Take a look at these two questions:
- How to prove $a^n < n!$ for all $n$ sufficiently large, and $n! \leq n^n$ for all $n$, by induction?
- How to prove $n < n!$ if $n > 2$ by induction?
Both of them are about the same topic (mathematical induction on inequalities). They both ask for a solution to a certain induction problem. The only difference between both of them is the content of the induction problem itself.
Now look at the question titles: "Proof of inequalities by induction" and "Mathematical induction in inequalities". They're essentially the same thing.
It may sound silly, but given that two questions can't have the same title (see bottom of this post), every time someone needs to solve an induction problem, they will be forced to try to think up a title name that is none of those two listed above. Eventually, the more people make such questions, the more strangely similar (but differently written) titles will appear.
Let us assume that we have a hundred of such questions. It sounds a bit unorganized. A hundred questions with titles that differ slightly - perhaps, even by just one single word.
Is there not a way to make a better title differentiation?
I am asking this because I'm pretty sure I will have to ask yet another of those questions since I'm having trouble understanding a certain induction problem.
EDIT Yep, can't have multiple questions with the same title: