The Beth Hatefutsoth, or Museum of the Diaspora (the Diaspora relates to the dispersal of the Jewish people worldwide), is quite possibly the finest museum in Israel and certainly the most innovative, yet it doesn't contain a single exhibit of any age.
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Although the Museum of the Diaspora is one of the best museums Israel has to offer, it doesn't have any old artifacts on display.
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The Museum of the Diaspora has numerous ancient artifacts on display.