Nadav and Avihu: Sinners or Saints

The Torah doesn't directly tell us whether or not Nadav and Avihu sinned. What does the Chumash say and what do Chazal tell us they did?

The parallel between the inauguration of the Mishkan and Akeidat Yitzchak.

Why do Nadav and Avihu have a special status at Ma'amad Har Sinai in contrast to Elazar and Itamar (Shemot 24)? Why are they not there at the end of that episode?

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Delivered at the OU Israel Center, March 28, 2019 (21 Adar II 5779)