Final answer:
The principle of sufficient reason states that everything must have a reason. Even if this principle is false, relying on reasoning is essential to arrive at well-founded beliefs.
Step-by-step explanation:
The principle of sufficient reason (PSR) states that everything must have a reason. However, if we suppose that PSR is false and we come across something for which we cannot find a current explanation, it does not mean that we can simply accept it as a brute fact without looking for an explanation. In philosophy, the use of reasoning is essential in order to evaluate claims and strive for a coherent system of beliefs. Reasoning allows us to hypothesize, work out consequences, assess coherence, and generate plausible explanations. It is through reasoning and evidence that we can come to understand and explain the world around us. Therefore, even if the principle of sufficient reason is false, relying on reasoning is still crucial in order to arrive at well-founded beliefs.