Re: Turing completeness of the functional paradigm?

On Wed, 13 Jul 2005, Tom wrote:
> It seems to be the case that _on the absolute scale of things_
> temporality is entirely eliminable within the functional paradigm (with
> the ideas of state / assignment being merely abstractions, and a state
> machine simply a set of spatial, and atemporal sequences).
>
> (This is hinted by Prof. Abelson in a lecture on streams (L6b):
> http://swiss.csail.mit.edu/classes/6.001/abelson-sussman-lectures/
> with a remark on the nonplausibility of such an approach
> implementationally. Still, it is the absolute case that I am after.)
>
It is implausible the quote, tho grammatically correct, is coherent or if
coherent, meaningful.

> Actually, having pondered Peano's axioms a little more carefully, I
> have concluded that there seem to be no nospatial relations whatsoever.
>
What's a nospatial relation?

> Please, is my thinking erroneous (again, on the absolute scale of
> things, and not implementationally)?
>
Erroneous is a complement. I think it attains unto erudite gibberish.
.