The difference between Infinite and Uncountable
When used as adjectives, infinite means indefinably large, countlessly great, whereas uncountable means so many as to be incapable of being counted.
Infinite is also numeral with the meaning: infinitely many.
Uncountable is also noun with the meaning: an uncountable noun.
check bellow for the other definitions of Infinite and Uncountable
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Infinite as an adjective:
Indefinably large, countlessly great; immense.
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Infinite as an adjective:
Boundless, endless, without end or limits; innumerable.
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Infinite as an adjective:
With plural noun: infinitely many.
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Infinite as an adjective (mathematics):
Greater than any positive quantity or magnitude; limitless.
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Infinite as an adjective (set theory, of a set):
Having infinitely many elements.
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Infinite as an adjective (grammar):
Not limited by person or number.
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Infinite as an adjective (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.
Examples:
"rfquotek Moore (Encyc. of Music)"
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Uncountable as an adjective:
So many as to be incapable of being counted.
Examples:
"The reasons for our failure were as uncountable as the grains of sand on a beach."
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Uncountable as an adjective (mathematics):
Incapable of being put into one-to-one correspondence with the natural numbers or any subset thereof.
Examples:
"Cantor’s “diagonal proof” shows that the set of real numbers is uncountable."
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Uncountable as an adjective (grammar, of a noun):
Describes a meaning of a noun that cannot be used freely with numbers or the indefinite article, and which therefore usually takes no plural form. Example: information.
Examples:
"Many languages do not distinguish countable nouns from uncountable nouns."
"One meaning in law of the supposedly uncountable noun "information" is used in the plural and is countable."
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Uncountable as a noun (linguistics):
An uncountable noun.