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If you go through the links, specifically [3], you will find pretty objective definitions of multiple perspective of fairness. This is a mathematical concept.

Actually, you just woefully misunderstand that objectivity, while never perfectly attainable, is indeed a metric, and that the bias of a model is inherently linked to the variety and quality of training data.

OP mentioned nothing about fairness; that's orthogonal to objectivity, and you're projecting your worldview onto OP's.

In most cases, it's not an "arbitrary world view", it's "reality."