Who knows √-1?
The traditional Passover song "Echad - mi yodeya" implies a possible presupposition that there is a Jewish significance to be found for each number.
What significant Judaism facts are there about the square root of -1?
Who knows √-1?
The traditional Passover song "Echad - mi yodeya" implies a possible presupposition that there is a Jewish significance to be found for each number.
What significant Judaism facts are there about the square root of -1?
√-1
is an extremely important number in Judaism. Of course, everybody knows √-1
is equal to i
. We also know that i
is equivalent to Hashem, as the posuk says (actually many p'sukim say so)
אני ה'
I am Hashem.
√-1 is very important in Judaism because it teaches that what appears to be "imaginary" actually exists and has a major influence on the universe. The minim who pretend that Olam haruach is "imaginary" because it is not immediately visible are defeated because they are confronted with this fact. Another point is that the √-1 shows that the universe cannot exist without the "imaginary" component even though we try to ignore it.
As we all know, √-1
is equal to j
. This is the J strand of the Bible, according to the Documentary Hypothesis. It is particularly important that we remember that j = √-1
, because we must always keep in mind that the Documentary Hypothesis is imaginary.
√-1 is the imaginary unit, used as the basis for all imaginary numbers, which are used to count imaginary things. Generally speaking, imaginary things are a theoretical concept, invented by mathematicians so that they can plead that the imaginary numbers that they also invented have a practical application. However, there is one real-world killer application of imaginary numbers - counting sheep when one is plagued with insomnia. As the sheep in question are imaginary (unless one is a shepherd, I guess), they require imaginary numbers for the counting, so the only way the cure is effective is if √-1 is employed.
Unfortunately for Achashveirosh but fortunately1 for us, when he suffered from insomnia, imaginary numbers were yet to be invented for centuries, so the sheep-counting therapy was unavailable, and he had to resort to reading logs, which, again fortunately1, again had been invented, if rudimentarily.
1. By which I mean "thanks to God's intervention in the history of mathematics." There; I said it.