Uncountably meaning

Too many to be counted (either by reason of being infinite or for practical constraints).

The stars in the sky are uncountably many. Even a lifetime would not suffice to number them all.

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(grammar) In an uncountable fashion.

Some nouns can be used both countably and uncountably.

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(mathematics) In a way that is incapable of being put into one-to-one correspondence with the natural numbers or any subset thereof.
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Used as a general intensifier of amounts and quantities; very; much.
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Origin of uncountably