The mental attitude and worldview that tends to interprete facts as significant only or merely in relation to man or mankind.
Of course, it would be probably impossible to do otherwise. However, as the self-understanding of specific people depends of the historical (or transient) circumstances, the anthropocentric view should be carefully and permanently scrutinized. Indeed even the most abstract concepts and models, as well as the supposedly "objective" observation remain necessarily products of the human senses and mental organization.
From the Ptolomeic cosmology to the so called anthropic principle, we should all be always ready to recant from our own imaginations and illusions. Conversation, reciprocal critique and Popperian falsifiability are tools that should be put to more frequent use.