infinitary

1 9.9

Describing a process, number, or set that goes on forever, often in math

adjective
/ˌɪn.fɪˈnɪt.ər.i/

Specialized

: infinitario

Initially, her research focused on model theory, working on models of arithmetic and infinitary logic.

Examples

Infinitary processes often lead to conclusions that are not possible with finite methods.
Her dissertation explored the implications of infinitary sets in mathematical proofs.
The mathematician presented a groundbreaking theorem in infinitary logic during the conference.

Synonyms

infinite

vsinfinitary

184 4.2

Without limits or end

is used mainly for mathematical processes or logic rather than general size

unlimited

vsinfinitary

167 1.5

Having no end and no rules to stop it

is used for mathematical processes with no limit, not general freedom

endless

vsinfinitary

111 2.5

Very large in number that seems to have no limit

focuses on mathematical processes with no limit or sets, not on duration or count

limitless

vsinfinitary

39 4.0

Very large and without any end

relates to mathematical processes with no limit or sets rather than general size

boundless

vsinfinitary

26 5.0

Having no limit in size or amount

is specifically about mathematical processes with no limit or sets, not just vastness

unbounded

vsinfinitary

5 6.3

Not limited in amount or size

focuses on mathematical processes with no limit or sets, not plain lack of bounds

measureless

vsinfinitary

Literature

1 7.5

Very large in size or number with no clear limit

concerns mathematical processes with no limit or sets, not merely being unmeasurable

transfinite

vsinfinitary

Specialized

1 9.9

About numbers or sets in math larger than any finite number

also applies to processes with no limit and sets, not only sizes

Surface Forms

infinitary positive

Morphology

infinitary = infinite (transparent) = infinite + ary

Formed by adding the relational suffix '-ary' to the adjective 'infinite', yielding 'relating to or involving the infinite', which is directly derivable.

Etymology

Infinitary comes from in- ('not') and finite ('end'), the same root you see in finish. So infinitary describes processes or sets with 'no end', which is why it is used in math and logic for things that go beyond a fixed number of steps.