Meaning of "aleph-zero" in the English dictionary

PRONUNCIATION OF ALEPH-ZERO

aleph-zero  [ˌɑːlɪfˈzɪərəʊ]

GRAMMATICAL CATEGORY OF ALEPH-ZERO

Aleph-Zero is a noun.

A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES ALEPH-ZERO MEAN IN ENGLISH?

Aleph number

In set theory, a discipline within mathematics, the aleph numbers are a sequence of numbers used to represent the cardinality of infinite sets. They are named after the symbol used to denote them, the Hebrew letter aleph. The cardinality of the natural numbers is , the next larger cardinality is aleph-one, then and so on. Continuing in this manner, it is possible to define a cardinal number for every ordinal number α, as described below. The concept goes back to Georg Cantor, who defined the notion of cardinality and realized that infinite sets can have different cardinalities. The aleph numbers differ from the infinity commonly found in algebra and calculus. Alephs measure the sizes of sets; infinity, on the other hand, is commonly defined as an extreme limit of the real number line, or an extreme point of the extended real number line.

TRANSLATION OF ALEPH-ZERO

Find out the translation of aleph-zero to 25 languages with our English multilingual translator.

The translations of aleph-zero from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «aleph-zero» in English.

• Translator English - Chinese: ALEPH零
• Translator English - Spanish: aleph - cero
• English: aleph-zero
• Translator English - Hindi: Aleph शून्य
• Translator English - Arabic: أليف الصفر
• Translator English - Russian: алеф- нуль
• Translator English - Portuguese: aleph zero
• Translator English - Bengali: aleph-জিরো
• Translator English - French: aleph - zéro
• Translator English - Malay: Alfa-sifar
• Translator English - German: Aleph - Null
• Translator English - Japanese: アレフ·ゼロ
• Translator English - Korean: 알레프 제로
• Translator English - Javanese: Aleph-zero
• Translator English - Vietnamese: aleph - zero
• Translator English - Tamil: அல்ப் பூஜ்ஜியம்
• Translator English - Marathi: एलेफ-शून्य
• Translator English - Turkish: aleph sıfır
• Translator English - Italian: aleph zero
• Translator English - Polish: alef zero
• Translator English - Ukrainian: алеф - нуль
• Translator English - Romanian: Aleph - zero,
• Translator English - Greek: aleph - μηδέν
• Translator English - Afrikaans: aleph -zero
• Translator English - Swedish: aleph - noll
• Translator English - Norwegian: Aleph - null

10 ENGLISH BOOKS RELATING TO «ALEPH-ZERO»

Discover the use of aleph-zero in the following bibliographical selection. Books relating to aleph-zero and brief extracts from same to provide context of its use in English literature.

Time and Ethics

Time // includes aleph-zero units of value, since // includes an aleph-zero number of valuable cubes of space of the size c. Thus the correct ... U aleph-zero aleph- zero aleph-zero aleph-zero aleph-zero The same holds for the not-A universe.

H. L. Dyke, 2003

Acting Beautifully: Henry James and the Ethical Aesthetic

Aleph-zero. How is this possible? How can you add 1 to infinity and, on the side of ordinality get something bigger (i.e., be able to count it), but still remain with the same cardinality? And if this is nevertheless the case, how do you then go ...

Sigi Jottkandt, 2006

Seeking Ultimates: An Intuitive Guide to Physics, Second Edition

The well-defined, but surprising, properties of aleph-zero were illustrated by Hilbert as follows. A hotel had many (aleph-zero) rooms and many (aleph-zero) guests, each guest occupying one room. The hotel was full. When an additional guest ...

Peter T. Landsberg, 1999

Time, Change and Freedom: An Introduction to Metaphysics

The number of all whole numbers is called “aleph-zero,” , by mathematicians. “ Aleph-zero” is the name of countable infinity. An interesting peculiarity of aleph- zero is that if you add one to it, you still get aleph-zero. If you add one to the number ...

L. Nathan Oaklander, Quentin Smith, University Distinguished Faculty Scholar and Professor of Philosophy Quentin Smith, 2005

Memento Mori

<DotE> Look, Aleph-Zero, I'm getting really sick of you! Why can't you just find another site? I've half a mind to report you to the moderators! <Aleph-Zero> On what basis? I've said nothing to get under your skin – today, anyway! I'm entitled to ...

Daniel King, 2010

Zygmunt Zawirski: His Life and Work: With Selected Writings ...

But again, from this fact which is conceded by both, the formalist deduces at once that aleph-one is greater than aleph- zero, which conclusion sounds nonsensical to the intuitionist. Similarly, from the fact that to the satisfaction of both sides, ...

Irena Szumilewicz, Zygmunt Zawirski, 1994

Studies in Turkic and Mongolic Linguistics

scriptions, which varied according as the vowel was initial, medial or final, were as follows:— Initial Medial Final* aleph zero (aleph) aleph aleph aleph aleph ( aleph aleph, zero) alephjod alephjod (jod) alephjod zero, jod jod i: alephjod ...

Gerard Clauson, 2005

Pitchforks And Dynamite

It was Ào. Her face showed surprise as she lowered her hand. “It's a mathematical symbol,” she said without turning, “for infinity. To be precise, it's ' aleph zero'.” “In English?” Jules asked from behind her. “The natural integers 0,1, 2,3,4, and so ...

G.J. Torok, 2013

Our Ways: Values and Character

Besides our intrinsic transfinite value as unique human beings in the aleph one range, persons have properties belonging to their objective extrinsic existence in the aleph zero range. They also have private and public functions in which they ...

Armando Molina, Rem Blanchard Edwards, 1997

The Mathematics Dictionary

Adder Ajustemenl des courbes. Curve fitting Aleph-nul. Aleph-null (or aleph zero) Aleph zero. Aleph-null (or aleph zero) Algebrique. Algebraic Algebre. Algebra Algebrc homologique. Homological algebra Algorisme. Algorithm Algorithme.

R.C. James, 1992

4 NEWS ITEMS WHICH INCLUDE THE TERM «ALEPH-ZERO»

Find out what the national and international press are talking about and how the term aleph-zero is used in the context of the following news items.

The Multiverse

I asked Guth what is the cardinality of the multiverse created by inflation, and he answered: "Aleph-zero." This was a far better answer than the ... «Science 2.0, Nov 12»

Futuristic Neural Networks Get Closer

The size of the set of natural numbers is represented by the notation aleph-zero, א0, representing also the number of different infinite ... «WebProNews, Apr 12»

"Super-Turing" AI gets development funding

The size of the set of natural numbers is represented by the notation aleph-zero, ℵ0, representing also the number of different infinite ... «Science a Gogo, Apr 12»

A Brief Introduction To Infinity

But that's imprecise: it's cardinality is actually aleph-null, or aleph-zero, which is the smallest type of infinity. To understand why this infinity is ... «Gizmodo Australia, Jun 11»