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Fuck, now based on my last post I'm going nuts. Why the fuck is induction considered logically sound to begin with. Here's a typical mathematical proof:
We assume f(n). We demonstrate it hold true for the base case. We assume it holds true for f(n), then we show it hold's true for f(n+1) (or the next n)... and our conclusion is... therefore f(n) must be true... WTF?!?!
How is that logically sound?
EDIT: Ok, since induction itself is driving me nuts I wasn't very articulate there. To rephrase that, you have a hypothesis, you demonstrate it holds true for the base case(s), you assume it holds true for n, and then prove that it holds true for n+1, therefore it is true for n....
WTF?!?!
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"The Greatest enemy of knowledge is not ignorance, it is the illusion of knowledge." -Stephen Hawking
"First they came for the communists, and I did not speak out— because I was not a communist;
Then they came for the socialists, and I did not speak out— because I was not a socialist;
Then they came for the trade unionists, and I did not speak out— because I was not a trade unionist;
Then they came for the Jews, and I did not speak out— because I was not a Jew;
Then they came for me— and there was no one left to speak out for me." -Martin Niemöller
Last edited by shaolin_Z on Jun-03-2008 at 20:42
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