Arbitrary vs Infinite - What's the difference?
arbitrary | infinite |
(usually, of a decision) Based on individual discretion or judgment; not based on any objective distinction, perhaps even made at random.
Determined by impulse rather than reason; heavy-handed.
(mathematics) Any and all possible.
Determined by independent arbiter.
Anything arbitrary, such as an arithmetical value or a fee.
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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In mathematics terms the difference between arbitrary and infinite
is that arbitrary is any and all possible while infinite is greater than any positive quantity or magnitude; limitless.As adjectives the difference between arbitrary and infinite
is that arbitrary is based on individual discretion or judgment; not based on any objective distinction, perhaps even made at random while infinite is indefinably large, countlessly great; immense.As a noun arbitrary
is anything arbitrary, such as an arithmetical value or a fee.As a numeral infinite is
infinitely many.arbitrary
English
Adjective
(arbitrariness) (en adjective)- Benjamin Franklin's designation of "positive" and "negative" to different charges was arbitrary . In fact, electrons flow in the opposite direction to conventional current.
- The decision to use 18 years as the legal age of adulthood was arbitrary , as both age 17 and 19 were reasonable alternatives.
- "The Russian trials were Stalin's purges, with which he attempted to consolidate his power. Like most people in the West, I believed these show trials to be the arbitrary acts of a cruel dictator." (
Max Born, Letters to Einstein
)
- The equation is true for an arbitrary value of x.
- To secure food safety, there should first be a national standard to arbitrarily state what is wholesome and what is not; second, the final buyer should know exactly what he is purchasing. (
The World's Work ...: a history of our time
)
Noun
(arbitraries)External links
* *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.