done at the level of “specific mathematical concepts” (like, say, algebraic equations or hyperbolic geometry)—that are effectively the “populated places” (or “populated reference frames”) of metamathematical space. Chemistry / Molecular Biology. Perhaps not for chemistry as it’s done today.
In 2015 Ed told me a nice story about his time at Caltech: In 1952–53, I was a student in Linus Pauling’s class where he lectured Freshman Chemistry at Caltech. Then McCarthy started to explain ways a computer could do algebra. It was all algebra. And he says “There’s a problem.
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