To evaluate something’s worth or significance is to?

The action of evaluating something's worth or significance is best described by the term "assess." To assess involves a systematic process of measuring and examining the value or importance of an object, idea, or situation based on specific criteria or standards. This could include considering various factors such as benefits, drawbacks, implications, or overall effectiveness.

In the context of the question, when one assesses, they are actively engaging in a judgment process that weighs evidence and draws conclusions regarding the subject in question. This assessment can inform decisions or opinions about the topic being evaluated.

The other terms, while related in various ways to analysis or judgment, do not specifically capture the process of evaluating worth or significance as effectively as "assess." For instance, to analyze refers to breaking down a subject into its components but does not inherently include evaluation of worth, appreciate emphasizes recognition of value or understanding but lacks the critical judgment aspect, and argue generally pertains to presenting reasons or evidence for a claim rather than specifically evaluating significance.