On Mon, 03 Jul 2006 04:36:51 -0400, Hatto von Aquitanien <abbot@AugiaDives.hre> wrote:
>Arturo Magidin wrote: > >> There is a simple reason for that: you don't understand either what >> you quote or what you see. You have misunderstood that quote pretty >> much the same way that you have misunderstood the definition of >> "subspace", of "linear combination", and of pretty much everything you >> have quoted from any topic in mathematics. >> >> You have misinterpreted what "abstraction" means; you seem to think it >> means "to ignore that which may be imprecise". >> >> Mathematics requires abstraction; but it also requires precision. You >> lack the latter, and you wouldn't know the former if it stripped >> naked, painted itself purple, and stood on top of a piano with a big >> "Hello! I'm abstraction" while yelling at the top of its lungs. > >Can you explain what Currying is? How exactly does it relate to arity?
What in the world could your point be?
Yes, currying has something to do with abstraction. No, knowing what currying is does not imply that you understand abstraction in mathematics. No, the fact that you know what currying is does not imply that any of the nonsense you've posted these last few weeks is correct.
Currying is a concept in computer science. If f(x,y) is a binary function then the curried function f(x) is an unary function such that f(x)(y) = f(x,y). So what?