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Joel Kolstad wrote:
1) It's the bandwidth of the signal that matters, not the highest frequency
present...
One might say "the highest frequency present" is the highest frequency
non-zero component of the power spectrum.

Sure, but the point is that you can sample a signal that's has all (of a good
approximation thereof, e.g., 99%) of its energy between 144-148MHz (this is
the 2m amateur radio band) at 10MSps and recover everything. I.e., the
bandwidth of the signal is only 4MHz, so you only have to sample at something
8MSps.