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C is the foundation of computing in the sense that essentially every programming language and operating system is written in C or C++, and those are the tools that enable every other piece of software. More precisely, I would say that C is the foundation of software; it's how we stopped throwing out our programs when we changed computers. The first portable operating system kernels were written in C. I guess I could have been more precise and said that the lambda calculus (rather than Scheme/Lisp) is not the foundation of computing. It seems like there are people who still think this; see my recent response here: https://news.ycombinator.com/item?id=11412392 You could say Lisp and Scheme are proof of that. To actually be bootstrapped, they had to add all this other stuff like vectors and hash tables. I don't know the details of how well those are axiomatized. Paul Graham's Arc tried to a little further down, i.e. unifying functions and macros, defining numbers in terms of lists a la Peano arithmetic, etc., but I'm not sure how far that effort went. I mentioned all my experience with Lisp... doing SICP 19 years ago, and then coming back to it. As I said, I think it's outstanding research, but if you are trying to build an entire computing universe out of it, that's folly. Good luck. It's just not powerful enough -- once you add all the stuff you actually need, you're not far from the complexity of C. |
You are conflating minimalism with the Scheme language because Scheme is often used to illustrate minimalism. Vectors and hash tables are not "all this other stuff", they're part of the language spec[1]. You're also throwing Lisp in there even though minimalism is not a central theme of Lisp.
[1] When you did SICP hash tables were not part of the language spec although implementations generally had them; they got standardized in 2007 with R6RS. But vectors were in the language spec since at least 1985.