"Bends"?
There /is/ a way to describe logic that's flexible. It's called fuzzy logic.
The best way I know of to describe fuzzy logic is the tadpole paradox
Imagine taking a picture of a tadpole. Then imagine waiting until it turns into a frog and taking another picture. If you show either picture to anyone on the street, they'll be able to identify it as either a tadpole or a frog.
It stands to reason, then, that if you took one picture, every second of every day, of the creature, that eventually, you would have one picture of a tadpole, followed by a picture of a frog.
The problem is, as you get closer and closer, it becomes harder and harder to distinguish the tadpole from the frog, and when you get past a certain point, literally any picture will be as good as any other.
An easy way to resolve this, is to say that the picture at the beginning is 100% tadpole, and that every day, the creature loses some of its "tadpole-ness". The picture of the frog, on the other hand, is 100% frog.
Now you can look at any frame in the series, and correctly identify it as being a frog or a tadpole (or exactly halfway between), and you can also find the frame exactly halfway between that we wouldn't have been able to identify otherwise.
The best thing about this, is that now that we can define the creature as being more frog than tadpole, or more tadpole than frog, we can use conventional rules of logic and math (including statements like "Since this creature is a frog... "). The "tadpole" and "frog" sets of pictures still run into eachother, and there still impossible to tell apart in the middle, but thanks to putting them in "fuzzy" sets, you can tell them apart if, for instance, you have to tell a computer what a tadpole is and what a frog is (since computers, and anything that runs on logic, need an /exact/ definition of what a tadpole is).
If you're looking more toward things that can't fit into conventional logic and arithmetic, you want to look at recursion.
Recursion happens when something defines itself. A good example is the barber paradox.
The barber paradox states that the barber shaves all men in town that don't shave themselves. This is impossible, because, well, who shaves the barber?
Things that define themselves are traditionally hard to put into categories, and often times it's impossible for them to exist the way they're described. Logic usually depends on puttings in categories, so attempting to put things like that in categories usually requires "bending" the rules a little.
2007-08-10 16:58:20
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answer #1
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answered by Just Jess 7
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Logic is common sense based, truth is beyond common sense and harder to come by. Truth bends all things including logic.
2007-08-10 23:41:04
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answer #2
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answered by Sean 7
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logic is only as good as the information you use to reason it thought.... so lack of information, or the promotion of mis information bends logic.
2007-08-10 23:44:37
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answer #3
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answered by Anonymous
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