Support Not all tenured faculty are full professors. ██████████ ████████ █████ ███████ ██████ ██ ███ ███████████ ██████████ ███ ███████ ██ ████ ██ ███ ████ ████ ███ ███ ██ ███ ███████ ███████ ██ ███ ███████████ ██████████ ███ ████ ███████████
The argument starts by stating that not all tenured faculty are full professors. It then uses that claim as a premise to state that while all the faculty in the linguistics department have tenure — another premise, embedded behind the "although" — it must be true that not all of these faculty are full professors.
This argument tells us that "not all" tenured faculty are full professors. This could mean that no tenured faculty are full professors, or it could mean that all the tenured faculty in the world, except one, are full professors. In short, this translates to "some" tenured faculty are not full professors: so we know that the set of "tenured faculty" and the set of "not full professors" intersect. We can write: tenure ←s→ /fullprof.
Then, we're told that all members of the linguistics department are tenured faculty. You could think of this as meaning that "faculty in the linguistics department" is a subset contained entirely within the set of "tenured faculty," or just translate this into a conditional. If a faculty member is in the linguistics department, then that faculty member has tenure: ling → tenure.
So far, we have:
Premise: ling → tenure ←s→ /fullprof
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Conclusion: ling ←s→ /fullprof
This conclusion (some faculty in the linguistics department must not be full professors) doesn't follow from the premises. Abstractly, just because all A are B, and some B are C, it doesn't follow that some A are C. This is the flaw pattern we're looking for:
Premise: A → B ←s→ C
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Conclusion: A ←s→ C
The flawed pattern of reasoning █████████ ██ ███ ████████ █████ ██ ████ ███████ ██ ████ █████████ ██ █████ ███ ██ ███ ██████████
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