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<p><b>New page</b></p><div>==Does one equal zero?==<br />
<br />
Logic can be perverted to prove a number of irrational concepts. Here's an example. Using algebra, we can (supposedly) prove that one equals zero:<br />
<br />
1. a = b + 1 1. Given<br />
2. (a-b)a = (a-b)(b+1) 2. Multiplication Prop. of =<br />
3. a2 - ab = ab + a - b2 - b 3. Distributive Property<br />
4. a2 - ab -a = ab + a -a - b2 - b 4. Subtraction Prop. of =<br />
5. a(a - b - 1) = b(a - b - 1) 5. Distributive Property<br />
6. a = b 6. Division Property of =<br />
7. b + 1 = b 7. Transitive Property of = (Steps 1, 7)<br />
8. Therefore, 1 = 0 8. Subtraction Prop. of =<br />
<br />
If you're wondering where the perversion is, look a little closer at the transition from line 5 to line 6. don't forget that a-b-1 = 0. when you divide by zero, you can prove almost anything.<br />
[[category:scientific arguments]]<br />
[[category:ignorance & Misinformation]]<br />
[[category:logical fallacies]]</div>Pile