if we reason from the fact that all A's observed so far are B's to the conclusion that all A's whatsoever are B's, Which kind of induction would we be utilizing?

I'm not sure but i think it's disjunctive syllogism.

i was wrong its actually induction by enumeration.

yes it is as far as i know

I hate when they play around with words it's so confusing.

i know

No, the type of induction you mentioned is not disjunctive syllogism. In fact, it is an example of a specific type of inductive reasoning called "inductive generalization" or "inductive reasoning by enumeration."

Inductive generalization involves making a general conclusion based on specific observations or examples. In this case, you are reasoning from the fact that all A's observed so far have been B's to the conclusion that all A's whatsoever are B's. This type of reasoning assumes that what has been observed in the past will continue to hold true in the future or in unobserved cases.

To apply this kind of induction, you need to:

1. Observe a sufficient number of instances where A and B are related.
2. Assess the representativeness of the observed instances.
3. Draw a conclusion that extends beyond the observed instances and claim that all A's whatsoever are B's.

It's important to note that inductive reasoning is not always guaranteed to be true. It involves making generalizations based on a limited sample of observations, so there is always a degree of uncertainty. Nonetheless, inductive reasoning is commonly used in scientific research and everyday life to make predictions and form hypotheses.