uncountability
Cannot be numbered
Uncountability is the quality of being impossible to count.
In everyday use, it describes quantities too vast or diffuse to enumerate: the uncountability of grains of sand on a beach.
In mathematics, uncountability has a precise meaning—a set is uncountable if its elements cannot be put in one-to-one correspondence with the natural numbers, as with the real numbers.
In grammar, uncountability refers to nouns that don't take plural forms or combine with numerals: water, information, furniture.
Without termination or boundary
- boundlessWithout any boundaries
- limitlessWithout any boundaries
- inexhaustibleCannot be used up
- immeasurableBeyond any quantification
measureless · unbounded · unlimited · interminable · unending · incessant · perpetual · eternal
Words expressing quantity
- determinersNoun-modifying function words
- syntaxRules for arranging words
- semanticsStudy of linguistic meaning
- morphologyStudy of structural forms
Uninterrupted, gradual sequence
- seamlessnessLack of visible transitions
- indivisibilityCannot be divided
- wholenessComplete, undivided state
- unityWholeness through cohesion
fluidity · gradation · spectrum · unbroken · flow · smoothness · undifferentiated · homogeneity
Size of a set
- CantorSet theory founder
- diagonalizationReducing to diagonal form
- ordinalNumber denoting position
- well-orderingOrdering with guaranteed minimums
Cannot be physically felt
- immaterialityAbsence of physical form
- formlessnessLacking definite shape
- amorphousnessLack of definite shape
- vaguenessAbsence of precision
indefinability · elusiveness · indistinctness · nebulosity · insubstantiality · ephemerality · ineffability · unquantifiable
endless
Without termination or boundary
- boundlessWithout any boundaries
- limitlessWithout any boundaries
- inexhaustibleCannot be used up
immeasurable · measureless · unbounded · unlimited · interminable · unending · incessant · perpetual · eternal · everlasting
quantifiers
Words expressing quantity
- determinersNoun-modifying function words
- syntaxRules for arranging words
- semanticsStudy of linguistic meaning
morphology · partitive · much · less · amount
continuum
Uninterrupted, gradual sequence
- seamlessnessLack of visible transitions
- indivisibilityCannot be divided
- wholenessComplete, undivided state
unity · fluidity · gradation · spectrum · unbroken · flow · smoothness · undifferentiated · homogeneity · mass
cardinality
Size of a set
- CantorSet theory founder
- diagonalizationReducing to diagonal form
- ordinalNumber denoting position
intangibility
Cannot be physically felt
- immaterialityAbsence of physical form
- formlessnessLacking definite shape
- amorphousnessLack of definite shape
vagueness · indefinability · elusiveness · indistinctness · nebulosity · insubstantiality · ephemerality · ineffability · unquantifiable
uncountabilitycountability
Ability to be enumerated
finiteness · finitude · boundedness · limitedness · discreteness
uncountable, countability, countable, count, counts, counted, counting, counter, counters