Technically, yeah, I made a generalization: cheaper schooling means shittier quality education (not bad, just worse). Of course, I haven't stepped into every community college classroom. But this is the psychology of the people looking at your application.
Technically technically, what actually matters is all the things that go along with going to a cheaper school, not really the fact that it's cheap.
2. "The rigor was pretty good" - does that mean you kept taking math classes (real analysis, etc)? If not, then how can you make that claim?
also, if you start your degree at a CC and transfer to a 4 year to finish, what does it says on your diploma? exactly what it would say if you went there for four years. I wouldn't recommend keeping secrets about your life, but if no one asks...
I did keep taking math classes! I have a math minor.
Sure, the first two years at Harvard can be something special, especially if the student uses AP or tests out of the standard first two years of ugrad school. E.g., Harvard's Math 55 taught to freshmen at least at one time used Halmos, FDVS, Rudin's 'Principles', and Spivak's 'Manifolds'. That's usually junior or senior level stuff.
I know one guy who went to Harvard and as a sophomore took a reading course from A. Gleason. So, if in the next two years he knocked off one of Hilbert's problems, like Gleason did, then he could also become a Harvard 'Fellow' and skip a Ph.D.! But, again, we're talking engineering, not being so advanced as a ugrad that really should end up with a Ph.D. in math instead of a Bachelor's.
What's so wrong about just taking the first two years of college as just the usual first two years? A CC can provide that. A CC can use a good calculus book; when I took calculus, I used the same book Harvard used; that is, Harvard was willing to teach a calculus course, just calculus from just a common book, to I don't know who took it. Given the book and anything like a competent CC teacher, the Harvard course doesn't have much room to be better than a CC course, especially if the student followed my recommendations on self study before the course.
I know; I know; maybe the freshman English lit course at Harvard is taught by a Nobel prize winner in literature and can provide some astoundingly profound insights into Henry James and, thus, change the lives of the students. I'm not impressed.
You seem eager to "pay a lot" for the first two years of college.
That a guy started at a community college and ended up with excellent GRE scores is an impressive 'trajectory', and mostly good graduate schools will be sufficiently impressed. The graduate schools are hungry for highly motivated, good students and will want to grab what I described.
I wish I could delete the rest of this branch.
Anecdotally, in my own case, I hit employment parity with my Ivy League/Top-10 school peers at 6 years, and have long since surpassed most of them in the job market and standard of living (due to an unbelievably smaller debt load).
The only people I know from my starting peer group who I could comfortably say have a higher standard of living than I do also went to regular 'ol state schools but just worked harder/smarter than I did.
I get fairly regular recruitment pitches from the Google's, Amazon's and Facebook's, and have worked for some of the biggest and best companies in their industries. (I've noticed an uptick in Google courtships over the last couple years as they finally brought their data crunching prowress to analyze hiring success and found that their traditional hiring pools did not necessarily provide the best employees)
All that being said, if I were so inclined, there are positions (high end consulting, finance, high-level politics) that I'm less likely to ever end up in due to fierce protectionism by "old guard". But I'm finding those hard kernels of school fashionistas are rapidly disappearing now as well.
On the other hand, if you don't have the money there are not a lot of opportunities left. And I for my part prefer some who showed that kind of ambition over everyone else who hand it "the easy way" (not meaning an MIT degree is easy at all, just saying there are roads with more rocks than others).