26 karma · joined October 26, 2018
[1] Actually, as described by Turing, a Turing machine neves stops, but this is only because he is interested in computing real numbers (for example pi). But even using an original Turing machine, we do not "compute" pi. We only "compute" pi with some precision.
Unfortunately, many people don't seem to understand this.
An interesting paper related to this issue is The Myth of Hypercomputation [1]
Basically it is easy compute something that is uncomputable by using uncomputable inputs.
[1] https://link.springer.com/chapter/10.1007/978-3-662-05642-4_...
> Nearly a century ago, Alonzo Church invented the simple, elegant, and yet elusive lambda calculus. Along with Alan Turing, he then proved the Church-Turing thesis: that anything computable with a Turing machine can also be computed in the lambda calculus.
The Church-Turing thesis is not something one can prove. It's more like an intuition and/or definition we have. It states that anything that is computable can be computed with a Turing machine. See [1].
"Anything computable with a Turing machine can also be computed in the lambda calculus" this is true but it not the Church-Turing thesis and its called a Turing-equivalence. This was also not proved by Church, but by Turing in an appendix to his paper [2].
About a computation model being Turing-equivalent: the fact that most reasonable computation models we came up with were proven to be Turing-equivalent is one of the reasons we believe in the Church-Turing thesis.
[1] https://plato.stanford.edu/entries/church-turing/
[2] https://link.springer.com/article/10.1007/s10506-017-9200-2
One nitpick: I think "val" looks too much like "var" and this will make it harder do differentiate them by code skimming. I suggest changing "val" to something like "const", or "fix", or "imm"...
* I don't know about European Portuguese. The correct spelling for the slang would be "pica", but both have the same pronunciation.
He is writing in English why should he be preoccupied if it does not make sense in other languages. There are many English expressions that have no exact translations. Should writers avoid using these expressions too?
Also, as a curiosity, terminal has the same ambiguity in Brazilian Portuguese