In my mathematics paper, I wrote:

For 3<k<15, ... .

I later discovered that k needs to be emphasised as an integer. So I wrote this:

For every integer 3<k<15, ... .

I'm not sure if above sentence is normal. I frequently encounter the following sentence.

For every integer k>3, ... .

Note that k is close to the word “integer”.

So I would like to ask if the above write up is correct. I've also tried writing like this, but I'm also not sure if it's the norm.

 For every integer k with 3<k<15, ... .
  • Is n an integer, a real, or what? Should we consider every possible n that is greater than sin(k), or do you just assert that there exists some n that is greater than sin(k), or what?
    – The Photon
    Jul 21, 2022 at 2:27
  • 2
    This quetion would probably get better answers on one of the math stackexchange sites, where they could also share how to express this in mathematical notation.
    – The Photon
    Jul 21, 2022 at 2:28
  • @ThePhoton Thanks. We don't care whether n is real (integer) or not.
    – licheng
    Jul 21, 2022 at 2:29
  • 1
    That's not English, it's Mathlish.
    – Hot Licks
    Jul 21, 2022 at 2:49
  • 1
    Another alternative would be "for k = 4, ..., 14", every mathematician would understand from this that k is an integer.
    – J.J. Green
    Jun 16, 2023 at 9:50

1 Answer 1


As one is reading it would help to specify k as the element of interest. Finding it hidden in 3<k<15 will make the average reader chortle with "Of course 3 is less than 15".

With that in mind I would use, "For every integer k where 3<k<15 we have the following claim;"

A good mathematician will not get lost but we generally write for the average reader.

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.