It's a bit of a mistake to classify Wittgenstein as a philosophy professor.
He studied aeronautics originally - bleeding edge in 1908 just after the Wright brothers flight - to the point of starting a Phd as well as holding a patent, and only then became interested mathematics and logic. It was as a soldier in the Austro-Hungarian army that he wrote Tractatus not cloistered in Cambridge. He then worked as a rural elementary school teacher and architect (he was friends with Adolf Loos, and his family had been patrons of the Secessionist movement).
He only began teaching at Cambridge when he was 40, and was not a professor until he was 50.
He studied aeronautics originally - bleeding edge in 1908 just after the Wright brothers flight - to the point of starting a Phd as well as holding a patent, and only then became interested mathematics and logic. It was as a soldier in the Austro-Hungarian army that he wrote Tractatus not cloistered in Cambridge. He then worked as a rural elementary school teacher and architect (he was friends with Adolf Loos, and his family had been patrons of the Secessionist movement).
He only began teaching at Cambridge when he was 40, and was not a professor until he was 50.