The difference between Weight of the world and Weltschmerz
When used as nouns, weight of the world means the distressing combined burden of the problems, doubts, imperfections, and responsibilities associated with human existence, whereas weltschmerz means world-weariness.
check bellow for the other definitions of Weight of the world and Weltschmerz
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Weight of the world as a noun (idiomatic):
The distressing combined burden of the problems, doubts, imperfections, and responsibilities associated with human existence.
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Weltschmerz as a noun (sometimes, capitalized):
World-weariness; an apathetic or pessimistic view of life; depression concerning or discomfort with the human condition or state of the world.