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We are all familiar with Rebbi Yishmael's 13 principles for expounding the torah, however there are other systems not included in his list. I remember once hearing a shiur that there are over 40 ways to expound the torah. Is there an authoritative list of every way that is used by chazal to expound the torah?

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parshanut-theory? –  Double AA Dec 10 '12 at 18:56
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@DoubleAA, darshanut theory, more like. –  msh210 Dec 10 '12 at 18:57
    
40? What about Shiv'im Panim? –  Seth J Dec 12 '12 at 16:12
    
@SethJ I think those are ways of understanding the intention/meaning of the torah as opposed to (logical?) methods for expounding it. –  user2110 Dec 12 '12 at 16:20

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Bamidbar Rabba 2:3 explains that there are 49 ways to expound the torah, but does not list them

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I suspect you are referring to the famous teaching of Rabbi Eliezer the son of Rabbi Yosi HaGlili that enumerates 32 middos (principles) for interpreting the Torah. A detailed discussion of these 32 principles can be found in the back of Tractate Brachos in standard editions of the Vilna Shas, a few pages after the Mevoh HaTalmud.

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