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Meaning of "aleph-null" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF ALEPH-NULL

aleph-null play
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GRAMMATICAL CATEGORY OF ALEPH-NULL

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Aleph-Null 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-NULL 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.

Definition of aleph-null in the English dictionary

The definition of aleph-null in the dictionary is the smallest infinite cardinal number; the cardinal number of the set of positive integers א0.

WORDS THAT BEGIN LIKE ALEPH-NULL

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

WORDS THAT END LIKE ALEPH-NULL

bull
chock-full
cull
dull
full
gull
half-full
hull
in full
lull
mull
null
pull
push-pull
seagull
skull
Solihull
the Bull
to the full
Tull

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

SYNONYMS

Translation of «aleph-null» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF ALEPH-NULL

Find out the translation of aleph-null to 25 languages with our English multilingual translator.
The translations of aleph-null 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-null» in English.

Translator English - Chinese

ALEPH空
1,325 millions of speakers

Translator English - Spanish

aleph - nulo
570 millions of speakers

English

aleph-null
510 millions of speakers

Translator English - Hindi

Aleph - बातिल
380 millions of speakers
ar

Translator English - Arabic

أليف - اغية
280 millions of speakers

Translator English - Russian

алеф- нуль
278 millions of speakers

Translator English - Portuguese

aleph - nulo
270 millions of speakers

Translator English - Bengali

aleph-নাল
260 millions of speakers

Translator English - French

aleph - null
220 millions of speakers

Translator English - Malay

Aleph-null
190 millions of speakers

Translator English - German

Aleph -Null
180 millions of speakers

Translator English - Japanese

アレフヌル
130 millions of speakers

Translator English - Korean

알레프 널 (null)
85 millions of speakers

Translator English - Javanese

Aleph-null
85 millions of speakers
vi

Translator English - Vietnamese

aleph -null
80 millions of speakers

Translator English - Tamil

அல்ப் பூஜ்ஜியமல்லாத
75 millions of speakers

Translator English - Marathi

एलेफ-नल
75 millions of speakers

Translator English - Turkish

Aleph boş
70 millions of speakers

Translator English - Italian

aleph -null
65 millions of speakers

Translator English - Polish

Aleph null
50 millions of speakers

Translator English - Ukrainian

алеф - нуль
40 millions of speakers

Translator English - Romanian

Aleph - nul
30 millions of speakers
el

Translator English - Greek

aleph - null
15 millions of speakers
af

Translator English - Afrikaans

Aleph - nul
14 millions of speakers
sv

Translator English - Swedish

aleph - null
10 millions of speakers
no

Translator English - Norwegian

Aleph - null
5 millions of speakers

Trends of use of aleph-null

TRENDS

TENDENCIES OF USE OF THE TERM «ALEPH-NULL»

The term «aleph-null» is used very little and occupies the 159.236 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Rarely used
26
/100
The map shown above gives the frequency of use of the term «aleph-null» in the different countries.
Principal search tendencies and common uses of aleph-null
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «aleph-null».

FREQUENCY OF USE OF THE TERM «ALEPH-NULL» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «aleph-null» during the past 500 years. Its implementation is based on analysing how often the term «aleph-null» appears in digitalised printed sources in English between the year 1500 and the present day.

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «ALEPH-NULL»

