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Proof that 2=1 - AoPS Wiki. Contents. 1 Proof. 2 Error. 3 Note: 4 Alternate Proof. 5 Error. Proof. 1) . Given. 2) . Multiply both sides by a. 3) . Subtract from both sides. 4) . Factor both sides. 5) . Divide both sides by. 6) . Substitute for . 7) . Addition. 8) . Divide both sides by . Error.
1=2: A Proof using Beginning Algebra. The Fallacious Proof: Step 1: Let a = b . Step 2: Then , Step 3: , Step 4: , Step 5: , Step 6: and . Step 7: This can be written as , Step 8: and cancelling the from both sides gives 1=2. See if you can figure out in which step the fallacy lies.
12 Ιουλ 2022 · Some people think that 1=2, and the math actually makes sense. But can you prove them wrong and find the flaw in their logic?
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15 Ιαν 2013 · The work of G. Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do. The later theorem alluded to, that $1+1=2$, appears in section $\ast110$:
26 Φεβ 2015 · Problem: Prove that $1^2+2^2+\cdots+n^2=\frac{n(n+1)(2n+1)}{6}$ for $n \in \mathbb{N}$. My work: So I think I have to do a proof by induction and I just wanted some help editing my proof. My atte...
8 Μαρ 2015 · The inductive hypothesis states that the sum of $2^i$ for $i=0, 1, 2, ...$ is $2^{n+1}-1$. If that hypothesis is true at $n$, then it is also true at $n-1$. That is, it is assumed to be true, for the moment, at any value including $n-1$. If we believe this, then the sum up to $n-1$ is $2^{n-1+1}-1$.
