If I'm trying to decide what person he is in a sentence, I am making a
inference.
What kind of inference?

Explanation:

analogy :

an inference that if things agree in some respects they probably agree in others

corollary :

(logic) an inference that follows directly from the proof of another proposition

derivation :

a line of reasoning that shows how a conclusion follows logically from accepted propositions

deduction, entailment, implication :

something that is inferred (deduced or entailed or implied)

extrapolation :

an inference about the future (or about some hypothetical situation) based on known facts and observations

presumption :

(law) an inference of the truth of a fact from other facts proved or admitted or judicially noticed

abstract thought, logical thinking, reasoning :

thinking that is coherent and logical

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for the pts back! merry x-mas!