Writing a mathematical text I came across a site that lists some common mistakes when writing scientific texts in English including the following:
x fulfills property P
x satisfies property P
I am now very confused since I read this (the “wrong” usage) quite a few times in various papers (and I can't remember a single one were the “correct” word is used). I also found this site stating
The difference between satisfy and fulfill is that satisfy is to […] fulfill (wishes, requirements) […]
fulfill: […] To satisfy, carry out, bring to completion (an obligation, a requirement, etc.).
which gives me headache explaining satisfy with fulfill and vice versa.
So what is the difference between satisfy and fulfill? In particular I want to know what to use when I want to express that a condition must be satisfied / fulfilled?
The specific examples where I want to use one of these words:
- The angles satisfy / fulfill the condition…
- The vectors satisfy / fulfill the inequalities…
- This condition has to be satisfied / fulfilled for every vertex.
I don't think these are very different, but just in case. Thanks.