Discover the use of aleph-null in the following bibliographical selection. Books relating to aleph-null and brief extracts from same to provide context of its use in English literature.
1
Black Easter, Or, Faust Aleph-Null
Set in a world where magic and science co-exist. Baines, a US arms manufacturer, hires black magician Theron Ware, to help him unleash ultimate evil throughout the world.
James Blish, 1999
2
The Magic of the Goddesses
Now, aleph null plus one is aleph null and continuing in this way aleph null times you have to conclude that aleph null plus aleph null equals aleph null.” “Oh! Sure ! I guess you're right, my math teacher said something like that except that he ...
William Wolfgang, 2009
3
Philosophy of Mathematics: Selected Readings
... and second, that for every such set it is possible to assign a denumerably infinite ordinal number, not belonging to this set, the formalist concludes: "aleph- one is greater than aleph-null," a proposition that has no meaning for the intuitionist.
Paul Benacerraf, Hilary Putnam, 1983
4
Mathematical Excursion, Enhanced Edition
Her song is titled Hotel Aleph Null—yeah. Here are the lyrics for the chorus of her song, which is to be sung to the tune of Hotel California by the Eagles. (Source: http://www.marypat.org/mathcamp/doc2001/ hellrelays.html#hotel)4 Hotel Aleph  ...
Richard Aufmann, Joanne Lockwood, Richard Nation, 2009
5
Axioms for [aleph-null]-categorical Orderings
Abstract: "Every N0-categorical linear ordering is finitely axiomatizable. This follows trivially from the characterization of N0- categorical orderings in [Ros69]. But this proof does not show what the axioms are.
H. A. N. van (Jeroen) Maanen, Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands). Department of Computer Science, Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands). Department of Algorithmics & Architecture, 1994
6
Universals of Human Language: Method & theory
This question is considered in detail in my paper 'Numeral Systems' in Vol. III of the present publication. -a Aleph-null is the cardinal number of the set of natural numbers the model of a countable infinity. Aleph-null to the aleph-null powe is an  ...
Joseph Harold Greenberg, Charles Albert Ferguson, Edith A. Moravcsik, 1978
7
Anglo-American Idealism: Thinkers and Ideas
Georg Cantor, as we all know, argued that one might begin with the smallest infinite number, aleph-null, and go on indefinitely. The properties of infinite numbers are puzzling to some people but perhaps revealing to philosophers. A series is ...
James Connelly, Stamatoula Panagakou, 2010
8
Absolutes and Infinity in Our Physical Universe: Believers ...
There are other types of infinitude aside from the infinitude of going on forever ( aleph null), like aleph one, aleph two, etc., in a hierarchy of alephs, which humans have been able to uncover with the help of transfinite mathematics that may also ...
Carlton Andrews Lane, 2012
9
Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever
To denote this level of cardinality, he used the first letter in the Hebrew alphabet, the aleph, along with the subscript zero, and termed it aleph-null (NO). In other words, the set N of natural numbers can be put into a one-to-one correspondence  ...
Hal Hellman, 2010
10
Programming PHP
The NULL value represents a variable that has no value (similar to Perl's undef or Python's None): $aleph = "beta"; $aleph = null; // variable's value is gone $aleph = Null; // same $aleph = NULL; // same Use the is_null() function to test whether ...
Kevin Tatroe, Peter MacIntyre, Rasmus Lerdorf, 2013

8 NEWS ITEMS WHICH INCLUDE THE TERM «ALEPH-NULL»

Find out what the national and international press are talking about and how the term aleph-null is used in the context of the following news items.
1
A brief exploration of Infinity
For example, the set of natural numbers is a trans-finite cardinal number called aleph-null. Similarly, the cardinal number of the set of real ... «Daily News & Analysis, Nov 13»
2
Why Does the World Exist? A Review
What that means is that an aleph-null infinity couldn't even begin to cover all the bases, much less the home run that accounts for our own ... «Huffington Post, Aug 13»
3
Does infinity really exist?
But because a single number cannot describe the size of an infinite set, Cantor used the term aleph-0, or aleph-null (aleph being the first letter ... «io9, Jul 13»
4
More highbrow jokes: We didn't realise what we were starting
And it doesn't. What is the longest song in the world? Aleph-null bottles of beer on the wall. Two cats are sitting on a roof. Which one slips off? «The Independent, Jul 13»
5
The Definitive Quick Reference Guide to All Types of Numbers
According to Jeff Suzuki's “Mathematicians and Other Oddities of Nature“, the cardinality of Natural numbers is called “aleph-null”. (“Aleph” is ... «Decoded Science, Oct 11»
6
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»
7
Monday Puzzle: Mystical Mathematics
Both sets have a count or cardinality equal to the transfinite number א 0 – aleph-null. CG: You mean Georg Cantor discovered them, not ... «New York Times, Dec 09»
8
Alternative Axioms: NBG Set Theory
... class of all of those sets, the sets described by aleph-null axioms. ... large cardinal (which would just be aleph-null axioms again), so that ... «ScienceBlogs, Jun 07»

REFERENCE
« EDUCALINGO. Aleph-Null [online]. Available <https://educalingo.com/en/dic-en/aleph-null>. Feb 2024 ».
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