One true way

This post is a follow-up to my recent post programs are made of ideas. I received a lot of interesting comments and criticism on this philosophical exposition. But there is one in particular that caused me to deeply consider whether my argument made sense. It starts with this excerpt from the post:

Why constrain ourselves by forcing a fundamental idea? Must there really be a One True Way which forms a basis for everything else to be defined?

Surely the set of all the ideas we are capable of having forms a fundamental basis in which everything else can be defined. Or more concretely, it is presumptuous to think that our brains are so great as to not be constrained by some underlying system. We may not see the definitions of our ideas, but if our ideas can be said to exist at all, they have to have some expression in terms of something, right?

It is another thing entirely to wish to communicate that basis to a computer. Logicians will be quick to intuit that we would not be able to fully understand any system which forms the basis for our own thoughts (however, this intuition will be difficult to formalize unless our thoughts obey first order logic). And I’m pretty confident in saying that it isn’t first order logic, it isn’t lambda calculus, and it (still) isn’t actions on digital state machine1.

A perhaps clearer way of saying what I was trying to say is this: let the system in which we communicate our ideas be our slave, not our master. Think first, then decide which words will lead to the clearest explanation. We as software engineers, mathematicians, and even speakers of natural language have a tendency to give in to Sapir and Whorf. While we may not be capable of freeing our thoughts from our language2, we may be caving too easily. I felt a breath of fresh air when I noticed and cut the ropes tying me to lambda calculus and functional thinking.

It is a beautiful thing that most of these systems are Turing complete. I have never read the Church-Turing thesis as “C is Turing complete, so you might as well use C for all your programming tasks”. I read it almost the opposite way: “choose whatever language you want, because I can always write an interpreter for your language in my language”. Isn’t it great that we are able to choose between the uneasy handwaving of Perl and the frustrating precision of Agda?

I have always seen a programming language as a single core system for which ideas must be tailored. In other words, as a master. A current project of mine is to devise software development software that embraces the plurality of these systems: a way to tie together all these different methods of expression so that they can benefit each other. Let the language camps remain polarized, but let the computer do the arguing.

1 You might ask, “But what if we consider the brain to be a big digital state machine?” That is beside the point. By the time our consciousness gets hold of our thoughts, the mechanism used to implement them is long abstracted away. (Or perhaps not — maybe these thoughts are the result of a highly abstracted digital state machine, and with a different sort of brain we would have vastly different sorts of thoughts. That even seems likely. Hmm, food for… digital state machine operations.)

2 Nor may it be desirable — Bertrand Russell admired Giuseppe Peano for the clarity in which he could express thoughts using the then-novel idea of formal logic.

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1 thought on “One true way

  1. This post is why you are awesome.
    There has often been talk that computers are built like the brain. This makes perfect sense considering that humans CREATED computers. However I do think the human brain is much more complicated than computer technology. The human brain is not a closed system. We have the ability to know many languages simultaneously. The brain is constantly learning new things and constantly working on efficiency. This can sometimes lead to “habits” that may or may not be useful, but the brain is also capable of reflecting on whether a set “habit” is useful or not. I do think most people have some pretty hard set wired things that are almost impossible to change though. Some are biological . . like sexuality and self preservation etc etera . . . but some are less logical. Morals . . I think most people have limits. Things they would NEVER do. Hence the philosophical argument that people don’t truly have free will. Yes they may make up moral reasons that are very logical for why they wouldn’t do certain things, but I think a lot of people have gut reactions to situations that aren’t “logical” and then use logic to justify it. I think these under the surface limitations are very key to how a person not only thinks but lives their life. All of our limitations are slightly different . . .and hence no two people are exactly alike. At least that is the bullshit theory I made up on the spot. Good post. Keep them coming.

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