What problems might result from a direct democracy?

The more people you have in a direct democracy, the harder it becomes to get them all in the same room at the same time to find out how they all vote. For large groups, you then get into polling and mail-in ballots, which is very time-consuming and hard to organize, as well as creating opportunities for fraud. And it is harder to involve everybody and keep them informed. You can broadcast a debate on television, but there is no guarantee that everybody who will be voting is watching your debate. It is also true that large groups of people seem inevitably to include large numbers of fools, who are going to vote in an unwise manner. While this is also a problem of representative democracy, it seems to be an even greater problem with direct democracy. The majority may rule, but there is no guarantee that they will do so with any wisdom.