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| CONTRADICTION LEADS TO MISERIES. (photo source) |
It is very powerful to use contradictions to show some systems that are not self-consistent. To prove whether there are contradictions, the only thing you need is logical deduction, then soon or later you will know it. But once it was being proved that a system is self-consistent or there is no contradiction, then it is a perfect well-functioning system, that's the reason why Riemannian geometry and Hyperbolic geometry are being widely accepted by the whole world even they go against people's intuition.
