Infinite vs Countable - What's the difference?
infinite | countable | Hypernyms |
Indefinably large, countlessly great; immense.
* , I.40:
* (and other bibliographic particulars) H. Brooke
* (and other bibliographic particulars) Marlowe
* (and other bibliographic particulars) Milton
Boundless, endless, without end or limits; innumerable.
* Bible, Psalms cxlvii. 5
With plural noun: infinitely many.
* 2012 , Helen Donelan, ?Karen Kear, ?Magnus Ramage, Online Communication and Collaboration: A Reader
(mathematics) Greater than any positive quantity or magnitude; limitless.
(set theory, of a set) Having infinitely many elements.
* {{quote-web
, year = 2009
, author = Brandon C. Look
, title = Symbolic Logic II, Lecture 2: Set Theory
, site = www.uky.edu/~look
, url = http://www.uky.edu/~look/Phi520-Lecture7.pdf
, accessdate = 2012-11-20 }}
(grammar) Not limited by person or number.
(music) Capable of endless repetition; said of certain forms of the canon, also called perpetual fugues, constructed so that their ends lead to their beginnings.
Infinitely many.
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Capable of being counted; having a quantity.
(mathematics, of a set) Countably infinite; having a bijection with the natural numbers.
(mathematics, of a set) Countably infinite or finite; having a bijection with a subset of the natural numbers.
(grammar, of a noun) Freely usable with the indefinite article and with numbers, and therefore having a plural form.
Infinite is a hypernym of countable.
As adjectives the difference between infinite and countable
is that infinite is indefinably large, countlessly great; immense while countable is capable of being counted; having a quantity or a numerical attribute.As a numeral infinite
is infinitely many.infinite
English
Adjective
(en adjective)- The number is so infinite , that verily it would be an easier matter for me to reckon up those that have feared the same.
- Whatever is finite, as finite, will admit of no comparative relation with infinity; for whatever is less than infinite is still infinitely distant from infinity; and lower than infinite distance the lowest or least cannot sink.
- infinite riches in a little room
- which infinite calamity shall cause to human life
- Great is our Lord, and of great power; his understanding is infinite .
- Huxley's theory says that if you provide infinite monkeys with infinite typewriters, some monkey somewhere will eventually create a masterpiece – a play by Shakespeare, a Platonic dialogue, or an economic treatise by Adam Smith.
- For any infinite set, there is a 1-1 correspondence between it and at least one of its proper subsets. For example, there is a 1-1 correspondence between the set of natural numbers and the set of squares of natural numbers, which is a proper subset of the set of natural numbers.
