I think you are muddling the concepts of infinity, as in the digits of pi; and undecidability, such as Russel's Paradox.

The first group contains things that are infinite, but we can arbitrarily as many pieces as we want. The second group contains things that cannot be resolved in a logical reasoning system. (I've probably got the language wrong here as well, perhaps someone will jump in with the Oxford version.)

In a similar vein, there is Chaitin's constant, an uncomputable number. I don't see how lazy evaluation will improve that situation. In fact, lazy evaluation doesn't improve the infinity of pi or anything else. It just means we have an explicit mechanism for stopping short, instead of $SIG{HUP}.

Don't get me wrong -- I think lazy evaluation is a great idea. But it's not going to solve any unsolveable problems, just golf down some of the solveable ones.

Updated link (thanks Roy Johnson).

-QM
--
Quantum Mechanics: The dreams stuff is made of

In reply to Re: BlooP and FlooP and GlooP: Turing Equivalence, Lazy Evaluation, and Perl6 by QM
in thread BlooP and FlooP and GlooP: Turing Equivalence, Lazy Evaluation, and Perl6 by jonadab

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