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If relativism is true, particularly moral or cognitive relativism, it implies that truth or moral value is not absolute but is relative to the individuals or cultures holding them. According to this view, there are no universal standards or objective truths that apply to all people at all times. Instead, what is true or right for one person or culture might not be for another.
In the context of moral relativism, if what is morally right or wrong is determined by an individual's beliefs or cultural norms, then it follows that one cannot be in error about moral judgments, as long as they are in accordance with their own beliefs or cultural standards. There is no external or objective standard to which one's moral judgments can be compared and found wanting. Each person's or culture's moral framework is considered equally valid.
Similarly, in the case of cognitive relativism, which applies to beliefs about the world, the idea is that truth is relative to the conceptual framework or belief system of individuals or groups. If cognitive relativism holds, then a person's beliefs are true if they cohere with the rest of their beliefs and the beliefs of their community. There is no independent reality against which these beliefs can be measured for their truthfulness. Therefore, one cannot err in their beliefs if those beliefs are consistent within their own framework.
In summary, if relativism is true, the concept of error as a deviation from an absolute truth or objective standard becomes inapplicable. Instead, what might be considered an error from one perspective is simply a difference in belief or value systems from another perspective. This leads to the conclusion that nobody can ever err, as there is no universal yardstick for measuring error.