Final answer:
A Pyrrhonian skeptic would suspend judgment on their own omniscience as claiming to know whether or not they are omniscient would contradict their fundamental principles. Their skepticism aligns with global skepticism and the view that certainty and justification for beliefs are not attainable.
Step-by-step explanation:
The question at hand involves Pyrrhonian skepticism, specifically whether a Pyrrhonian skeptic can suspend judgment regarding their own omniscience. According to Pyrrhonian skepticism, all judgment should be suspended, as they posit that claiming any form of certain knowledge is not justifiable. This form of skepticism pushes the idea that one must refrain from making assertions about reality in order to avoid the risk of error, which entails not claiming omniscience.
In addressing their own omniscience, a Pyrrhonian skeptic would likely argue that to claim either omniscience or the lack thereof would be to claim knowledge that they assert is unattainable. Thus, claiming not to be omniscient would itself be making a certain assertion that goes against their fundamental principles. This skeptical stance aligns with global skepticism, which challenges the possibility of certainty and justification for all beliefs. Therefore, a Pyrrhonian skeptic would, indeed, suspend judgment about their own omniscience, still adhering to their overarching philosophy of suspending all judgment.
With an understanding of Pyrrhonian skepticism, philosophical skepticism, and the nature of knowledge, this suspension of judgment can be seen as a consistent application of their philosophy, which criticizes the assertion of possessing any concrete knowledge, thereby avoiding the paradox of claiming knowledge about one's level of knowledge, including omniscience.