All numbers are equal Figure out what is wrong with the proof below.pdf
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The document discusses a flawed proof claiming that all numbers in a set are equal for any natural number n. It emphasizes the need to verify the base cases s1 and s2, noting that only s1 has been demonstrated as true. The proof appears incomplete as it does not confirm the validity of s2.
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All numbers are equal Figure out what is wrong with the proof below.pdf
- 1. All numbers are equal Figure out what is wrong with the proof below Proof: let n be a natural number. Let Sn be the statement that in a set of n numbers all number are equal We will prove by induction that Sn is true for all natural numbers n=1,2,3, Solution You need to verify S1 and S2 both are true or not, here you have verified only S1