Jayson_Virissimo comments on Paraconsistency and relevance: avoid logical explosions - Less Wrong Discussion
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Comments (16)
A false statement isn't sufficient to obtain logical explosion, but it is necessary. Most likely, you are referring to a "proof" that introduces a premise that contradicts an earlier stated premise without any of the students noticing (which is a very cool trick indeed). Contradictory premises are necessary and sufficient to obtain logical explosion.
If it's like the "I am god" trick, then the contradiction is using both 1=1 and 1=2 at the same time.