Formerly u/CanadaPlus101 on Reddit.

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Joined 2 years ago
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Cake day: June 12th, 2023

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  • I wouldn’t say entrenched, because I think this is honestly the first time I’ve seen the two come up together outside of their shared name. I was surprised, but then again sometimes reality is surprising.

    Both have function composition, and expressions which contain free variables in multiple places. At the time, that was just a shorthand for what they were trying to express about slight changes. A bit later, formal analysis was axiomised, and is full of infinite things like Cauchy sequences and general topology. In the 20th century, substitution of a composed function into free variables becomes an object of study of it’s own, and found to be able to produce full complexity without anything else being added, being Turing equivalent.

    All the infinite and continuous stuff that makes calculus work, at least as it’s considered abstractly, doesn’t really translate into a discrete system. You can numerically approximate it, and I guess you could even use lambda calculus-like functional language to do that, but I’m not mad it never came up in my math courses, like in your original comment.

    If there’s nothing more to add to that, I am sorry for wasting your time.




  • So, I took it from these parts together:

    and the common name for the conceptual underpinnings of computational theory.

    the idea of function composition or continuous function theory (or even just computation as a concept) are all closely related with basic concepts from “calculus calculus” like limit theory and integral progression.

    I’m still not seeing the connection otherwise.












  • Why? An assembler isn’t the same thing as a compiler. (Although, I’m not personally sure where the dividing line is. Where would literally just an assembler with loops instead of goto classify?)

    The practice of directly using assembly is relatively obsolete. To bootstrap you might have to a bit, but writing Rollercoaster Tycoon in it was already an anachronism. I’m not really sure how to fit that into your analogy, because there’s no word-compilers in wide use. If voice-to-text had became that dominant, typing would be obsolete, I guess.