Pure virtual functions may not have an inline definition. Why?

In the SO thread "Why is a pure virtual function initialized by 0?" Jerry Coffin provided this quote from Bjarne Stroustrup’s The Design & Evolution of C++, section §13.2.3, where I've added some emphasis of the part I think is relevant:

The curious =0 syntax was chosen over the obvious alternative of introducing a new keyword pure or abstract because at the time I saw no chance of getting a new keyword accepted. Had I suggested pure, Release 2.0 would have shipped without abstract classes. Given a choice between a nicer syntax and abstract classes, I chose abstract classes. Rather than risking delay and incurring the certain fights over pure, I used the tradition C and C++ convention of using 0 to represent "not there." The =0 syntax fits with my view that a function body is the initializer for a function and also with the (simplistic, but usually adequate) view of the set of virtual functions being implemented as a vector of function pointers. [ … ]

So, when choosing the syntax Bjarne was thinking of a function body as a kind of initializer part of the declarator, and =0 as an alternate form of initializer, one that indicated “no body” (or in his words, “not there”).

It stands to reason that one cannot both indicate “not there” and have a body – in that conceptual picture.

Or, still in that conceptual picture, having two initializers.

Now, that's as far as my telepathic powers, google-foo and soft-reasoning goes. I surmise that nobody's been Interested Enough™ to formulate a proposal to the committee about having this purely syntactical restriction lifted, and following up with all the work that that entails. Thus it's still that way.

You shouldn't have so much faith in the standardization committee. Not everything has a deep reason to explain it. Something are so just because at first nobody thought otherwise and after nobody thought that changing it is important enough (I think it is the case here); for things old enough it could even be an artifact of the first implementation. Some are the result of evolution -- there was a deep reason at a time, but the reason was removed and the initial decision wasn't reconsidered again (it could be also the case here, where the initial decision was because any definition of the pure function was forbidden). Some are the result of negotiation between different POV and the result lacks coherence but this lack was deemed necessary to reach to consensus.