Final answer:
Postmodernism is the philosophical perspective that rejects shared, objective meanings and asserts that all realities are social constructs with no absolute truth.
Step-by-step explanation:
The answer to the question of which philosophical approach argues that the organizing narratives of history are over and that progress has led to a condition where there are no shared, objective meanings is postmodernism. This philosophical perspective contends that there is no absolute truth and that what we perceive as reality is the result of social constructs, subject to individual interpretation. Postmodernism asserts that all apparent realities are only constructs, making knowledge and truth relative and skeptical.