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Maths and swindles

Since the time of Archimedes already, science has been used to detect fraud. Today, the administration uses mathematics, via sophisticated algorithms, to unmask those who hide profits or income. As for the « fallacious proofs », are they swindles? They are closer to magic tricks where the unnoticed error constitutes the « trick » that the game consists of spotting, and are an excellent pedagogical tool to highlight the implicit properties used in certain reasonings.