Browse Definitions :
Definition

aleph

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

Continue Reading About aleph

Start the conversation

Send me notifications when other members comment.

Please create a username to comment.

-ADS BY GOOGLE

File Extensions and File Formats

Powered by:

SearchCompliance

  • California Consumer Privacy Act (CCPA)

    The California Consumer Privacy Act (CCPA) is legislation in the state of California that supports an individual's right to ...

  • compliance audit

    A compliance audit is a comprehensive review of an organization's adherence to regulatory guidelines.

  • regulatory compliance

    Regulatory compliance is an organization's adherence to laws, regulations, guidelines and specifications relevant to its business...

SearchSecurity

  • spear phishing

    Spear phishing is an email spoofing attack that targets a specific organization or individual, seeking unauthorized access to ...

  • bridge

    A bridge is a class of network device that’s designed to connect networks at OSI Level 2, which is the data link layer of a ...

  • browser isolation

    Browser isolation is a cybersecurity model for web browsing that can be used to physically separate an internet user’s browsing ...

SearchHealthIT

SearchDisasterRecovery

  • disaster recovery team

    A disaster recovery team is a group of individuals focused on planning, implementing, maintaining, auditing and testing an ...

  • cloud insurance

    Cloud insurance is any type of financial or data protection obtained by a cloud service provider. 

  • business continuity software

    Business continuity software is an application or suite designed to make business continuity planning/business continuity ...

SearchStorage

  • business impact analysis (BIA)

    Business impact analysis (BIA) is a systematic process to determine and evaluate the potential effects of an interruption to ...

  • RAID (redundant array of independent disks)

    RAID (redundant array of independent disks) is a way of storing the same data in different places on multiple hard disks to ...

  • dedicated cloud

    A dedicated cloud is a single-tenant cloud infrastructure, which essentially acts as an isolated, single-tenant public cloud.

Close