Nimble, here’s what’s going on. You were shortchanged in your Logic class, although unfortunately the corrective process was muddled by your stubbornness in face of knowledgeable authority here.
When I took a Logic class 3 or so years ago, we also had to buy an Introduction to Logic book, maybe it’s the same one as what you have (hardcover, pinkish tint, mathematical graphs splashed across the page, I forget the author). I was likewise taught that Induction is *defined* as logic of probabilities, whereas Deduction is logic of certainties. Upon reflection, I realized that this modern definition (and it is only modern, because Aristotle, the very authority you cite, did not define it this way) is actually proof of modern philosophers’ laziness and conceptual fuzziness. Originally we inherited the Classic definitions of the two words, which everyone has been trying to convince you of here:
Deduction, given true premises, will necessarily give a true conclusion, but it does not provide you with any new knowledge, nor can you verify the said premises by another process of deduction.
Induction has room for error, though it can still provide neecessarily true conclusions (if you take context into account), and is the only way of validating deductive premises, and for arriving at any new knowledge.
Aristotle, however, didn’t develop inductive logic as much as the deductive syllogism, so since the modern philosophers weren’t babyfed by him with all of the answers, they decided to proclaim that the Inductive logic had no answers to begin with. In other words, due to impotence they decided to switch the definition of Induction as something that *by design and conception* can never be certain, and that we should not demand precise and definite answers from philosophers who have none. However, if one assumes some arbitrary rules and applies them in dogmatic and acontextual ways, he can produce some semblance of a syllogism, and this modern professors call Deductive logic.
So, if I were you, I wouldn’t go around saying I know everything about logic, after taking a course entitled “Introduction to Logic”, and moreover taking a course that is based on modern philosophy and modern theories of logic and linguistics. That’s why I said you were shortchanged; I hope the money you paid for the course at least gave you a checkmark for General Education requirements, because it bought little else.