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DICTIONARY

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

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

alembic

alembicated

alembication

alembroth

alength

Alep

aleph

aleph-beis

aleph-bet

aleph-zero

alepine

Aleppo

Aleppo gall

alerce

alerion

alert

alertly

alertness

Alessandria

alethic

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

TRANSLATOR

ar

280 millions of speakers

vi

80 millions of speakers

el

15 millions of speakers

af

14 millions of speakers

sv

10 millions of speakers

no

5 millions of speakers

TRENDS

0

100%

FREQUENCY

Rarely used

26

/100 EXAMPLES

1

Black Easter, Or, Faust 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 [ 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**

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»

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»

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»

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»

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»

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»

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»

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 ».