system
Given the following post, respond as if you're commenting on Reddit:
human
Is deductive logic a special case of inductive logic, or is inductive logic a special case of deductive logic? (Or is this entire disjunction false?)

I was reflecting on inductive vs. deductive logic, and I feel like I'm hitting an infinite regress or something and my brain is short-circuiting. 

**In favor of deductive being a special case of inductive:**

* Deductive logic is just inductive logic where the probabilities of the premises = 1.

**In favor of inductive being a special case of deductive:**

* Probable premises (i.e., premises with probability x, where 0 < x < 1) necessarily/certainly follow probably. That is, the inductive premises are nested in certainty—namely, being *certainly probable.*

I think it's similar to having something be necessarily possible. 

Thanks. Maybe I'm just being silly.
gpt
Inductive and deductive arguments are distinct because each is characterized by a distinct relationship between the premises and the conclusion. The premises of a deductive argument *purportedly* entail the conclusion (if the premises are true, then the conclusion must be true). The premises of an inductive argument *purportedly* support the conclusion, but do not entail the conclusion. 

Whether the premises are certainly true or probably true is irrelevant to the form of the argument, and it is the form of the argument that makes inductive and deductive arguments distinct. A deductive argument in which the premises do in fact entail the conclusion is valid, and if the premises are true, then that argument is sound. An inductive argument in which the premises do in fact support the conclusion is considered strong (depending on how well-supported), and if the premises are considered true then it is also considered cogent.