What would happen if coffee were brewed without a filter?

The coffee powder will swim in the water. You can hardly drink that kind of coffee, if you use the regular grounded coffe for the coffee machine. Try it with coffe powder for Turkish coffee ( it´s much finer grounded )... this coffee powder will go to the bottom of your cup and you can drink it easily... for a good joke: turn the rest of the coffee powder in the cup around, put the cup upside down onto a plate and start your job as a fortune teller :-)))