different between transfinite vs boundless

English

Etymology

From German transfinit, coined by Georg Cantor

Pronunciation

• IPA^(key): /t?æns?fa?na?t/

Adjective

transfinite (not comparable)

1. Beyond finite.
2. (mathematics) Relating to transfinite numbers.

Derived terms

• transfinitely

Related terms

• finite
• infinite
• transfinity

Translations

Noun

transfinite (plural transfinites)

1. A transfinite number.

References

German

Pronunciation

Adjective

transfinite

1. inflection of transfinit:
   1. strong/mixed nominative/accusative feminine singular
   2. strong nominative/accusative plural
   3. weak nominative all-gender singular
   4. weak accusative feminine/neuter singular

Italian

Adjective

transfinite

1. feminine plural of transfinito

English

Etymology

bound +? -less

Adjective

boundless (comparative more boundless, superlative most boundless)

1. Without bounds, unbounded.
   • 1785, William Cowper, “The Garden”, in The Task, a Poem, in Six Books. By William Cowper [...] To which are Added, by the Same Author, An Epistle to Joseph Hill, Esq. Tirocinium, or a Review of Schools, and The History of John Gilpin, London: Printed for J[oseph] Johnson, No. 72 St. Paul's Church-Yard, OCLC 221351486; republished as The Task. A Poem. In Six Books. To which is Added, Tirocinium: or, A Review of Schools, new edition, Philadelphia, Pa.: Printed for Thomas Dobson, bookseller, in Second-street, second door above Chestnut-street, 1787, OCLC 23630717, page 87:

     'Tis the cruel gripe, / That lean hard-handed poverty inflicts, / The hope of better things, the chance to win, / The wi?h to ?hine, the thir?t to be amus'd, / That at the found of Winter's hoary wing, / Unpeople all our counties, of ?uch herds, / Of flutt'ring, loit'ring, cringing, begging, loo?e, / And wanton vagrants, as make London, va?t / And boundless as it is, a crowded coop.

Synonyms

• bottomless, limitless, unbottomed, unbounded; see also Thesaurus:infinite

Translations