Question

Most useful opportunity to combine conditional statements occurs when the same term appears in the necessary part of one conditional statement and in the sufficient part of another. In the case, those two statements allow you to deduce an altogether new idea which is ____________

Answer 1

When logical conditional statements are combined, particularly when one term is both a necessary part of one and a sufficient part of another, a new deductive inference can be formulated, aiding in clearer philosophical arguments.

Step-by-step explanation:

When combining conditional statements in logic, particularly when one term appears in the necessary part of one statement and in the sufficient part of another, a new inference can be made. This is the process of deductive reasoning, which is essential in philosophy and other disciplines that require a strong understanding of logical structure and argumentative clarity. An example of this type of deductive reasoning involves the logical operations known as modus ponens and modus tollens.

For instance, consider these two statements: if X then Y (Y being a necessary condition for X), and if Y then Z (Y being a sufficient condition for Z). From these, we can deduce a new statement: if X then Z. This logical progression helps philosophers and those in the field of logical reasoning to craft more pointed and clear arguments, particularly when defining concepts such as 'innocent' or 'good' in ethical debates.