Final answer:
The student's question is about a logical inference known as a disjunctive syllogism. This form of argument suggests that if one disjunct in a disjunction is false, the other must be true, following the principles of valid deductive inferences.
Step-by-step explanation:
The question appears to be related to logical inference, specifically a disjunctive syllogism in the context of valid deductive inferences. A disjunctive syllogism is a common form of argument where, given a disjunction (X v Y), if one disjunct (X) is false, the other disjunct (Y) must be true. The immediate conclusion of the signed formula F X v Y, assuming 'F' denotes 'false', would imply that if X is false, then Y must be true to satisfy the disjunction. This logical form is widely used in mathematical proofs and problem-solving.
An example using valid deductive inference would be if you have a scenario where 'If it is raining, then the streets are wet (R v W)'. If we know 'It is not raining' (F R), we can conclude 'The streets must be wet' (W), provided there are no other factors influencing the wetness of the streets.