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Clearly neither this person nor the person they're arguing against understand the difference between +__getting to attend college+__ and +__actually getting the degree+__.
In a perfect world, everyone who would +__actually benefit from higher education+__ would get that opportunity. But I see two potential issues with universal free college:
1) Free college creates the expectation that everyone takes advantage of the opportunity, when in fact college is not for everyone. For me, college would have been four more years of high school. I can imagine this expectation pulling up the ladder for people who can't handle a college workload, but are otherwise good workers.
2) On paper, a more educated workforce is a better workforce. But that assumes that everyone is getting a useful degree. When you have infrastructure to build and maintain, and civil servants to keep paid, making sure Jeremy has a BA in English while he flips burgers suddenly doesn't seem like such a sound investment.