"Calling Thunderbird nonfree lumps Thunderbird in with programs one isn't permitted to inspect, modify, or share."

Sure; inspect, modify, or share reflects back on the four freedoms. https://www.gnu.org/philosophy/free-sw.html

And, thinking on those four freedoms, a given person needs all four of them for that person to have freedom with a particular program.

As we read in to the Free Software Definition we have "'Free software' does not mean 'noncommercial'. A free program must be available for commercial use, commercial development, and commercial distribution."

The FSF explains why Thunderbird falls short on the "share" part of the freedoms: One isn't allowed to share Thunderbird. At least, not fully in the way that the FSF would want (to share exact copies both commercially and non-commercially, given the comment in the Free Software Definition about free software does not mean noncommercial.) Sharing copies both commercially and noncommercially would be part of freedom #2. So it could be said that you either don't get freedom #2 (since you can't share it commercially) or that you only get half of freedom 2 (since you can share it non-commercially.)

So you only providing 3 or 3.5 of the 4 freedoms, depending on how you count.

Yes, there may be other programs that fall even shorter of providing all four freedoms. Maybe they'd only provide 2 or 1 of the freedoms (or maybe even none at all.) But does it matter how far they fall short of providing all four? Whether it provides 1, 2, 3 or 3.5 freedoms, it's still less than 4.

What else does one call a program that provides less than all four freedoms? "Non-free" is a common term. "Proprietary" is another.

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