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  • 20:32, 28 January 2022 0kelvin talk contribs created page Mistakes regarding proofs (Created page with "I had a teacher who would repeat many times in different classes '''"If you write 0 = 0 I'm going to give you a zero in the exam!"'''. Suppose we want to prove that <math>a + b = c + d</math>. We begin by saying that <math>a + b = x</math>. Then we say that <math>c + d = x</math>. Therefore <math>x = x \iff a + b = c + d</math>. Eureka! We didn't prove anything! What is wrong in the reasoning that we just did? The mistake is that we assumed that the equation is true wit...")