BABYLONTHE LEARNING CENTREThe encyclopedia
QUESTION GUIDE

Why are there 231 Gates?

Twenty-two letters produce 231 distinct pairs when each pair is counted once.

Understand the idea

Take the first letter and pair it with each of the other 21. The next letter has 20 new partners, because its pair with the first letter is already counted. Continue through 19, 18, and finally one new pair. The sum is 231. The equivalent calculation is 22 × 21 ÷ 2. Division by two removes the repeated count of each unordered pair: Aleph–Bet and Bet–Aleph use the same two members. A self-pair such as Aleph–Aleph is outside this count. Babylon gives the letter pair a teaching relationship; the arithmetic alone does not supply its meaning. Reading a pair in two directions can produce different interpretive questions without increasing the number of distinct pairs. The first collection here covers Aleph’s 21 partners. It is one part of the full structure, rather than a claim that all 231 pair teachings have been published.

MAKE IT PRACTICAL

An example to work with

Use four letters first. AB, AC, AD, BC, BD, and CD make six pairs: 4 × 3 ÷ 2. Reversing BA does not add a seventh. Once the count is clear, compare Aleph–Bet with Aleph–Gimel and ask what changes with the partner.

✳
A QUESTION TO CARRY

Can you distinguish the count of pairs from the meaning given to a pair?

← Back to vocabulary

Part of Babylon’s authored teaching framework. Symbolic correspondences offer a language for reflection and learning.