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Question
would it be true to say that all of mathematics and science fall under the category of Binah, or is that false?
Answer
From what I remember from my days of math, it is definitely considered bina, which is to derive a conclustion from other facts. Physics as well, but for example, I don't think memorizing the parts of the body in biology would be considered "deriving one thing from another". I'm not familiar with all forms of the sciences, but just "plug in" the aforementioned definition.

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