I'd like to include in a paper on mathematics the phrase:

"for the sake of completeness, we first show..."

or words to that effect. However, the word "completeness" has a precise technical interpretation in mathematics and so I'd prefer not to use it. Any suggestions for alternatives?

  • 1
    'To make the treatment comprehensive, ...' – Edwin Ashworth May 18 '18 at 9:07
  • 1
    To be thorough,... – JJJ May 18 '18 at 9:17
  • For the sake of thoroughness/comprehensiveness – user252684 May 22 '18 at 1:13

Something along the line "To cover every aspect, we show..." would help you out. If you want to avoid the word "cover", as it has a mathematical meaning, use "To deal with every aspect, we show..." instead which is less elegant, but causes no complications with mathematical terms.


In a paper on mathematics, you might say

"For the sake of rigor, we first show..."

The concept of mathematical rigor is discussed here.

  • Hi Robert, the system has flagged your answer for closure as "low-quality because of its length and content." Note that an answer on this site is expected to be authoritative, detailed, and explain why it is correct. You can edit your answer to avoid closure - for example, adding a dictionary definition for "rigor", linked to the source. For further guidance, see How to Answer. :-) – Chappo Oct 16 '18 at 3:15

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