Tag Archives: Ashrei

Secrets of Pi

This week’s conjoined Torah portions of Vayak’hel and Pekudei conclude the description of the Mishkan’s construction. The Haftarah for Pekudei is a passage from the seventh chapter of I Kings (the exact verses vary by community) describing King Solomon’s construction of the Jerusalem Temple. One of the most breathtaking structures standing in front of the Temple was the “Molten Sea”, a large bathtub for the kohanim to immerse in (as per Rashi and II Chronicles 4:6). The Tanakh describes that the bath was circular, sitting upon a base of twelve oxen statues, and had a total depth of five cubits, roughly ten feet. It held a volume of alpayim bat, “two thousand baths” of water (I Kings 7:26). In fact, the Hebrew bat (בת) is likely the etymology for the English word “bath”!

Illustration of the First Jerusalem Temple, or Solomon’s Temple, with the Molten Sea on the right.

What’s most perplexing in the description is that we are told the diameter of the circular tub was 10 cubits, yet its circumference was 30 cubits. Throughout history, many have pointed out that this seems to be an error! We all know that the ratio of a circle’s circumference to its diameter is π or Pi, which is 3.1415926 (and so on). So, the Tanakh should have said that the diameter was 10 cubits and the circumference was 31 or 31 and a half cubits. How do we solve this puzzle, and what deeper significance does Pi hold in the Torah?

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The Shiluach HaKen Dilemma

In this week’s parasha, Ki Tetze, we read about the famous mitzvah of sending away the mother bird:

If a bird’s nest happens upon you on the way, in any tree or on the ground, chicks or eggs, and the mother-bird is sitting over the chicks or the eggs, do not take the mother together with her young. You shall surely send away the mother bird, and take the young for yourself, so that it will be good for you and your days will be lengthened. (Deuteronomy 22:6-7)

There are actually two mitzvahs here: not taking the mother together with her children (a negative mitzvah), and sending away the mother bird before taking the children (a positive mitzvah). The Torah does not explain the rationale here, but for most of history the message seemed quite obvious: don’t be cruel! It was so obvious that the Mishnah (Berakhot 5:3) states we should stop people from requesting in their prayers that since God has mercy on birds, He should also have mercy on us. The Rambam (Rabbi Moshe ben Maimon, 1138-1204) comments here that the reason one shouldn’t pray this way is because it is seemingly giving a reason for the mitzvah, yet we do not know the true reason for the mitzvah, except that it is God’s Will. Moreover, the Rambam points out that if it is a matter of mercy, then God should have commanded us not to slaughter or eat any animals at all! Continue reading