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Are both of the following sentences equally correct?

  1. "Therefore we find x < y, assuming x decreases."

  2. "Therefore we find x < y, assuming x to decrease."

I couldn't find any informations on whether the second form is correct too. It feels wrong to me but I can't justify why.

Thanks!

  • The first is more natural. The second is not ungrammatical; it just seems slightly awkward. – David Handelman Oct 13 '16 at 13:20
  • Both versions could be used, in their own appropriate circumstances. – GEdgar Oct 13 '16 at 13:39
  • There are apparently tens of thousands of written instances of assuming it to, within which many/most are followed by a verb (which context matches OP's 2nd example). I see nothing wrong with the usage. – FumbleFingers Oct 13 '16 at 13:56
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the root of the word, assume, doesn't have a continuous principle, actually assuming is a conjunction, can follow by a clause or noun, so the former choice is correct, the latter seems like "Ving + to do".

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