Well I'm not sure about proving 1=2.
But there are logical methods for reasoning in situations where you can assert two inconsistent statements at the same time.
The way it works is that some statements are true, some are false, and some are both true and false.
Normally if you show that something is both true and false - then you can deduce anything from that.
But if you reject one of the laws of normal propositional logic, normally this one:
that if you know that either A or B is true and you know A is false, then B must be true.
If you reject that method of deduction, you can get logical system which permits some statements to be both true and false.
Paraconsistent logic
But there are logical methods for reasoning in situations where you can assert two inconsistent statements at the same time.
The way it works is that some statements are true, some are false, and some are both true and false.
Normally if you show that something is both true and false - then you can deduce anything from that.
But if you reject one of the laws of normal propositional logic, normally this one:
that if you know that either A or B is true and you know A is false, then B must be true.
If you reject that method of deduction, you can get logical system which permits some statements to be both true and false.
Paraconsistent logic
About the Author
Robert Walker
Writer of articles on Mars and Space issues - Software Developer of Tune Smithy, Bounce Metronome etc.Studied at Wolfson College, Oxford
Lives in Isle of Mull
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