countably

9.0

In a way that can be counted or listed, like numbers

adverb
/ˈkaʊntəblɪ/

Specialized

: contablemente

In mathematics, a set is considered countably infinite if its elements can be paired with the natural numbers.

So implicitly in a lot of my research, which I have to add an additional assumption that there exists, maybe countably many inaccessible Cardinals.

Examples

Separable, meaning the pre Hilbert space has a countably dense subset.
So there are countably many definitions of sets of natural numbers in English.
But there may be more than countably many sets of things.
So implicitly in a lot of my research, which I have to add an additional assumption that there exists, maybe countably many inaccessible Cardinals.

WIRED
You can always find an orthonormal countably infinite orthonormal subset of H.
There are countably many integers between any two rational numbers.
The researcher demonstrated that every sequence of real numbers is countably infinite in length.

Surface Forms

countably positive

Morphology

countably = countable (transparent) = count + able + ly

Clear and regular adverbial formation from the adjective 'countable' by adding the productive suffix '-ly'.

Etymology

Countably comes from the common word count meaning 'to number or list' and the part -able meaning 'can be', so it means 'in a way that can be counted'. In math, this idea usually means you can put the items into a list, even if the list goes on forever.