Re: Simple yet Profound Metatheorem
- From: Aatu Koskensilta <aatu.koskensilta@xxxxxxxxx>
- Date: Mon, 19 Dec 2005 16:49:19 +0200
Daryl McCullough wrote:
sradhakr says...
http://en.wikipedia.org/wiki/Intuitionistic_logic
Quoting from this site,
"The interpretation of negation in intuitionistic logic is different from its counterpart in classical logic. In classical logic, ~P
asserts that P is false; in intuitionistic logic, ~P asserts that a
proof of P is impossible."
That's true in the context of consistent theories, which are really the only ones people are interested in.
The proofs relevant to the intuitionistic understanding of negation are not formal proofs.
-- Aatu Koskensilta (aatu.koskensilta@xxxxxxxxx)
"Wovon man nicht sprechen kann, daruber muss man schweigen" - Ludwig Wittgenstein, Tractatus Logico-Philosophicus .
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