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English word infinite comes from Latin finitus (finite, finished), which itself derives from Latin finus (end), combined with the prefix -in (un, not, non-)
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fine (Latin)
ablative singular of fīnis, which means an end, limit, boundary
-itus (Latin)
finitus (Latin)
in (Latin)
prefix, meaning un-, non-, not
infinitus (Latin)
Boundless, unlimited, endless. Infinite.
infinite (English)
Infinitely many. (grammar) Not limited by person or number. [from 19th c.]. (mathematics) Greater than any positive quantity or magnitude; limitless. [from 17th c.]. (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.. (set theory, of a set) Having infinitely many elements.. [...]