The Conservation of Probability (is) a principle that states something very simple: The sum of the probabilities for all different possible outcomes of some measurement must be 1 - that is, something must happen. -- "Beyond Star Trek", Lawrence M. Krauss
That's the very reason that inductive and deductive reasoning are equally valid. More than that, they are two parts of the same whole - probability.
People inducing incorrectly makes induction no less valid in the same way people deducing incorrectly makes deduction no less valid. In fact, if you apply the same logic to deduction that you're using to call induction illogical, you'd be forced to call deduction illogical as well.
---
I ate a hooker half a bottle of knife.
