[Thinking outside the box] - A New Kind of Science: The NKS ForumA New Kind of Science: The NKS Forum
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Thinking outside the box
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Posted by: Lawrence J. Thaden
When logicians began to think outside the box with respect to the dichotomy of True vs False in Aristotelian logic, they came up with a tertia datur, namely the undecided middle term. This spawned an enormous amount of mental distinctions, for there came to be many different concepts of what the middle term should represent.
In effect, all this effort was thinking within a new box outside the Aristotelian box.
In fact proponents of fuzzy logic thought they were getting out of the new box in proposing the middle term to be a range of real values.
Now comes this Boolean extension, a three valued logic, claiming to jump out of the real box of fuzzy logic and back into the discrete logic box, only to say: let’s get out of the box of an undecided middle and go for a bifurcated True.
Is this saying: there is only one False, but more than one aspect to True?
It may sound appealing to one disposed to relativistic truth, for then you might conclude that there are many truths just as there are many valued logics.
However, associating truth and a bifurcated True is in itself a bit of a jump, for there is just as much truth to False as there is to the many aspects of True.
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