What is aleph? - Definition from WhatIs.com
Part of the IT standards and organizations glossary:

In mathematics, aleph, the first letter of the Hebrew alphabet, in its uppercase form ( ) denotes numbers representing the sizes of infinite set s. Such numbers are known as transfinite cardinal number s, or transfinite cardinals.

The smallest transfinite cardinal is , called aleph null or aleph nought. This is the cardinality of (the number of elements in) the set of natural number s. It is also the cardinality of the set of integer s and the set of rational number s. This number is denumerable, in the sense that the elements of any set with cardinality can be entirely defined by writing a list, or at least the first few elements of a list. For example, the set of integers can be listed as {0, 1, -1, 2, -2, 3, -3, ...}. Although it is not possible to completely write out this list, its elements are implied by the continuation symbol (...).

The cardinality of the set of real number s is larger than . The real numbers cannot be denoted by any sort of list. This was proven by the German mathematician Georg Cantor (1845-1918), and produced the counterintuitive result that some infinities are larger than others.

See Mathematical Symbols .

This was last updated in September 2005
Posted by: Margaret Rouse

Related Terms

Definitions

  • SAS 70 (Statement on Auditing Standards No. 70)

    - SAS 70 (Statement on Auditing Standards No. 70) was a widely recognized auditing standard that provided guidance on auditing a service organization's internal controls and reporting its customers' ... (SearchCIO.com)

  • compliance

    - Compliance is the act of being in alignment with guidelines, regulations and/or legislation. Organizations must ensure that they are in compliance with software licensing terms set by vendors, for ... (SearchDataManagement.com)

  • public sector

    - The public sector is the segment of an economic system that is controlled by government; it contrasts with the private sector, which is run by private citizens. (WhatIs.com)

Glossaries

  • IT standards and organizations

    - Terms related to information technology (IT) standards, including definitions about IT organizations and words and phrases about policies and compliance.

  • Internet applications

    - This WhatIs.com glossary contains terms related to Internet applications, including definitions about Software as a Service (SaaS) delivery models and words and phrases about web sites, e-commerce ...

Ask a Question About alephPowered by ITKnowledgeExchange.com

Get answers from your peers on your most technical challenges

Tech TalkComment

Share
Comments

    Results

    Contribute to the conversation

    All fields are required. Comments will appear at the bottom of the article.