What is the world for Hannah Arendt?

Hannah Arendt once wrote that to grasp Heidegger’s philosophy one needed to properly explicate the place of the world in his writings. One could say much the same about Arendt. Arendt draws on Heidegger’s understanding of the world as developed in Being and Time. For Heidegger, “the world” at first means quite simply the environment, that is what is around us. He writes that:

The answer to the question of the “who” of everyday Dasein is to be obtained by analysing that kind of Being in which Dasein maintains itself proximally and for the most part. Our investigation takes its orientation from Being-in-the-world — that basic state of Dasein by which every mode of its Being gets co-determined. … In our ‘description’ of that environment which is closest to us — the work-world of the craftsman, for example, — the outcome was that along with the equipment to be found when one is at work [in Arbeit], those Others for whom the ‘work’ [“Werk”] is destined are ‘encountered too.’ (153)

This is quite intuitive to grasp, really — our world consists of not just other objects but other subjects, too. Our mode of being with these other subjects is very important for Heidegger’s own project, which is to answer the question of Being (the Seinsfrage). Our mode of encountering Others is different than how we encounter Things:

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