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aleph-zero

Meaning of "aleph-zero" in the English dictionary

DICTIONARY

PRONUNCIATION OF ALEPH-ZERO

ˌɑːlɪfˈzɪərəʊ


GRAMMATICAL CATEGORY OF ALEPH-ZERO

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
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.

WORDS THAT RHYME WITH ALEPH-ZERO

aero · antihero · bureau · caballero · cero · dinero · duro · euro · faro · hero · Nero · non-hero · nonzero · Pierrot · Pinero · primero · rezero · subzero · superhero · zero

WORDS THAT BEGIN LIKE ALEPH-ZERO

alembic · alembicated · alembication · alembroth · alength · Alep · aleph · aleph-beis · aleph-bet · aleph-null · alepine · Aleppo · Aleppo gall · alerce · alerion · alert · alertly · alertness · Alessandria · alethic

WORDS THAT END LIKE ALEPH-ZERO

absolute zero · bolero · brasero · Chudskoye Ozero · cicero · Duero · ground zero · Guerrero · hetero · kero · Ladozhskoye Ozero · libero · montero · Santiago del Estero · size zero · sombrero · status zero · torero · vaquero · year zero

Synonyms and antonyms of aleph-zero in the English dictionary of synonyms

SYNONYMS

Translation of «aleph-zero» into 25 languages

TRANSLATOR

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.
zh

Translator English - Chinese

ALEPH零
1,325 millions of speakers
es

Translator English - Spanish

aleph - cero
570 millions of speakers
en

English

aleph-zero
510 millions of speakers
hi

Translator English - Hindi

Aleph शून्य
380 millions of speakers
ar

Translator English - Arabic

أليف الصفر
280 millions of speakers
ru

Translator English - Russian

алеф- нуль
278 millions of speakers
pt

Translator English - Portuguese

aleph zero
270 millions of speakers
bn

Translator English - Bengali

aleph-জিরো
260 millions of speakers
fr

Translator English - French

aleph - zéro
220 millions of speakers
ms

Translator English - Malay

Alfa-sifar
190 millions of speakers
de

Translator English - German

Aleph - Null
180 millions of speakers
ja

Translator English - Japanese

アレフ·ゼロ
130 millions of speakers
ko

Translator English - Korean

알레프 제로
85 millions of speakers
jv

Translator English - Javanese

Aleph-zero
85 millions of speakers
vi

Translator English - Vietnamese

aleph - zero
80 millions of speakers
ta

Translator English - Tamil

அல்ப் பூஜ்ஜியம்
75 millions of speakers
mr

Translator English - Marathi

एलेफ-शून्य
75 millions of speakers
tr

Translator English - Turkish

aleph sıfır
70 millions of speakers
it

Translator English - Italian

aleph zero
65 millions of speakers
pl

Translator English - Polish

alef zero
50 millions of speakers
uk

Translator English - Ukrainian

алеф - нуль
40 millions of speakers
ro

Translator English - Romanian

Aleph - zero,
30 millions of speakers
el

Translator English - Greek

aleph - μηδέν
15 millions of speakers
af

Translator English - Afrikaans

aleph -zero
14 millions of speakers
sv

Translator English - Swedish

aleph - noll
10 millions of speakers
no

Translator English - Norwegian

Aleph - null
5 millions of speakers

Trends of use of aleph-zero

TRENDS

TENDENCIES OF USE OF THE TERM «ALEPH-ZERO»

Principal search tendencies and common uses of aleph-zero
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «aleph-zero».

Examples of use in the English literature, quotes and news about aleph-zero

EXAMPLES

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.
1
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
2
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
3
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
4
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
5
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
6
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
7
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
8
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
9
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
10
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.
1
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»
2
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»
3
"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»
4
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»
REFERENCE
« EDUCALINGO. Aleph-Zero [online]. Available <https://educalingo.com/en/dic-en/aleph-zero>. May 2024 ».
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