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Re: x*x+1=0

From: Jan Hidders <hidders_at_REMOVE.THIS.win.tue.nl>
Date: 22 Jan 2001 09:42:01 GMT
Message-ID: <94gv99$c38$2@news.tue.nl>

David Cressey wrote:
> There's an interesting book, "Laws of Form" by G. Spencer Brown, in
> which he explores the consequences of a certain 4 valued Boolean
> logic.
>
> x*x + 1 = 0 can be rendered in "self referential" form as x = -1/x
>
> The assertion, "This assertion is false" has no solution, in the domain
> (false, true).
>
> But if we add a "Boolean Imaginary" as the solution to the above
> assertion, and its complement, we get a very "interesting" logical
> system, in which paradoxes are simply ordinary assertions, with
> imaginary components in the solution.

Sounds interesting. Do you know what the 4th boolean value was?

-- 
  Jan Hidders
Received on Mon Jan 22 2001 - 03:42:01 CST

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