different between infinitude vs infinity

English

Etymology

From French

Noun

infinitude (countable and uncountable, plural infinitudes)

1. An infinite amount.

Synonyms

• See also Thesaurus:infinity

English

Etymology

From Old French infinité, from Latin infinitas (“unlimitedness”), from negative prefix in- (“not”), + finis (“end”), + noun of state suffix -tas.

Pronunciation

• IPA^(key): /?n?f?n?ti/
• Rhymes: -?n?ti

Noun

infinity (countable and uncountable, plural infinities)

1. (uncountable) Endlessness, unlimitedness, absence of a beginning, end or limits to size.
2. (countable, mathematics) A number that has an infinite numerical value that cannot be counted.
3. (countable, topology, mathematical analysis) An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.
4. (uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.
5. (countable, uncountable) The symbol ?.

Usage notes

In mathematics there are several different infinities; see transfinite.

Synonyms

• (absence of a beginning, end or limits to size): See also Thesaurus:infinity

Antonyms

• finity

Related terms

• finish
• finite
• infinite
• infinitesimal
• infinitieth

Translations

See also

• eternal
• eternity
• transfinite