According to Protagoras, can premises in deductive logic be proven true?

Protagoras, a fundamental figure in pre-Socratic philosophy, is known for his assertion that "man is the measure of all things." This perspective points to the idea that truth is subjective and can vary from person to person. In this light, he argued that absolute truth is elusive, particularly when it comes to deductive logic, which relies on premises being universally accepted as true to derive valid conclusions.

Thus, under Protagoras' view, premises in deductive logic cannot be proven true in an absolute sense because they are contingent on the subjective experiences and beliefs of individuals. Therefore, the notion that premises can be definitively proven true is inconsistent with his philosophical standpoint, leading to the conclusion that they cannot be proven true at all. This aligns with the idea that truth may be context-dependent and varies among individuals, rejecting the possibility of universal premises in deductive logic.