The most fruitful areas for the growth of the sciences were those which had been neglected as a no-man's land between the various established fields. - Norbert Wiener

We mathematicians who operate with nothing more expensive than paper and possibly printers' ink are quite reconciled to the fact that, if we are working in an active field, our discoveries will commence to be obsolete at the moment that they are written down or even at the moment they are conceived. We know that for a long time everything we do will be nothing more than the jumping off point for those who have the advantage of already being aware of our ultimate results. This is the meaning of the famous apothegm of Newton, when he said, "If I have seen further than other men, it is because I have stood on the shoulders of giants".

What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.

There are no answers, only cross-references.