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infinitesimal

1 of 2

adjective

in·​fin·​i·​tes·​i·​mal (ˌ)in-ˌfi-nə-ˈte-sə-məl How to pronounce infinitesimal (audio)
-zə-məl
1
: immeasurably or incalculably small
an infinitesimal difference
2
: taking on values arbitrarily close to but greater than zero
infinitesimally adverb

infinitesimal

2 of 2

noun

: an infinitesimal quantity or variable

Did you know?

What is the origin of infinitesimal?

Infinite, as you probably know, means "endless" or "extending indefinitely." It is ultimately from Latin infīnītus, the opposite of fīnītus, meaning "finite." The notion of smallness in infinitesimal derives from the mathematical concept that a quantity can be divided endlessly; no matter how small, it can be subdivided into yet smaller fractions, or infinitesimals. The concept was still in its infancy in the early 1700s when Irish philosopher George Berkeley observed that some people "assert there are infinitesimals of infinitesimals of infinitesimals, etc., without ever coming to an end." He used the word in a mathematical sense, too, referring to "infinitesimal parts of finite lines." Later, the adjectival form acquired a general sense applicable to anything too small to be measured.

Example Sentences

Adjective an infinitesimal moment in time a soft drink with only an infinitesimal amount of caffeine
Recent Examples on the Web
Adjective
Purchasing that share gives you an infinitesimal stake in the company and entitles you to any dividend the company may pay out, but your ownership stake isn’t large enough to affect the company’s decision-making and operations. Chris Morran, ProPublica, 8 Aug. 2022 By last week, Kritsky had received only 85 reports of stragglers, an infinitesimal speck when compared with the billions of bugs that swarmed us last year, right on schedule. John Kelly, Washington Post, 22 May 2022 The whirlwind of empty images of arbitrarily infinitesimal durations taken from an arbitrary abundance of angles suggests the vague desire for anything but realism. Richard Brody, The New Yorker, 11 Apr. 2022 That can appear infinitesimal in a racetrack that held around 325,000 fans the day before. Claire Rafford, The Indianapolis Star, 30 May 2022 Then in the nineteenth century, the cell was discovered, and the single machine in its turn was found to be the product of millions of infinitesimal machines—the cells. Loren C. Eiseley, Harper’s Magazine , 27 Apr. 2022 In the original Big Bang, there’s a core, an infinitesimal singularity that brought the whole universe bursting into creation. Los Angeles Times, 5 Apr. 2022 But Apple has frequently targeted entities that have nothing to do with tech or that are infinitesimal in size. New York Times, 11 Mar. 2022 An attorney for the airmen argued during a 2019 hearing that the odds of transmitting HIV in combat are infinitesimal and should not limit their deployment or lead to their discharge. Fox News, 10 Apr. 2022
Noun
Since then, Parker has persistently sought meaning in the infinitesimal and evanescent. Jonathon Keats, Forbes, 20 May 2022 This led to his theory of surreal numbers — a huge new number system containing not only all the real numbers, but also a boggling collection of infinites and infinitesimals, like π minus 1 divided by the cube root of infinity. New York Times, 16 May 2020 Infinities implicitly pervade many familiar mathematical concepts, such as the idea of points as mentioned above, the idea of the continuum, and the concept of infinitesimals in calculus. Quanta Magazine, 16 June 2016 See More

Word History

Etymology

Adjective

borrowed from New Latin infīnītēsimālis, from infīnītēsimus "infinite in rank" (from Latin infīnītus "having no limit, infinite entry 1" + -ēsimus, suffix of higher ordinal numbers) + Latin -ālis -al entry 1 — more at vigesimal

Noun

New Latin infīnītēsimus "infinite in rank" + -al entry 2 — more at infinitesimal entry 1

First Known Use

Adjective

1710, in the meaning defined at sense 2

Noun

1706, in the meaning defined above

Time Traveler
The first known use of infinitesimal was in 1706

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