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 at 9:07
  • 1
    To be thorough,... – JJJ May 18 at 9:17
  • For the sake of thoroughness/comprehensiveness – user252684 May 22 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.

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