different between singularly vs intensely

English

From singular +? -ly.

singularly (comparative more singularly, superlative most singularly)

Strangely; oddly.
He behaved most singularly when we met him last night.
Extremely; remarkably.
- 1895, H. G. Wells, The Time Machine Chapter X
  I fancied at first the stuff was paraffin wax, and smashed the jar accordingly. But the odor of camphor was unmistakable. It struck me as singularly odd, that among the universal decay, this volatile substance had chanced to survive, perhaps through many thousand years.
In the singular number; in terms of a single thing.

intense +? -ly

intensely (comparative more intensely, superlative most intensely)

In an intense manner.
He pursued his studies intensely.
To an intense degree, extremely.
An intensely private man, he kept chit-chat to a minimum.

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