Via itsatumbleweed on Reddit.
To prove irrational square root two, Suppose there are integers p and q with p over q entirely reduced and when their ratio is taken, root two is produced. squaring both sides of this faulty equation yields p squared over q squared is two, a relation so p squared is even, a fact that is true if and only if it is divisible by two. But since two is prime, evenness of p squared says that p is even, (a fact that Euclid declared). We can now deduce a little bit more; the number two q squared is divisible by 4. But then q squared is divisible by two And we know that this fact, is simply not true Because then q is even, that just cannot be because p,q are both even, contradiction, QED.
Monday, November 4, 2013
Proof by Poem
I was reading Reddit last night and came across this poem. Quite elegant!