Yes, and February 1st was the last day of January.
That might have made some sense if months had a 0th day.
They don't, but his point still remains. The fact that we officially ignore natural numerical separations in favor of some arbitrary declaration of "no year 0" will never make any sense to me. As Solatar pointed out, the phrase "the 70s" naturally implies "years with a 7 in the tens position," not "years with a 7 in the tens position, except for 1970, because it's too old, but also including 1980, for some ill-defined reason." The entire human calendar system is just an arbitrary grouping of regular planetary movements. Ten consecutive years will always be a decade, no matter where you start counting...so why not start where the count looks nicer?
Seriously, let's be done with this nonsense and just declare that there
was a Year 0. Or if you can't swallow that, just declare that the first century A.D. consisted of only 99 years, or included 1 B.C. as well. That way, the centuries and millennia end when they naturally should, when the year count "rolls over" to a brand-new set of numbers. Saying that 2000 was part of the 1900s is fundamentally counter-intuitive and messy.