You rely on deductive reasoning because for Deductive is the deduction from a fact, it’s accurate but on the other hand Inductive reasoning is the deduction from repeating pattern. You estimate and not positive of the exact number which gives it a less percentage of reliability on it as much. I think Fundamental Theorem the name was created when the person who founded the relation between the integral and the anti-derivative. The integration meant the area under a curve or between the curve and the x-axis. Fundamental theorem explained the anti-derivate being the same as the integration, which means we can find the area using the anti-derivative. Its implications would be deductive explanation. They both give the conclusion that can be drawn from something.