Definiton: An institution for higher learning with teaching and research facilities typically including a graduate school
No, university should not be free as there wouldn't be enough money to support buying technology and things for the school. University also needs hard workers; so people who had been working will have enough money to at least put a student loan down. Poverty in college students would increase as they wouldn't have to work to attend the university, and there would be no point in applying as anyone could go to the colleges with the right grades.
Yes, I think free college would boost are country as a whole and increase the outcome of new scientific ideas and technology. There is a down side to free university but I believe the pros out weigh the cons. First of all free college education would cause a frenzy of people from other countries to immigrate to the U.S. Which helps are economy as well as science innovation. Second one is that more jobs will rise for the demand of high skilled workers. Final we become a country that becomes a more powerful country in a global perspective.
With the TSA and NSA I doubt there would be much terrorist attacks. Especially if we draw in all the intelligent people in the terrorist countries so they would lose the ability to create efficient terrorist attacks. If the government expands their budget to construct colleges or build onto them and to make this possible we would need to cut down the budget on welfare.
Raise in taxes wouldn't be a problem at least students going to college will not be deep in debt as many are now. Yes intelligent people are incredibly good at planning terrorist attacks and I believed I answered that in round 2.