What does infinitude mean?
Definitions for infinitude
ɪnˈfɪn ɪˌtud, -ˌtyudin·fini·tude
This dictionary definitions page includes all the possible meanings, example usage and translations of the word infinitude.
Princeton's WordNet
infinitudenoun
an infinite quantity
infiniteness, infinitude, unboundedness, boundlessness, limitlessnessnoun
the quality of being infinite; without bound or limit
Wiktionary
infinitudenoun
An infinite amount.
Euclid proves the infinitude of primes.
Samuel Johnson's Dictionary
Infinitudenoun
Etymology: from infinite.
Confusion heard his voice, and wild uproar
Stood rul'd, stood vast infinitude confin'd. John Milton, Par. Lost.Though the repugnancy of infinitude be equally incompetible to continued or successive motion, or continued quantity, and depends upon the incompossibility of the very nature of things successive or extensive with infinitude; yet that incompossibility is more conspicuous in discrete quantity, that ariseth from parts actually distinguished. Matthew Hale.
We see all the good sense of the age cut out, and minced into almost an infinitude of distinctions. Joseph Addison, Spectator.
Wikipedia
infinitude
Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol ∞ {\displaystyle \infty } . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of all of its points, their infinite number (i.e., the cardinality of the line) is larger than the number of integers. In this usage, infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object. The mathematical concept of infinity refines and extends the old philosophical concept, in particular by introducing infinitely many different sizes of infinite sets. Among the axioms of Zermelo–Fraenkel set theory, on which most of modern mathematics can be developed, is the axiom of infinity, which guarantees the existence of infinite sets. The mathematical concept of infinity and the manipulation of infinite sets are used everywhere in mathematics, even in areas such as combinatorics that may seem to have nothing to do with them. For example, Wiles's proof of Fermat's Last Theorem implicitly relies on the existence of very large infinite sets for solving a long-standing problem that is stated in terms of elementary arithmetic. In physics and cosmology, whether the Universe is spatially infinite is an open question.
ChatGPT
infinitude
Infinitude refers to the state or quality of being infinite, unlimited, or endless. It can apply to concepts such as time, space, quantity, or any other quantity that has no limits or boundaries and can extend indefinitely.
Webster Dictionary
Infinitudenoun
the quality or state of being infinite, or without limits; infiniteness
Infinitudenoun
infinite extent; unlimited space; immensity; infinity
Infinitudenoun
boundless number; countless multitude
Matched Categories
Numerology
Chaldean Numerology
The numerical value of infinitude in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of infinitude in Pythagorean Numerology is: 3
Examples of infinitude in a Sentence
Listen within yourself and look into the infinitude of Space and Time. There can be heard the songs of the Constellations, the voices of the Numbers, and the harmonies of the Spheres.
Popularity rank by frequency of use
Translations for infinitude
From our Multilingual Translation Dictionary
- infinitudePortuguese
Get even more translations for infinitude »
Translation
Find a translation for the infinitude definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"infinitude." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/infinitude>.
Discuss these infinitude definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In