Do mathematicians need funding?

My answer to a question on Quora: Do mathematicians need funding?

There was a number of answers in this thread regurgitating the old joke about mathematicians and philosophers – apparently the latter require even less funding. What really matters, however, is that mathematicians really need (very modest, admittedly) funding for meeting regularly other mathematicians – either at conferences, or, which is much more important, in direct visits to their universities, or in various programs like “Research in Pairs” run by the famous Mathematisches Forschungsinstitut Oberwolfach. There are serious psychological and neurophysiological reasons why doing serious mathematics in isolation from the community of fellow mathematicians is very difficult, next to impossible. I served, for a number of years, on a committee of a learned society which was awarding quick, easy to apply, small grants for international collaborative research in mathematics (basically, short visits, for about a week) . Quality of papers arising from this research is astonishingly high, on the value for money count it beats any state-funded bureaucratic schemes.