TeXipedia

gimel

Represents the third letter of the Hebrew alphabet, commonly used in mathematical and religious contexts.

Overview

Appears in mathematical texts, particularly in set theory and cardinal arithmetic where Hebrew letters are traditionally used as special symbols. Often encountered alongside other Hebrew letters like aleph and beth.

  • Used in advanced set theory to denote specific cardinal numbers
  • Appears in mathematical logic and foundations
  • Frequently seen in papers discussing infinite sets and transfinite numbers
  • Sometimes employed in specialized mathematical notation systems

Examples

Using gimel as a Hebrew letter in mathematical enumeration.

{,,}N\{\aleph, \beth, \gimel\} \subset \mathbb{N}
\{\aleph, \beth, \gimel\} \subset \mathbb{N}

Representing the third cardinal in the Beth number sequence.

3=\beth_3 = \gimel
\beth_3 = \gimel

Denoting a specific infinite cardinal number in set theory.

A=0|A| = \gimel_0
|A| = \gimel_0